thewordsmiths/stem_mcqa · Datasets at Hugging Face

subject stringclasses 1 value	question stringlengths 3 1.14k	options listlengths 5 5	solution stringlengths 18 3.7k	answer stringclasses 5 values
mathematics	Mars travels around the Sun at an approximate speed of 14.4 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)	[ "64,200", "75,300", "86,400", "97,500", "108,600" ]	The speed is 14.4 miles/s. Then 14.4/0.6 = 24 km/s 24*3600 = 86,400 kph The answer is C. The answer is: C	C
mathematics	100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is	[ "12 2/7%", "13 2/7%", "14 2/7%", "15 2/7%", "16 2/7%" ]	Explanation: So before solving this question we will get the C.P. and S.P. of 1 article to get the gain percent. C.P. of 1 orange = 350/100 = Rs 3.50 S.P. of one orange = 48/12 = Rs 4 [note: divided by 12 as 1 dozen contains 12 items] Gain = 4 - 3.50 = Rs 0.50 Gain%=0.50/ 3.50∗100=100 /7%=14 2/7% Option C The answer is: C	C
mathematics	After running a series of television advertisements, a leading beverage producer saw its sales increase by 25% to $6 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?	[ "$1.25 million", "$800,000", "$750,000", "$27,000", "$160,000" ]	Let sales in previous month = X 1.25 X=6,000,000 5/4 X= 6,000,000 ..........> X=4,800,000 sales per day= 4,800,000/30= less than 160,000 Answer: E The answer is: E	E
mathematics	The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:	[ "0.04", "0.08", "0.07", "0.06", "0.05" ]	= 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 = 489 x 0.05 x 2/0.09 x 93 x 100 = 489/9 x 93 x 10 = 163/279 x 1/10 = 0.58/10 = 0.058 (or) 0.06. Answer is D. The answer is: D	D
mathematics	find the odd man out in the following series 3, 6, 9, 12, 14	[ "3", "6", "9", "12", "14" ]	In the series except 14 all others are the multiples of 3 so the answer is option E) 14 The answer is: E	E
mathematics	How many keystrokes are needed to type numbers from 56 to 200?	[ "310", "391", "270", "289", "None of these" ]	Explanatory Answer While typing numbers from 56 to 200, there are 44 two-digit numbers: from 56 to 99. Each of these numbers requires 2 keystrokes. Therefore, 88 keystrokes to type the 2-digit numbers. There are 101 three-digit numbers: from 100 to 200. Each of these numbers requires 3 keystrokes. Therefore, 303 keystrokes to type the 3-digit numbers. Totally, therefore, one requires 88 + 303 = 391 keystrokes. Choice B is the correct answer. The answer is: B	B
mathematics	The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?	[ "238", "500", "287", "197", "172" ]	Explanation: Let the sum be Rs. P. Then, [P(1 + 10/100)2 - p] = 525 P[(11/10)2 - 1] = 525 P = (525 * 100) / 21 = 2500 Sum = Rs. 2500 So, S.I. = (2500 * 5 * 4)/100 = Rs. 500 Answer:B The answer is: B	B
mathematics	(935421 x 625) = ?	[ "584638125", "584638150", "584638180", "584638220", "584638225" ]	935421 x 625 = 935421 x 54 = 935421 x 10 4 2 = 935421 x 104 = 9354210000 24 16 = 584638125 A) The answer is: A	A
mathematics	Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability W that the World Series will consist of fewer than 7 games?	[ "12.5%", "25%", "31.25%", "68.75%", "75%" ]	Your explanation is very close toManhattan GMAT's official answer - it's quite uncanny: "There are many other ways this could happen. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for the two teams to split the first 6 games (3 wins for each). There are then 2 possible outcomes to break the tie in Game 7. Thus, there are a total of 202 = 40 ways for the World Series to last the full 7 games. The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2. Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is. Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is: (1/2)^7 = 1/128 40*1/128 = 40/128 = 31.25% Thus the probability W that the World Series will last less than 7 games is 100% - 31.25% = 68.75%. The correct answer is D." The answer is: D	D
mathematics	A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?	[ "278", "276", "20", "288", "21" ]	M = 15 S = 5 DS = 15 + 5 = 20 Answer: C The answer is: C	C
mathematics	Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?	[ "223", "301", "377", "1368", "222" ]	The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301. Answer:B The answer is: B	B
mathematics	A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 50 sq. feet, how many feet of fencing will be required?	[ "34", "40", "25", "88", "78" ]	We have: l = 20 ft and lb = 50 sq. ft. So, b = 2.5 ft. Length of fencing = (l + 2b) = (20 + 5) ft = 25 ft. ANSWER:C The answer is: C	C
mathematics	Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?	[ "1,104", "1,200", "1,240", "1,280", "1,320" ]	6 a.m. to 10 p.m. = 16 hours Number of cars serviced on weekdays = (16 * 9 * 5) Number of cars serviced on Saturday = (16 * 14) Number of cars serviced on Sunday = (16 * 10) Number of cars served in a week = 16(45 + 14 + 10) = 16 * 69 = 1104 Answer: A The answer is: A	A
mathematics	A plant manager must assign 6 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?	[ "24", "27", "33", "45", "54" ]	whatever : my take selecting team of 2 out of 10 to assign to the shifts =6C2 = 15 ways. now 2 out of 10 means total of 3 group possible. so putting them in shifts = counting methode: first, second, third, alt , alt = 321 = 6 here alt and alt are the same: so 6/2 = 3 ways. total ways of selecting = (selecting 2 out of 6)arranging those teams in shifts = 153 = 45 Ans: D The answer is: D	D
mathematics	If x ¤ y = (x + y)^2 - (x - y)^2. Then √6 ¤ √6 =	[ "0", "5", "10", "24", "20" ]	X = √6 and Y also =√6 Applying the function (√6+√6)^2 - (√6-√6)^2 = (2√6)^2 - 0 = 4 x 6 = 24. Note: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=√6 and y = √6 you get the answer 24. Answer D The answer is: D	D
mathematics	There are a total of 100 jars on the shelf. Small jars hold 3 liters and large jars hold 5 liters. The jars can hold a total of 376 liters. How many small jars are on the shelf?	[ "49", "53", "56", "59", "62" ]	Let S be the number of small jars and let L be the number of large jars. S + L = 100. L = 100 - S. 3S + 5L = 376. 3S + 5(100-S)= 376. -2S+500=376. 2S = 124. S = 62. The answer is E. The answer is: E	E
mathematics	Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:	[ "13/109", "13/162", "13/111", "13/102", "13/112" ]	Let S be the sample space. Then, n(S) = \inline {\color{Black}52C_{2} }=(52 x 51)/(2 x 1) = 1326. Let E = event of getting 1 spade and 1 heart. n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = \inline {\color{Black}13C_{1}\times 13C_{1} } = 169. P(E) = n(E)/n(S) = 169/1326 = 13/102. Answer: D) 13/102 The answer is: D	D
mathematics	At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 65 other employees of Company K, how many employees does Company K have?	[ "260", "180", "190", "200", "400" ]	Let the total number of employees in the company be x % of secretaries = 15% % of salespeople = 60% % of of employees other than secretaries and salespeople = 100 - 75 = 25% But this number is given as 65 so 25% of x = 65 x = 260 Therefore there a total of 260 employees in the company K Correct answer - A The answer is: A	A
mathematics	The radius of a cylindrical vessel is 9cm and height is 3cm. Find the whole surface of the cylinder?	[ "308 sq cm", "220 sq cm", "440 sq cm", "132 sq cm", "678.8 sq cm" ]	r = 9 h = 3 2πr(h + r) = 2 * 22/7 * 9(12) = 678.8 ANSWER:E The answer is: E	E
mathematics	How many three letter words are formed using the letters of the word TIME?	[ "12", "65", "26", "24", "71" ]	The number of letters in the given word is four. The number of three letter words that can be formed using these four letters is 4P3 = 4 * 3 * 2 = 24. Answer: D The answer is: D	D
mathematics	(18)7 x (5832)-2 ÷ (324)-1 = (18)7	[ "5", "4", "3", "2", "1" ]	Explanation : (18)7 x (183)-2 ÷ (182)-1 (18)7 x (18)-6 ÷ (18)-2 (18)7-6+2 = (18)3 Answer : Option C The answer is: C	C
mathematics	add 11% of 36 and 12% of 64.	[ "9.5", "10.5", "11.5", "12", "15" ]	11% of 36 + 12% of 64 3611/100+6412/100 3.9+7.6=11.5 answer C The answer is: C	C
mathematics	The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.	[ "1:4", "1:3", "1:2", "1:5", "None of these" ]	Explanation: Let their radii be 2x, x and their heights be h and H resp. Then, Volume of cone =1/3πr2h 1/3∗π∗(2x)2∗h /1/3∗π∗x2∗H =>hH=14 =>h:H=1:4 Option A The answer is: A	A
mathematics	In the recent, education conference in US, out of 500 men, 800 women, 1000 children present inside the building premises, 30% of the men, 25% of the women and 35% of the children were Russian. Find the percentage of people who were not Russian?	[ "63.50%", "65.23%", "62.30%", "69.57%", "67.23%" ]	Solution: Number of Russian men present there = 50030/100 = 150 Russian women = 80025/100 = 200 Russian children = 100035/100 = 350. Total member present in education conference = 500+800+1000 = 2300 Total Russian = 150+200+350 = 700 Hence, % of Russian present there = 700100/2300 = 30.43% % of people who were not Russian = 100-30.43 = 69.57%. Answer D The answer is: D	D
mathematics	If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is?	[ "68.33", "18.33", "28.33", "48.33", "98.33" ]	Explanation: Present worth = Amount - TrueDiscount = 110 -10 = Rs.100 SI on Rs.100 for a certain time = Rs.10 SI on Rs.100 for doube the time = Rs.20 TrueDiscount on Rs.120 = 120 - 100 = Rs.20 TrueDiscount on Rs.110 = = Rs.18.33 Answer: B The answer is: B	B
mathematics	If a quarter kg of onions costs 80 paise, how many paise will 100 gm cost?	[ "32 paise", "65 paise", "56 paise", "87 paise", "15 paise" ]	Explanation: Let the required cost be x paise. Less weight, Less cost (Direct proportion) 250 : 100 : : 80 : x 250 * x = (100 * 80) x = (100 * 80) / 250 x = 32 ANSWER: A The answer is: A	A
mathematics	Which of these lines in the xy-plane does not contain any point with two negative coordinates?	[ "y = 5x", "y = x + 6", "y = x^2 - 7", "y = x^3 + 2x", "y = 3x^6" ]	3x^6 is 0 when x is 0 and positive for all other values of x. The answer is E. The answer is: E	E
mathematics	What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?	[ "Rs. 64.12", "Rs. 64.19", "Rs. 14.19", "Rs. 64.10", "Rs. 64.99" ]	Explanation: S.I. = (1000 * 10 * 4)/100 = Rs. 400 C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10 Answer: D The answer is: D	D
mathematics	A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent Q above the cost price were his articles marked?	[ "100%", "80%", "75%", "66+2/3%", "50%" ]	Good question...2:11 min Marked Price (M) = Cost Price (C) + Mark up...(EQN. A) Selling price = 20% Discount over M = 0.8M Given that, a customer bargains and receives 20 articles for the price of 15 articles-->afurther loss of 25%to the dealer--> BUT aNET PROFIT of 20%over cost price (C) 0.75* 0.8 * M =1.2 * C Hence, M/C = 2/1 Q= 200% From Eqn. A , (C + Mark up)/C = 200% -->Mark up / C = 100% Ans. A The answer is: A	A
mathematics	A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:	[ "7 4/5", "9 3/5", "4 1/6", "7 7/12", "8 6/7" ]	A + B + C's 1 day's work = 1/4 A's 1 day's work = 1/16 B's 1 day's work = 1/12 Therefore C's 1 day's work = 1/4 - ( A's 1 day's work + B's 1 day's work ) => C's 1 day's work = 1/4 - ( 1/16 + 1/12 ) => C's 1 day's work = (12-3-4)/48 = 5/48 So, C alone can do the work in 48/5 = 9 3/5 days. So correct answer is B The answer is: B	B
mathematics	A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?	[ "1 hr 20 min", "4 hr", "3 hr", "6 hr 40 min", "2 hr 50 min" ]	Explanation: 1 tap can fill the tank in 10 hours. Therefore 1 tap can fill half tank in 5 hours. 3 taps can fill the tank in 10/3 hour. Therefore 3 taps can fill half tank in 10/6 hour =1 hour 40 minutes. Total time taken=6 hour 40 minutes Answer: Option D The answer is: D	D
mathematics	A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?	[ "399", "267", "350", "788", "277" ]	Speed = [300 / 18] m/sec = 50/3 m/sec. Let the length of the platform be x meters. Then, x + 300 / 39 = 50/3 3(x + 300) = 1950 è x = 350m. Answer:C The answer is: C	C
mathematics	Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 5 km/h. What is the distance traveled by Maxwell when they meet in the middle?	[ "16", "17", "18", "15", "14" ]	Consider Max starts from Point A and Brad Starts from Point B and move towards each other. Assume they shall meet at point O after Time 'T'. The question asks us to find OA. From the question stem we can make out :- Distance OA = 50km - Distance OB => 3xT = 40 - 5xT (i.e distance =Speed x Time) => 8T = 40 Hence T = 5 OA = 3 x 5 = 15 Km Answer : D The answer is: D	D
mathematics	If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal:	[ "0", "2ab", "2ab^4 – 6", "2ab^5-2b", "ab^5" ]	f(x)=ax^5 – 3x^2 + ax^2 – x f(b) = ab^5 – 3b^2 + ab^2 – b f(-b) = -ab^5 – 3b^2 + ab^2 + b f(b) - f(-b) = ab^5 – 3b^2 + ab^2 – b + ab^5 + 3b^2 - ab^2 – b =2ab^5-2b Answer D The answer is: D	D
mathematics	Which of the following equations has a solution in common with x^2 + 14x + 33 = 0?	[ "3x^2 - 5x - 2 = 0", "-x^2 - 3x + 28 = 0", "-x^2 - 2x + 99 = 0", "3x^2 + 30x + 27 = 0", "none of the above" ]	Given : x^2 + 14x + 33 = 0 => (x+3) (x+11) = 0 => -3 and -11 are the roots.. A. 3x^2 - 5x - 2 = 0 => (x-2) (3x+1) B. -x^2 - 3x + 28 = 0 => (-x+7) (x+4) C. -x^2 - 2x + 99 = 0 => (x+11) (-x+9) D. 3x^2 + 30x + 27 = 0 => (x+9) (3x+3) None of the answer equations have exactly both the same roots as the question equation, but at least one of them does share one of the two roots. So IMO "C" is correct answer... because it shares the one root (part of the solution), (-11), from the (x+11) portion of its simplification. The answer is: C	C
mathematics	If 12 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?	[ "10•9•8•7•6•5•4•3•2•1", "10•10", "10•9", "66", "36" ]	We got #12 people who shake each other's hands once ==> a pair of 2 12!/10!2! = 1211 / 21 = 66. Hence answer D. The answer is: D	D
mathematics	Calculate how many men are needed to finish a specific task in 35 days if it will take 20 men to complete the same task in 70 days. ?	[ "40", "20", "10", "30", "60" ]	men required to finish the work in 35 days = 20*70/35 = 40 Answer is A The answer is: A	A
mathematics	What is the diffference between the place value and face value of 4 in the numeral 2694?	[ "10", "0", "5", "3", "1" ]	place value of 4 = 4 * 1 = 4 face value of 4 = 4 4 - 4 = 0 B The answer is: B	B
mathematics	A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 390 sq. feet, how many feet of fencing will be required?	[ "34", "59", "68", "88", "92" ]	Given that length and area, so we can find the breadth. Length x Breadth = Area 20 x Breadth = 390 Breadth = 19.5 feet Area to be fenced = 2B + L = 2 (19.5) + 20 = 59 feet answer : B The answer is: B	B
mathematics	If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 14 days. If he works at reduced efficiency, he can work without break and finish that same job in 14 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?	[ "3/9", "4/5", "3/2", "4/6", "5/2" ]	We're told that there are 2 ways for Dale to complete a job: 1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 14 days. 2) Reduced Efficiency: 14 straight days with no days off. Working at Full Efficiency creates the following pattern: 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2+1+2+1+2= 14 days Totals: 10 days on, 4 days off Reduced Efficiency means that Dale will do 10 days of work in 14 days, thus those Reduceddaysare 10/4=5/2 of Full Efficiency. Answer : E The answer is: E	E
mathematics	What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?	[ "Rs.19828.89", "Rs.19828.80", "Rs.19878.80", "Rs.19825.80", "Rs.19828.90" ]	Let the sum be Rs.P P{ [ 1 + 8/100]2 - 1 } = 2828.80 P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs.19828.80 Answer:B The answer is: B	B
mathematics	If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={12,12,12...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?	[ "a) k(n+m+mn)+ k", "b) (1+n+m+mn)(k+1)", "c) k^2(mn+n/m)", "d) kmn(k+m+n)", "e) None of the above." ]	a) how many 2's are included? b) how many 3's are included? and c) how many 11's are included? For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We simply multiply these three numbers. NOTICE that one set, the set that includes no 2's, no 3's, and no 11's, is included. This is known in mathematics as thenull set, sometimes called the empty set, a set with no members. Technically, this is a subset of every possible set, but that's a technical detail of set theory that goes well beyond what the GMAT would expect students to know. Even the the calculation is not that difficult, some of the technical aspects of this question are not in line with the GMAT's expectations. The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together: (mn + m + n + 1)(k + 1). Mike C The answer is: C	C
mathematics	Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?	[ "10!/7!", "10!/(3!7!)", "10!/3!", "7!/3!", "7!/94!3!)" ]	Choosing 3 teams out of 10 when order of the teams matters - P310=10!7! Or: choosing which 3 teams out of 10 will get the medals - C310C103 and arranging them - 3!3!, so total - C310∗3!=10!7! Or: 1-2-3-4-5-6-7-8-9-10 (teams); G-S-B-N-N-N-N-N-N-N (GSB - medals, N - no medal); Permutation of 10 letters out of which 7 N's are identical is 10!7!10!7! (so you'll get 10!7!10!7! different ways of assigning the medals to the teams). Answer: A. The answer is: A	A
mathematics	10 men working 12 hours daily finish a work in 24 days. In how many days will they finish 1/4th of the work working 8 hours daily?	[ "9 days", "10 days", "11 days", "12 days", "18 days" ]	The number of days needed to finish 1/4 of the work =1/412/824 =9 days. Answer : A The answer is: A	A
mathematics	A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?	[ "1 kmph.", "2 kmph.", "3 kmph.", "4 kmph.", "5 kmph." ]	DS = 6 US = 4 S = ? S = (6 - 4)/2 = 1 kmph Answer: A The answer is: A	A
mathematics	Speed of a boat in standing water is 10kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?	[ "20.48hours", "21.48hours", "22.48hours", "23.48hours", "24.48hours" ]	Speed upstream = 8.5kmph Speed downstream = 11.5kmph Total time taken = 105/8.5 + 105/11.5 = 21.48 hours Answer is B The answer is: B	B
mathematics	At Joes Steakhouse the hourly wage for a chef is 22% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?	[ "$1.40", "$2.40", "$3.315", "$4.40", "$5.40" ]	Manager wages per hour = $8.50 Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25 Chef wages per hour = 22% greater than Dishwasher wages --> 22% of $4.25 = (22*($4.25)) /100 --> ($93.5)/100 --> $0.935 Therefore, Chef wages per hour = $4.25 + $0.935 ==> $5.185 Difference of wages between manager and chef = $8.50 - $5.185 ==> $3.315 ANSWER:C The answer is: C	C
mathematics	A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance W that he will have a matched pair?	[ "W=2/5", "W=3/5", "W=1/5", "1/2", "7/5" ]	P(both doves) + P(both rabbits) = p(matched pair) (3/5)(2/4) + (2/5)(1/4) = 2/5 Hi How did you get the probability 2/4 and 1/4??? You have 3 doves and 2 rabbits i.e. a total of 5 animals. The probability that you pick a dove on your first pick is 3/5 (since there are 3 doves) The probability that you pick a dove on your second pick too is 2/4 (because now only 2 doves are left after we picked a dove in the first pick. ALso only 4 animals are left to choose from) Similarly, The probability that you pick a rabbit on your first pick is 2/5 (since there are 2 rabbits) The probability that you pick a rabbit on your second pick too is 1/4 (because now only 1 rabbit is left after we picked a rabbit in the first pick. Also only 4 animals are left to choose from) Probability of picking a matched pair = 3/5 * 2/4 + 2/5 * 1/4 = 2/5 The answer is: A	A
mathematics	A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	[ "288", "240", "277", "127", "922" ]	Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer: B The answer is: B	B
mathematics	A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?	[ "1/3", "1/4", "1/5", "1/7", "1/8" ]	We have total of 8 parts: 3 parts of sand and 5 parts of cement. In order there to be half sand and half cement (4 parts of sand and 4 parts of cement), we should remove 1 part of cement. With 1 part of cement comes 3/5 parts of sand, so we should remove 1 + 3/5 = 8/5 part of the mixture, which is (8/5)/8 = 1/5 of the mixture. Answer: C. The answer is: C	C
mathematics	Ms. Feldman invested $10,000 for 1 year, part at 7% and part at 6.25%. If she earned a total interest of $656.50, how much was invested at each rate?	[ "4200 & 5800", "4600 & 5400", "9000 & 1000", "7000 & 3000", "6000 & 4000" ]	Interest rate of 4200/- =294 Interest rate of 5800/- =362.50 Answer is A The answer is: A	A
mathematics	There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are blue cups?	[ "1/80", "1/88", "1/90", "1/95", "1/99" ]	The number of ways of choosing 4 cups from the shelf is 12C4 = 495. The number of ways of choosing 4 blue cups is 5C4 = 5. P(4 blue cups) = 5/495=1/99. The answer is E. The answer is: E	E
mathematics	A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?	[ "E/(12 - n)", "(12 - n)/E", "E/[12(12-n)]", "(12-n)E/(12n)", "nE / [13(13-n)]" ]	total cost =E no of people willing to participate initially =13 initial cost for each =E/13 when n people decided not to participate Cost for each =E/13-n E The answer is: E	E
mathematics	Find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm?	[ "210 cm2", "150 cm2", "168 cm2", "198 cm2", "987 cm2" ]	1/2 * 28(9 + 6) = 210 cm2 Answer: A The answer is: A	A
mathematics	If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?	[ "120000", "27778", "27779", "27767", "29087" ]	X * (105/100) * (105/100) * (105/100) = 138915 X = 138915/1.157625 X = 120000 Answer: A The answer is: A	A
mathematics	Two brothers took the GMAT exam, the higher score is M and the lower one is N. If the difference between the two scores is equal to their average, what is the value of N/M ?	[ "3", "2", "1/2", "1/3", "There isn't enough data to answer the question." ]	M - N = (M + N)/2 Solving for N/M = 1/3 D The answer is: D	D
mathematics	If an object travels at three feet per second, how many feet does it travel in one hour?	[ "3488", "10800", "12788", "1800", "2881" ]	Explanation: If an object travels at 2 feet per second it covers 3x60 feet in one minute, and 3x60x60 feet in one hour. Answer = 10800 Answer: B) 10800 The answer is: B	B
mathematics	We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $368. How many math books did we buy?	[ "28", "32", "36", "40", "44" ]	M + H = 80 H = 80 - M 4M + 5H = 368 4M + 5*(80 - M) = 368 M = 32 The answer is B. The answer is: B	B
mathematics	On decreasing the price of a cooler by 25 %, its sale is increased by 50%. The effect on the revenue is?	[ "4 % decrease", "12.5 % increase", "16% decrease", "16% increase", "none of these" ]	Net% change in revenue = ( x + y + xy/100) % = [-25 + 50+ ( -25 x 50)/100]% or 12.5% ANSWER:B The answer is: B	B
mathematics	A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?	[ "9:8", "15:8", "27:8", "8:9", "8:15" ]	let x be side of square perimeter of square=4x=perimeter of triangle=3side of triangle so side of eq. triangle=(4/3)x diameter of circle circumscribing the square=sqrt(2)x area of circle circumscribing the square=pi(sqrt(2)x)^2/4=(pi/2)x^2 ----(1) to find radius of the circle inscribed in the triangle area of triangle=rs=sqrt(3)/4 (4x/3)^2 now s=(4/3)x+(4/3)x+(4/3)x/2=2x so sqrt(3)/4 (4x/3)^2=r2x gives r={2/3(3^1/2)}x area of the circle inscribed in the triangle=pi[{2/3(3^1/2)}x]^2 =pi(4/27)x^2 -------(2) so reqd ratio= eqn(1)/eqn(2) =[(pi/2)x^2]/[pi(4/27)*x^2]=27/8 so reqd ratio=27:8 ANSWER:C The answer is: C	C
mathematics	Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 54 seconds. What is the length of each train (in meters)?	[ "45", "55", "65", "75", "85" ]	The relative speed = 46 - 36 = 10 km/hr = 10 * 5/18 = 25/9 m/s In 54 seconds, the relative difference in distance traveled is 54 * 25/9 = 150 meters This distance is twice the length of each train. The length of each train is 150/2 = 75 meters The answer is D. The answer is: D	D
mathematics	Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours. How many hours will it take for both of them working together to paint the living room?	[ "2", "2 11/12", "3 5/11", "4 1/2", "5" ]	Work hrs=AB/(A+B)= 35/12 =2 11/12 Answer is B The answer is: B	B
mathematics	The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	[ "76 m", "178 m", "220 m", "187 m", "176 m" ]	Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (155 + x)/30 = 25/2 => 2(155+ x)= 750 => x = 220 m. Answer: C The answer is: C	C
mathematics	If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?	[ "Rs. 36", "Rs. 60", "Rs. 108", "Rs. 120", "None of these" ]	Whole work is done by A in (34) = 12days. Whole work is done by B in (46)=24days. A's wages: B's wages = A's 1 day's work: B's 1 day's work =1/12:1/24=2:1 A's share = Rs. (2/3*180)=Rs. 120. Correct Option: D The answer is: D	D
mathematics	If s, t, and p are positive numbers such that (s/(s+t))(10) + (t/(s+t))(20)=p and if s<t which of the following could be the value of p?	[ "10", "12", "15", "18", "30" ]	The answer is D. For any positive s and t, p is a number between 10 and 20. Since s < t, weight of 10 is inferior of weight of 20 -> p is > 15 -> 18 is the answer. The answer is: D	D
mathematics	The average height of 50 pupils in a class is 160 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?	[ "287 cm", "151 cm", "276 cm", "287 cm", "161 cm" ]	Total height = 160 * 50 = 8000 cm. New average = [8000 - 5 * 146 + 5 * 156 ] / 50 = 161 cm. Answer:E The answer is: E	E
mathematics	A man can row a boat three quarters of a kilometre in 11.25 minutes. What is the speed of the boat in still water?	[ "4 kmph", "8 kmph", "6 kmph", "5 kmph", "12 kmph" ]	Explanation: Simple Division. No stream current mentioned. Trick question. Speed= Distance/Time. Speed= 3/4 km / (11.25/60) hr Therefore, Speed = 4 km/hr ANSWER:A The answer is: A	A
mathematics	If x<0, y<0, and \|x\| > \|y\|, which of the following must be true?	[ "x > y", "y^2 > x^2", "x^3 > y^2", "x < y", "x < –y" ]	Correct Answer: (E) Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as \|x\|, and \|x\| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = \|x\|, and y is positive, so \|y\| = y. Thus x < y is the same statement as \|x\| > \|y\|, and (D) must be true. The answer is: D	D
mathematics	If the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers? I. LCM : 24; HCF : 6 II. LCM : 18; HCF : 8 III. LCM : 16; HCF : 9	[ "I only", "II and III only", "I and II only", "I and III only", "I, II and III" ]	We need to keep two things in mind here: 1. Product of two numbers = LCM*HCF 2. LCM should be a multiple of HCF Only Statement I follows these two rules. Correct Option A The answer is: A	A
mathematics	A certain ski shop sells pairs of gloves in 10 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?	[ "1/144", "1/143", "1/24", "1/23", "1/19" ]	there are 10 different colours sothere are 10 pairs of gloves dropped.. first can be any of 20..so 20/20.. second has to be its pair, which will be just one out of remaining 19.. 1/19.. overall prob=20/20*1/19= 1/19.. E The answer is: E	E
mathematics	There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?	[ "90", "100", "110", "180", "30" ]	Maximum points of intersection between n different circles = n(n - 1) = 65 = 30 Answer: E The answer is: E	E
mathematics	Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?	[ "12", "20", "24", "30", "36" ]	Let's assume that it takes 4 hours to go from point W to B. Then the distance between them becomes 240 which makes distance between B and C 120. (240+120)/(4+x) gives us the average speed which is 36. You find x=6. So the question simplifies itself to 120/6=20 Hence the answer is B. The answer is: B	B
mathematics	A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per second does the larger rim makes in terms of x ?	[ "4x/5", "75x", "48x", "24x", "x/75" ]	Let's try the explanation. We have two wheels. One with 28pi and the other one with 35pi. They have the same speed. In the smaller wheel it's 28pix, which must be equal to the speed of the bigger one (35pia number of revolutions).They are asking that number of revolutions (but in minutes, which makes the question even harder). Anyway, we have 28pix=35pia. (28pi*x)/(35pi). = 4x/5. Ans :A The answer is: A	A
mathematics	The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from c to d, inclusive, where 0<c<d?	[ "d(d+1)/2 - (c+1)(c+2)/2", "d(d+1)/2 - c(c+1)/2", "d(d+1)/2 - (c-1)c/2", "(d-1)d/2 - (c+1)(c+2)/2", "(d-1)d/2 - c(c+1)/2" ]	Or try plug-in method: let d=4 and c=3 --> then d+c=7. Let see which option yields 7. A. d(d+1)/2 - (c+1)(c+2)/2 = 10-10=0; B. d(d+1)/2 - c(c+1)/2 = 10-6=4; C. d(d+1)/2 - (c-1)c/2 = 10-3=7 --> OK; D. (d-1)d/2 - (c+1)(c+2)/2 = 6-10=-4; E. (d-1)d/2 - c(c+1)/2 = 6-6=0. Answer: C. The answer is: C	C
mathematics	If 5 men can dig a field in 20 days, how much time it will take 4 men to dig the same field?	[ "21", "22", "23", "24", "25" ]	E Less the number of men, more time it will take to dig the field (inversely proportion) 5 : 4 :: N : 20 N = 20 X 5 / 4 = 25 The answer is: E	E
mathematics	33 1/3% OF 210?	[ "70", "90", "110", "120", "130" ]	33 1/3 % = 1/3 1/3 × 210 = 70 A) The answer is: A	A
mathematics	The positive integers y and z leave remainders of 2 and 3, respectively, when divided by 6. y > z. What is the remainder when y– z is divided by 6?	[ "1", "2", "5", "3", "4" ]	Let's test out some values of p and q that satisfy the given information. y leaves are remainder of 2 when divided by 6 So, y COULD equal 8 z leaves are remainder of 3 when divided by 6 So, z COULD equal 3 What is the remainder when y – z is divided by 6? So, y - z = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5 Answer: C The answer is: C	C
mathematics	3+3.3+333+33.33=?	[ "362.33", "372.63", "702.33", "702", "None of them" ]	3 3.3 333 33.33 ---------- 372.63 ---------- Answer is B The answer is: B	B
mathematics	ZYXW’ as coded as ‘ABCD’ then ‘STUV’ is coded as	[ "YU", "YY", "U", "H", "W" ]	Here each letter is coded with its opposite letter. i.e. Z – A, Y – B, X – C, W – D. Similarly, S – H, T – G, U – F, V – E. Answer:D The answer is: D	D
mathematics	What is the area of a right angle triangle with base = 12 and height = 14 ?	[ "80", "81", "82", "83", "84" ]	Since the area of a right angle triangle is 1/2 * base * height Area = 1/2 * 12 * 14 = 84 Ans: E The answer is: E	E
mathematics	The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?	[ "2", "4", "6", "5", "7" ]	A + B + C = 48 B + C + D = 45 A + D = 13 A – D = 3 A + D = 13 2D = 10 D = 5 The answer is: D	D
mathematics	A and B go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?	[ "120 sec", "165 sec", "186 sec", "167 sec", "360 sec" ]	Time taken to meet for the first time at the starting point = LCM { length of the track / speed of A , length of the track / speed of B} = LCM {1800/ (36 * 5/18) , 1800/ (54 * 5 /18) } = LCM (180, 120) =360 sec. Answer:E The answer is: E	E
mathematics	Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?	[ "41", "66", "36", "70", "56" ]	8 shirts 9 pants we can combine 2 shirts with (9-3) pants 26=12 we can combine the other shirts (6) with any pants (9) 69=54 Thus total :12+54=66 ANS:B The answer is: B	B
mathematics	A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?	[ "60", "8", "7", "12", "13" ]	x * 3/5 * 1/5 = 9 x = 75 => 7 + 5 = 12 ANSWER:D The answer is: D	D
mathematics	A researcher computed the mean, the median, and the standard deviation R for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?	[ "The mean only", "The median only", "The standard deviation only", "The mean and the median", "The mean and the standard deviation" ]	If we add or subtract a constant to each term in a set the standard deviation R will not change.. If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant. Answer: D. The answer is: D	D
mathematics	Lakshmi has $100 in her piggy bank. How much will she have in her bank 15 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?	[ "210", "220", "230", "240", "250" ]	The dollar deposits are in an A.P. 1,2,3,4...15with common difference 1 Sum of the terms is n(n+1) / 2 i.e 15* (15+1) /2 = 15* 16/2 = 120 Total deposit therefore with Chiu-Lihas is 100 + 120= 220$ The answer is: B	B
mathematics	In a simultaneous throw of pair of dice .find the probability of getting the total more than 7	[ "5/2", "4/7", "4/3", "5/12", "2/7" ]	Here n(S)=(6*6)=36 let E=event of getting a total more than 7 ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)} P(E)=n(E)/n(S)=15/36=5/12. Ans: D The answer is: D	D
mathematics	In a bag containing only blue, red and green marbles, all but 15 are blue, all but 13 are red and all but 12 are green. How many are red?	[ "13", "7", "25", "20", "10" ]	All but blue means number of marbles except blue..hence, let x be the red marble,y be the green marble,z be the blue marble... x+y=15 y+z=13 x+z=12 solving this eqns, we get x=7 y=8 z=5 hence number of red marbles are 7 ANSWER:B The answer is: B	B
mathematics	Speed of boat in still water is 9km/hr . if boat moves upstream A to B in 2 hrs. & B to A in 1 hrs. Then find distance between A&B	[ "10km", "11km", "12km", "13km", "14km" ]	Let speed of stream = s kmph distance be x for upstream (9-s)2=x (speedtime=distance) for downstream (9+s)*1=x On solving we get x=12km ANSWER:C The answer is: C	C
mathematics	A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type.	[ "200, 400, 500", "300, 200, 600", "800, 400, 600", "400, 600, 800", "600, 700, 900" ]	Let the number of 50 p, 25 p and 20 p coins be 2x, 3x and 4x. Then 2x × 50/100 + 3x × 25/100 + 4x × 20/100 = 510 x/1 + 3x/4 + 4x/5 = 510 (20x + 15x + 16x)/20 = 510 ⇒ 51x/20 = 510 x = (510 × 20)/51 x = 200 2x = 2 × 200 = 400 3x = 3 × 200 = 600 4x = 4 × 200 = 800. Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively. Answer is D The answer is: D	D
mathematics	If x/6 and x/15 are integers, then x must be divisible by -	[ "12", "18", "30", "45", "60" ]	Factors of 6 2 and 3 factors of 15 are 3 and 5 So number is 235 = 30 ANSWER:C The answer is: C	C
mathematics	The average of numbers 0.44204, 0.44203, 0.44202 and 0.44201 is ?	[ "0.44202", "0.44204", "0.442022", "0.442025", "None" ]	Answer Average = (0.44204 + 0.44203 + 0.44202 + 0.44201)/ 4 =1.7681/ 4 =0.442025 Correct Option: D The answer is: D	D
mathematics	When two coins are tossed,Find the probability of getting all tails?	[ "1/3", "3/4", "1/8", "3/8", "1/4" ]	When two coins are tossed, S = {HH, HT, TH, TT} where H = Head and T = Tail Let E = event of getting all tails Then E = {TT} so, P(E) = n(E)/n(S) =1/4 The answer is: E	E
mathematics	A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is	[ "3.34", "3.36", "3.34", "6.32", "3.31" ]	Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2 = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) } = (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m.Answer:A The answer is: A	A
mathematics	The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is $48. Then the sum is	[ "$600", "$1000", "$1200", "$1500", "$2000" ]	20% of (Year 1 Interest) = 20% of (20% of Principal) = 48 Principal = $1200 Answer (C) The answer is: C	C
mathematics	Aishwarya Rai walks into a bank to cash out her check. By mistake the bank teller gives her dollar amount in change, and her cent amount in dollars. On the way home she spends 5 cent, and then suddenly she notices that she has twice the amount of her check. How much was her check amount ?	[ "21.55", "25.89", "30.56", "31.55", "31.63" ]	E The check was for dollars 31.63. The bank teller gave her dollars 63.31 She spent .05, and then she had dollars 63.26, which is twice the check. Let x be the dollars of the check, and y be the cent. The check was for 100x + y cent He was given 100y + x cent Also 100y + x - 5 = 2(100x + y) Expanding this out and rearranging, we find: 98y = 199x + 5 or 199x ≡ -5 (mod 98) or 982x + 3x ≡ -5 (mod 98) 3x ≡ -5 ≡ 93 (mod 98) this quickly leads to x = 31 The answer is: E	E
mathematics	A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?	[ "15 years", "11 years", "12 years", "18 years", "21 years" ]	100 ---- 200 ---- 7 400 ---- 7 800 ---- 7 ------ 21 years Answer: E The answer is: E	E
mathematics	If the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box?	[ "A - 56", "B - 57", "C - 58", "D - 59", "E - 60" ]	Let the number of black balls = x and the number of white balls = 6x Then, total number of balls in the box = x + 6x = 7x i.e., the total number of balls must be a multiple of 7 From the given choices, only 56 is the multiple of 7. Hence, 56 are the number of balls in the box. Answer is A. The answer is: A	A
mathematics	What is the number that should come in the place of question mark? 1050 420 168 67.2 ?	[ "29.88", "10.752", "4.3008", "26.88", "27.88" ]	1050/2.5 = 420 420/2.5 = 168 168/2.5 = 67.2 so 67.2/2.5 = 26.88 ANSWER:D The answer is: D	D
mathematics	Simplify 80âˆ’[5âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]	[ "23", "25", "89", "30", "32" ]	Explanation: =80âˆ’[5âˆ’(6+2(7âˆ’8+5))] (Please check due to overline, sign has been changed) =80âˆ’[5âˆ’(6+2Ã—4))] =80âˆ’[âˆ’9]=80+9=89 Option C The answer is: C	C

mathematics

Mars travels around the Sun at an approximate speed of 14.4 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)

[ "64,200", "75,300", "86,400", "97,500", "108,600" ]

The speed is 14.4 miles/s. Then 14.4/0.6 = 24 km/s 24*3600 = 86,400 kph The answer is C. The answer is: C

C

mathematics

100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is

[ "12 2/7%", "13 2/7%", "14 2/7%", "15 2/7%", "16 2/7%" ]

Explanation: So before solving this question we will get the C.P. and S.P. of 1 article to get the gain percent. C.P. of 1 orange = 350/100 = Rs 3.50 S.P. of one orange = 48/12 = Rs 4 [note: divided by 12 as 1 dozen contains 12 items] Gain = 4 - 3.50 = Rs 0.50 Gain%=0.50/ 3.50∗100=100 /7%=14 2/7% Option C The answer is: C

C

mathematics

After running a series of television advertisements, a leading beverage producer saw its sales increase by 25% to $6 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?

[ "$1.25 million", "$800,000", "$750,000", "$27,000", "$160,000" ]

Let sales in previous month = X 1.25 X=6,000,000 5/4 X= 6,000,000 ..........> X=4,800,000 sales per day= 4,800,000/30= less than 160,000 Answer: E The answer is: E

E

mathematics

The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:

[ "0.04", "0.08", "0.07", "0.06", "0.05" ]

= 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 = 489 x 0.05 x 2/0.09 x 93 x 100 = 489/9 x 93 x 10 = 163/279 x 1/10 = 0.58/10 = 0.058 (or) 0.06. Answer is D. The answer is: D

D

mathematics

find the odd man out in the following series 3, 6, 9, 12, 14

[ "3", "6", "9", "12", "14" ]

In the series except 14 all others are the multiples of 3 so the answer is option E) 14 The answer is: E

E

mathematics

How many keystrokes are needed to type numbers from 56 to 200?

[ "310", "391", "270", "289", "None of these" ]

Explanatory Answer While typing numbers from 56 to 200, there are 44 two-digit numbers: from 56 to 99. Each of these numbers requires 2 keystrokes. Therefore, 88 keystrokes to type the 2-digit numbers. There are 101 three-digit numbers: from 100 to 200. Each of these numbers requires 3 keystrokes. Therefore, 303 keystrokes to type the 3-digit numbers. Totally, therefore, one requires 88 + 303 = 391 keystrokes. Choice B is the correct answer. The answer is: B

B

mathematics

The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?

[ "238", "500", "287", "197", "172" ]

Explanation: Let the sum be Rs. P. Then, [P(1 + 10/100)2 - p] = 525 P[(11/10)2 - 1] = 525 P = (525 * 100) / 21 = 2500 Sum = Rs. 2500 So, S.I. = (2500 * 5 * 4)/100 = Rs. 500 Answer:B The answer is: B

B

mathematics

(935421 x 625) = ?

[ "584638125", "584638150", "584638180", "584638220", "584638225" ]

935421 x 625 = 935421 x 54 = 935421 x 10 4 2 = 935421 x 104 = 9354210000 24 16 = 584638125 A) The answer is: A

A

mathematics

Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability W that the World Series will consist of fewer than 7 games?

[ "12.5%", "25%", "31.25%", "68.75%", "75%" ]

Your explanation is very close toManhattan GMAT's official answer - it's quite uncanny: "There are many other ways this could happen. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for the two teams to split the first 6 games (3 wins for each). There are then 2 possible outcomes to break the tie in Game 7. Thus, there are a total of 202 = 40 ways for the World Series to last the full 7 games. The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2. Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is. Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is: (1/2)^7 = 1/128 40*1/128 = 40/128 = 31.25% Thus the probability W that the World Series will last less than 7 games is 100% - 31.25% = 68.75%. The correct answer is D." The answer is: D

D

mathematics

A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?

[ "278", "276", "20", "288", "21" ]

M = 15 S = 5 DS = 15 + 5 = 20 Answer: C The answer is: C

C

mathematics

Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?

[ "223", "301", "377", "1368", "222" ]

The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301. Answer:B The answer is: B

B

mathematics

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 50 sq. feet, how many feet of fencing will be required?

[ "34", "40", "25", "88", "78" ]

We have: l = 20 ft and lb = 50 sq. ft. So, b = 2.5 ft. Length of fencing = (l + 2b) = (20 + 5) ft = 25 ft. ANSWER:C The answer is: C

C

mathematics

Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?

[ "1,104", "1,200", "1,240", "1,280", "1,320" ]

6 a.m. to 10 p.m. = 16 hours Number of cars serviced on weekdays = (16 * 9 * 5) Number of cars serviced on Saturday = (16 * 14) Number of cars serviced on Sunday = (16 * 10) Number of cars served in a week = 16(45 + 14 + 10) = 16 * 69 = 1104 Answer: A The answer is: A

A

mathematics

A plant manager must assign 6 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?

[ "24", "27", "33", "45", "54" ]

whatever : my take selecting team of 2 out of 10 to assign to the shifts =6C2 = 15 ways. now 2 out of 10 means total of 3 group possible. so putting them in shifts = counting methode: first, second, third, alt , alt = 3*2*1 = 6 here alt and alt are the same: so 6/2 = 3 ways. total ways of selecting = (selecting 2 out of 6)*arranging those teams in shifts = 15*3 = 45 Ans: D The answer is: D

D

mathematics

If x ¤ y = (x + y)^2 - (x - y)^2. Then √6 ¤ √6 =

[ "0", "5", "10", "24", "20" ]

X = √6 and Y also =√6 Applying the function (√6+√6)^2 - (√6-√6)^2 = (2√6)^2 - 0 = 4 x 6 = 24. Note: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=√6 and y = √6 you get the answer 24. Answer D The answer is: D

D

mathematics

There are a total of 100 jars on the shelf. Small jars hold 3 liters and large jars hold 5 liters. The jars can hold a total of 376 liters. How many small jars are on the shelf?

[ "49", "53", "56", "59", "62" ]

Let S be the number of small jars and let L be the number of large jars. S + L = 100. L = 100 - S. 3S + 5L = 376. 3S + 5(100-S)= 376. -2S+500=376. 2S = 124. S = 62. The answer is E. The answer is: E

E

mathematics

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

[ "13/109", "13/162", "13/111", "13/102", "13/112" ]

Let S be the sample space. Then, n(S) = \inline {\color{Black}52C_{2} }=(52 x 51)/(2 x 1) = 1326. Let E = event of getting 1 spade and 1 heart. n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = \inline {\color{Black}13C_{1}\times 13C_{1} } = 169. P(E) = n(E)/n(S) = 169/1326 = 13/102. Answer: D) 13/102 The answer is: D

D

mathematics

At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 65 other employees of Company K, how many employees does Company K have?

[ "260", "180", "190", "200", "400" ]

Let the total number of employees in the company be x % of secretaries = 15% % of salespeople = 60% % of of employees other than secretaries and salespeople = 100 - 75 = 25% But this number is given as 65 so 25% of x = 65 x = 260 Therefore there a total of 260 employees in the company K Correct answer - A The answer is: A

A

mathematics

The radius of a cylindrical vessel is 9cm and height is 3cm. Find the whole surface of the cylinder?

[ "308 sq cm", "220 sq cm", "440 sq cm", "132 sq cm", "678.8 sq cm" ]

r = 9 h = 3 2πr(h + r) = 2 * 22/7 * 9(12) = 678.8 ANSWER:E The answer is: E

E

mathematics

How many three letter words are formed using the letters of the word TIME?

[ "12", "65", "26", "24", "71" ]

The number of letters in the given word is four. The number of three letter words that can be formed using these four letters is 4P3 = 4 * 3 * 2 = 24. Answer: D The answer is: D

D

mathematics

(18)7 x (5832)-2 ÷ (324)-1 = (18)7

[ "5", "4", "3", "2", "1" ]

Explanation : (18)7 x (183)-2 ÷ (182)-1 (18)7 x (18)-6 ÷ (18)-2 (18)7-6+2 = (18)3 Answer : Option C The answer is: C

C

mathematics

add 11% of 36 and 12% of 64.

[ "9.5", "10.5", "11.5", "12", "15" ]

11% of 36 + 12% of 64 36*11/100+64*12/100 3.9+7.6=11.5 answer C The answer is: C

C

mathematics

The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.

[ "1:4", "1:3", "1:2", "1:5", "None of these" ]

Explanation: Let their radii be 2x, x and their heights be h and H resp. Then, Volume of cone =1/3πr2h 1/3∗π∗(2x)2∗h /1/3∗π∗x2∗H =>hH=14 =>h:H=1:4 Option A The answer is: A

A

mathematics

In the recent, education conference in US, out of 500 men, 800 women, 1000 children present inside the building premises, 30% of the men, 25% of the women and 35% of the children were Russian. Find the percentage of people who were not Russian?

[ "63.50%", "65.23%", "62.30%", "69.57%", "67.23%" ]

Solution: Number of Russian men present there = 500*30/100 = 150 Russian women = 800*25/100 = 200 Russian children = 1000*35/100 = 350. Total member present in education conference = 500+800+1000 = 2300 Total Russian = 150+200+350 = 700 Hence, % of Russian present there = 700*100/2300 = 30.43% % of people who were not Russian = 100-30.43 = 69.57%. Answer D The answer is: D

D

mathematics

If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is?

[ "68.33", "18.33", "28.33", "48.33", "98.33" ]

Explanation: Present worth = Amount - TrueDiscount = 110 -10 = Rs.100 SI on Rs.100 for a certain time = Rs.10 SI on Rs.100 for doube the time = Rs.20 TrueDiscount on Rs.120 = 120 - 100 = Rs.20 TrueDiscount on Rs.110 = = Rs.18.33 Answer: B The answer is: B

B

mathematics

If a quarter kg of onions costs 80 paise, how many paise will 100 gm cost?

[ "32 paise", "65 paise", "56 paise", "87 paise", "15 paise" ]

Explanation: Let the required cost be x paise. Less weight, Less cost (Direct proportion) 250 : 100 : : 80 : x 250 * x = (100 * 80) x = (100 * 80) / 250 x = 32 ANSWER: A The answer is: A

A

mathematics

Which of these lines in the xy-plane does not contain any point with two negative coordinates?

[ "y = 5x", "y = x + 6", "y = x^2 - 7", "y = x^3 + 2x", "y = 3x^6" ]

3x^6 is 0 when x is 0 and positive for all other values of x. The answer is E. The answer is: E

E

mathematics

What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?

[ "Rs. 64.12", "Rs. 64.19", "Rs. 14.19", "Rs. 64.10", "Rs. 64.99" ]

Explanation: S.I. = (1000 * 10 * 4)/100 = Rs. 400 C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10 Answer: D The answer is: D

D

mathematics

A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent Q above the cost price were his articles marked?

[ "100%", "80%", "75%", "66+2/3%", "50%" ]

Good question...2:11 min Marked Price (M) = Cost Price (C) + Mark up...(EQN. A) Selling price = 20% Discount over M = 0.8*M Given that, a customer bargains and receives 20 articles for the price of 15 articles-->*afurther loss of 25%to the dealer--> BUT aNET PROFIT of 20%over cost price (C) 0.75* 0.8 * M =1.2 * C Hence, M/C = 2/1 Q= 200% From Eqn. A , (C + Mark up)/C = 200% -->Mark up / C = 100% Ans. A The answer is: A

A

mathematics

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

[ "7 4/5", "9 3/5", "4 1/6", "7 7/12", "8 6/7" ]

A + B + C's 1 day's work = 1/4 A's 1 day's work = 1/16 B's 1 day's work = 1/12 Therefore C's 1 day's work = 1/4 - ( A's 1 day's work + B's 1 day's work ) => C's 1 day's work = 1/4 - ( 1/16 + 1/12 ) => C's 1 day's work = (12-3-4)/48 = 5/48 So, C alone can do the work in 48/5 = 9 3/5 days. So correct answer is B The answer is: B

B

mathematics

A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?

[ "1 hr 20 min", "4 hr", "3 hr", "6 hr 40 min", "2 hr 50 min" ]

Explanation: 1 tap can fill the tank in 10 hours. Therefore 1 tap can fill half tank in 5 hours. 3 taps can fill the tank in 10/3 hour. Therefore 3 taps can fill half tank in 10/6 hour =1 hour 40 minutes. Total time taken=6 hour 40 minutes Answer: Option D The answer is: D

D

mathematics

A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

[ "399", "267", "350", "788", "277" ]

Speed = [300 / 18] m/sec = 50/3 m/sec. Let the length of the platform be x meters. Then, x + 300 / 39 = 50/3 3(x + 300) = 1950 è x = 350m. Answer:C The answer is: C

C

mathematics

Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 5 km/h. What is the distance traveled by Maxwell when they meet in the middle?

[ "16", "17", "18", "15", "14" ]

Consider Max starts from Point A and Brad Starts from Point B and move towards each other. Assume they shall meet at point O after Time 'T'. The question asks us to find OA. From the question stem we can make out :- Distance OA = 50km - Distance OB => 3xT = 40 - 5xT (i.e distance =Speed x Time) => 8T = 40 Hence T = 5 OA = 3 x 5 = 15 Km Answer : D The answer is: D

D

mathematics

If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal:

[ "0", "2ab", "2ab^4 – 6", "2ab^5-2b", "ab^5" ]

f(x)=ax^5 – 3x^2 + ax^2 – x f(b) = ab^5 – 3b^2 + ab^2 – b f(-b) = -ab^5 – 3b^2 + ab^2 + b f(b) - f(-b) = ab^5 – 3b^2 + ab^2 – b + ab^5 + 3b^2 - ab^2 – b =2ab^5-2b Answer D The answer is: D

D

mathematics

Which of the following equations has a solution in common with x^2 + 14x + 33 = 0?

[ "3x^2 - 5x - 2 = 0", "-x^2 - 3x + 28 = 0", "-x^2 - 2x + 99 = 0", "3x^2 + 30x + 27 = 0", "none of the above" ]

Given : x^2 + 14x + 33 = 0 => (x+3) (x+11) = 0 => -3 and -11 are the roots.. A. 3x^2 - 5x - 2 = 0 => (x-2) (3x+1) B. -x^2 - 3x + 28 = 0 => (-x+7) (x+4) C. -x^2 - 2x + 99 = 0 => (x+11) (-x+9) D. 3x^2 + 30x + 27 = 0 => (x+9) (3x+3) None of the answer equations have exactly both the same roots as the question equation, but at least one of them does share one of the two roots. So IMO "C" is correct answer... because it shares the one root (part of the solution), (-11), from the (x+11) portion of its simplification. The answer is: C

C

mathematics

If 12 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?

[ "10•9•8•7•6•5•4•3•2•1", "10•10", "10•9", "66", "36" ]

We got #12 people who shake each other's hands once ==> a pair of 2 12!/10!2! = 12*11 / 2*1 = 66. Hence answer D. The answer is: D

D

mathematics

Calculate how many men are needed to finish a specific task in 35 days if it will take 20 men to complete the same task in 70 days. ?

[ "40", "20", "10", "30", "60" ]

men required to finish the work in 35 days = 20*70/35 = 40 Answer is A The answer is: A

A

mathematics

What is the diffference between the place value and face value of 4 in the numeral 2694?

[ "10", "0", "5", "3", "1" ]

place value of 4 = 4 * 1 = 4 face value of 4 = 4 4 - 4 = 0 B The answer is: B

B

mathematics

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 390 sq. feet, how many feet of fencing will be required?

[ "34", "59", "68", "88", "92" ]

Given that length and area, so we can find the breadth. Length x Breadth = Area 20 x Breadth = 390 Breadth = 19.5 feet Area to be fenced = 2B + L = 2 (19.5) + 20 = 59 feet answer : B The answer is: B

B

mathematics

If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 14 days. If he works at reduced efficiency, he can work without break and finish that same job in 14 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?

[ "3/9", "4/5", "3/2", "4/6", "5/2" ]

We're told that there are 2 ways for Dale to complete a job: 1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 14 days. 2) Reduced Efficiency: 14 straight days with no days off. Working at Full Efficiency creates the following pattern: 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2+1+2+1+2= 14 days Totals: 10 days on, 4 days off Reduced Efficiency means that Dale will do 10 days of work in 14 days, thus those Reduceddaysare 10/4=5/2 of Full Efficiency. Answer : E The answer is: E

E

mathematics

What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?

[ "Rs.19828.89", "Rs.19828.80", "Rs.19878.80", "Rs.19825.80", "Rs.19828.90" ]

Let the sum be Rs.P P{ [ 1 + 8/100]2 - 1 } = 2828.80 P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs.19828.80 Answer:B The answer is: B

B

mathematics

If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={12,12,12...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?

[ "a) k(n+m+mn)+ k", "b) (1+n+m+mn)(k+1)", "c) k^2(mn+n/m)", "d) kmn(k+m+n)", "e) None of the above." ]

a) how many 2's are included? b) how many 3's are included? and c) how many 11's are included? For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We simply multiply these three numbers. NOTICE that one set, the set that includes no 2's, no 3's, and no 11's, is included. This is known in mathematics as thenull set, sometimes called the empty set, a set with no members. Technically, this is a subset of every possible set, but that's a technical detail of set theory that goes well beyond what the GMAT would expect students to know. Even the the calculation is not that difficult, some of the technical aspects of this question are not in line with the GMAT's expectations. The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together: (mn + m + n + 1)(k + 1). Mike C The answer is: C

C

mathematics

Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?

[ "10!/7!", "10!/(3!7!)", "10!/3!", "7!/3!", "7!/94!3!)" ]

Choosing 3 teams out of 10 when order of the teams matters - P310=10!7! Or: choosing which 3 teams out of 10 will get the medals - C310C103 and arranging them - 3!3!, so total - C310∗3!=10!7! Or: 1-2-3-4-5-6-7-8-9-10 (teams); G-S-B-N-N-N-N-N-N-N (GSB - medals, N - no medal); Permutation of 10 letters out of which 7 N's are identical is 10!7!10!7! (so you'll get 10!7!10!7! different ways of assigning the medals to the teams). Answer: A. The answer is: A

A

mathematics

10 men working 12 hours daily finish a work in 24 days. In how many days will they finish 1/4th of the work working 8 hours daily?

[ "9 days", "10 days", "11 days", "12 days", "18 days" ]

The number of days needed to finish 1/4 of the work =1/4*12/8*24 =9 days. Answer : A The answer is: A

A

mathematics

A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?

[ "1 kmph.", "2 kmph.", "3 kmph.", "4 kmph.", "5 kmph." ]

DS = 6 US = 4 S = ? S = (6 - 4)/2 = 1 kmph Answer: A The answer is: A

A

mathematics

Speed of a boat in standing water is 10kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?

[ "20.48hours", "21.48hours", "22.48hours", "23.48hours", "24.48hours" ]

Speed upstream = 8.5kmph Speed downstream = 11.5kmph Total time taken = 105/8.5 + 105/11.5 = 21.48 hours Answer is B The answer is: B

B

mathematics

At Joes Steakhouse the hourly wage for a chef is 22% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?

[ "$1.40", "$2.40", "$3.315", "$4.40", "$5.40" ]

Manager wages per hour = $8.50 Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25 Chef wages per hour = 22% greater than Dishwasher wages --> 22% of $4.25 = (22*($4.25)) /100 --> ($93.5)/100 --> $0.935 Therefore, Chef wages per hour = $4.25 + $0.935 ==> $5.185 Difference of wages between manager and chef = $8.50 - $5.185 ==> $3.315 ANSWER:C The answer is: C

C

mathematics

A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance W that he will have a matched pair?

[ "W=2/5", "W=3/5", "W=1/5", "1/2", "7/5" ]

P(both doves) + P(both rabbits) = p(matched pair) (3/5)*(2/4) + (2/5)*(1/4) = 2/5 Hi How did you get the probability 2/4 and 1/4??? You have 3 doves and 2 rabbits i.e. a total of 5 animals. The probability that you pick a dove on your first pick is 3/5 (since there are 3 doves) The probability that you pick a dove on your second pick too is 2/4 (because now only 2 doves are left after we picked a dove in the first pick. ALso only 4 animals are left to choose from) Similarly, The probability that you pick a rabbit on your first pick is 2/5 (since there are 2 rabbits) The probability that you pick a rabbit on your second pick too is 1/4 (because now only 1 rabbit is left after we picked a rabbit in the first pick. Also only 4 animals are left to choose from) Probability of picking a matched pair = 3/5 * 2/4 + 2/5 * 1/4 = 2/5 The answer is: A

A

mathematics

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

[ "288", "240", "277", "127", "922" ]

Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer: B The answer is: B

B

mathematics

A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?

[ "1/3", "1/4", "1/5", "1/7", "1/8" ]

We have total of 8 parts: 3 parts of sand and 5 parts of cement. In order there to be half sand and half cement (4 parts of sand and 4 parts of cement), we should remove 1 part of cement. With 1 part of cement comes 3/5 parts of sand, so we should remove 1 + 3/5 = 8/5 part of the mixture, which is (8/5)/8 = 1/5 of the mixture. Answer: C. The answer is: C

C

mathematics

Ms. Feldman invested $10,000 for 1 year, part at 7% and part at 6.25%. If she earned a total interest of $656.50, how much was invested at each rate?

[ "4200 & 5800", "4600 & 5400", "9000 & 1000", "7000 & 3000", "6000 & 4000" ]

Interest rate of 4200/- =294 Interest rate of 5800/- =362.50 Answer is A The answer is: A

A

mathematics

There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are blue cups?

[ "1/80", "1/88", "1/90", "1/95", "1/99" ]

The number of ways of choosing 4 cups from the shelf is 12C4 = 495. The number of ways of choosing 4 blue cups is 5C4 = 5. P(4 blue cups) = 5/495=1/99. The answer is E. The answer is: E

E

mathematics

A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?

[ "E/(12 - n)", "(12 - n)/E", "E/[12(12-n)]", "(12-n)E/(12n)", "nE / [13(13-n)]" ]

total cost =E no of people willing to participate initially =13 initial cost for each =E/13 when n people decided not to participate Cost for each =E/13-n E The answer is: E

E

mathematics

Find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm?

[ "210 cm2", "150 cm2", "168 cm2", "198 cm2", "987 cm2" ]

1/2 * 28(9 + 6) = 210 cm2 Answer: A The answer is: A

A

mathematics

If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?

[ "120000", "27778", "27779", "27767", "29087" ]

X * (105/100) * (105/100) * (105/100) = 138915 X = 138915/1.157625 X = 120000 Answer: A The answer is: A

A

mathematics

Two brothers took the GMAT exam, the higher score is M and the lower one is N. If the difference between the two scores is equal to their average, what is the value of N/M ?

[ "3", "2", "1/2", "1/3", "There isn't enough data to answer the question." ]

M - N = (M + N)/2 Solving for N/M = 1/3 D The answer is: D

D

mathematics

If an object travels at three feet per second, how many feet does it travel in one hour?

[ "3488", "10800", "12788", "1800", "2881" ]

Explanation: If an object travels at 2 feet per second it covers 3x60 feet in one minute, and 3x60x60 feet in one hour. Answer = 10800 Answer: B) 10800 The answer is: B

B

mathematics

We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $368. How many math books did we buy?

[ "28", "32", "36", "40", "44" ]

M + H = 80 H = 80 - M 4M + 5H = 368 4M + 5*(80 - M) = 368 M = 32 The answer is B. The answer is: B

B

mathematics

On decreasing the price of a cooler by 25 %, its sale is increased by 50%. The effect on the revenue is?

[ "4 % decrease", "12.5 % increase", "16% decrease", "16% increase", "none of these" ]

Net% change in revenue = ( x + y + xy/100) % = [-25 + 50+ ( -25 x 50)/100]% or 12.5% ANSWER:B The answer is: B

B

mathematics

A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?

[ "9:8", "15:8", "27:8", "8:9", "8:15" ]

let x be side of square perimeter of square=4x=perimeter of triangle=3*side of triangle so side of eq. triangle=(4/3)*x diameter of circle circumscribing the square=sqrt(2)*x area of circle circumscribing the square=pi*(sqrt(2)*x)^2/4=(pi/2)*x^2 ----(1) to find radius of the circle inscribed in the triangle area of triangle=r*s=sqrt(3)/4 * (4x/3)^2 now s=(4/3)*x+(4/3)*x+(4/3)*x/2=2x so sqrt(3)/4 * (4x/3)^2=r*2x gives r={2/3*(3^1/2)}*x area of the circle inscribed in the triangle=pi*[{2/3*(3^1/2)}*x]^2 =pi*(4/27)*x^2 -------(2) so reqd ratio= eqn(1)/eqn(2) =[(pi/2)*x^2]/[pi*(4/27)*x^2]=27/8 so reqd ratio=27:8 ANSWER:C The answer is: C

C

mathematics

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 54 seconds. What is the length of each train (in meters)?

[ "45", "55", "65", "75", "85" ]

The relative speed = 46 - 36 = 10 km/hr = 10 * 5/18 = 25/9 m/s In 54 seconds, the relative difference in distance traveled is 54 * 25/9 = 150 meters This distance is twice the length of each train. The length of each train is 150/2 = 75 meters The answer is D. The answer is: D

D

mathematics

Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours. How many hours will it take for both of them working together to paint the living room?

[ "2", "2 11/12", "3 5/11", "4 1/2", "5" ]

Work hrs=AB/(A+B)= 35/12 =2 11/12 Answer is B The answer is: B

B

mathematics

The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is?

[ "76 m", "178 m", "220 m", "187 m", "176 m" ]

Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (155 + x)/30 = 25/2 => 2(155+ x)= 750 => x = 220 m. Answer: C The answer is: C

C

mathematics

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?

[ "Rs. 36", "Rs. 60", "Rs. 108", "Rs. 120", "None of these" ]

Whole work is done by A in (3*4) = 12days. Whole work is done by B in (4*6)=24days. A's wages: B's wages = A's 1 day's work: B's 1 day's work =1/12:1/24=2:1 A's share = Rs. (2/3*180)=Rs. 120. Correct Option: D The answer is: D

D

mathematics

If s, t, and p are positive numbers such that (s/(s+t))(10) + (t/(s+t))(20)=p and if s<t which of the following could be the value of p?

[ "10", "12", "15", "18", "30" ]

The answer is D. For any positive s and t, p is a number between 10 and 20. Since s < t, weight of 10 is inferior of weight of 20 -> p is > 15 -> 18 is the answer. The answer is: D

D

mathematics

The average height of 50 pupils in a class is 160 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?

[ "287 cm", "151 cm", "276 cm", "287 cm", "161 cm" ]

Total height = 160 * 50 = 8000 cm. New average = [8000 - 5 * 146 + 5 * 156 ] / 50 = 161 cm. Answer:E The answer is: E

E

mathematics

A man can row a boat three quarters of a kilometre in 11.25 minutes. What is the speed of the boat in still water?

[ "4 kmph", "8 kmph", "6 kmph", "5 kmph", "12 kmph" ]

Explanation: Simple Division. No stream current mentioned. Trick question. Speed= Distance/Time. Speed= 3/4 km / (11.25/60) hr Therefore, Speed = 4 km/hr ANSWER:A The answer is: A

A

mathematics

If x<0, y<0, and |x| > |y|, which of the following must be true?

[ "x > y", "y^2 > x^2", "x^3 > y^2", "x < y", "x < –y" ]

Correct Answer: (E) Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x < y is the same statement as |x| > |y|, and (D) must be true. The answer is: D

D

mathematics

If the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers? I. LCM : 24; HCF : 6 II. LCM : 18; HCF : 8 III. LCM : 16; HCF : 9

[ "I only", "II and III only", "I and II only", "I and III only", "I, II and III" ]

We need to keep two things in mind here: 1. Product of two numbers = LCM*HCF 2. LCM should be a multiple of HCF Only Statement I follows these two rules. Correct Option A The answer is: A

A

mathematics

A certain ski shop sells pairs of gloves in 10 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?

[ "1/144", "1/143", "1/24", "1/23", "1/19" ]

there are 10 different colours sothere are 10 pairs of gloves dropped.. first can be any of 20..so 20/20.. second has to be its pair, which will be just one out of remaining 19.. 1/19.. overall prob=20/20*1/19= 1/19.. E The answer is: E

E

mathematics

There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?

[ "90", "100", "110", "180", "30" ]

Maximum points of intersection between n different circles = n*(n - 1) = 6*5 = 30 Answer: E The answer is: E

E

mathematics

Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?

[ "12", "20", "24", "30", "36" ]

Let's assume that it takes 4 hours to go from point W to B. Then the distance between them becomes 240 which makes distance between B and C 120. (240+120)/(4+x) gives us the average speed which is 36. You find x=6. So the question simplifies itself to 120/6=20 Hence the answer is B. The answer is: B

B

mathematics

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per second does the larger rim makes in terms of x ?

[ "4x/5", "75x", "48x", "24x", "x/75" ]

Let's try the explanation. We have two wheels. One with 28pi and the other one with 35pi. They have the same speed. In the smaller wheel it's 28pi*x, which must be equal to the speed of the bigger one (35pi*a number of revolutions).They are asking that number of revolutions (but in minutes, which makes the question even harder). Anyway, we have 28pi*x=35pi*a. (28pi*x)/(35pi). = 4x/5. Ans :A The answer is: A

A

mathematics

The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from c to d, inclusive, where 0<c<d?

[ "d(d+1)/2 - (c+1)(c+2)/2", "d(d+1)/2 - c(c+1)/2", "d(d+1)/2 - (c-1)c/2", "(d-1)d/2 - (c+1)(c+2)/2", "(d-1)d/2 - c(c+1)/2" ]

Or try plug-in method: let d=4 and c=3 --> then d+c=7. Let see which option yields 7. A. d(d+1)/2 - (c+1)(c+2)/2 = 10-10=0; B. d(d+1)/2 - c(c+1)/2 = 10-6=4; C. d(d+1)/2 - (c-1)c/2 = 10-3=7 --> OK; D. (d-1)d/2 - (c+1)(c+2)/2 = 6-10=-4; E. (d-1)d/2 - c(c+1)/2 = 6-6=0. Answer: C. The answer is: C

C

mathematics

If 5 men can dig a field in 20 days, how much time it will take 4 men to dig the same field?

[ "21", "22", "23", "24", "25" ]

E Less the number of men, more time it will take to dig the field (inversely proportion) 5 : 4 :: N : 20 N = 20 X 5 / 4 = 25 The answer is: E

E

mathematics

33 1/3% OF 210?

[ "70", "90", "110", "120", "130" ]

33 1/3 % = 1/3 1/3 × 210 = 70 A) The answer is: A

A

mathematics

The positive integers y and z leave remainders of 2 and 3, respectively, when divided by 6. y > z. What is the remainder when y– z is divided by 6?

[ "1", "2", "5", "3", "4" ]

Let's test out some values of p and q that satisfy the given information. y leaves are remainder of 2 when divided by 6 So, y COULD equal 8 z leaves are remainder of 3 when divided by 6 So, z COULD equal 3 What is the remainder when y – z is divided by 6? So, y - z = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5 Answer: C The answer is: C

C

mathematics

3+3.3+333+33.33=?

[ "362.33", "372.63", "702.33", "702", "None of them" ]

3 3.3 333 33.33 ---------- 372.63 ---------- Answer is B The answer is: B

B

mathematics

ZYXW’ as coded as ‘ABCD’ then ‘STUV’ is coded as

[ "YU", "YY", "U", "H", "W" ]

Here each letter is coded with its opposite letter. i.e. Z – A, Y – B, X – C, W – D. Similarly, S – H, T – G, U – F, V – E. Answer:D The answer is: D

D

mathematics

What is the area of a right angle triangle with base = 12 and height = 14 ?

[ "80", "81", "82", "83", "84" ]

Since the area of a right angle triangle is 1/2 * base * height Area = 1/2 * 12 * 14 = 84 Ans: E The answer is: E

E

mathematics

The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?

[ "2", "4", "6", "5", "7" ]

A + B + C = 48 B + C + D = 45 A + D = 13 A – D = 3 A + D = 13 2D = 10 D = 5 The answer is: D

D

mathematics

A and B go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?

[ "120 sec", "165 sec", "186 sec", "167 sec", "360 sec" ]

Time taken to meet for the first time at the starting point = LCM { length of the track / speed of A , length of the track / speed of B} = LCM {1800/ (36 * 5/18) , 1800/ (54 * 5 /18) } = LCM (180, 120) =360 sec. Answer:E The answer is: E

E

mathematics

Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?

[ "41", "66", "36", "70", "56" ]

8 shirts 9 pants we can combine 2 shirts with (9-3) pants 2*6=12 we can combine the other shirts (6) with any pants (9) 6*9=54 Thus total :12+54=66 ANS:B The answer is: B

B

mathematics

A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

[ "60", "8", "7", "12", "13" ]

x * 3/5 * 1/5 = 9 x = 75 => 7 + 5 = 12 ANSWER:D The answer is: D

D

mathematics

A researcher computed the mean, the median, and the standard deviation R for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?

[ "The mean only", "The median only", "The standard deviation only", "The mean and the median", "The mean and the standard deviation" ]

If we add or subtract a constant to each term in a set the standard deviation R will not change.. If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant. Answer: D. The answer is: D

D

mathematics

Lakshmi has $100 in her piggy bank. How much will she have in her bank 15 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?

[ "210", "220", "230", "240", "250" ]

The dollar deposits are in an A.P. 1,2,3,4...15with common difference 1 Sum of the terms is n(n+1) / 2 i.e 15* (15+1) /2 = 15* 16/2 = 120 Total deposit therefore with Chiu-Lihas is 100 + 120= 220$ The answer is: B

B

mathematics

In a simultaneous throw of pair of dice .find the probability of getting the total more than 7

[ "5/2", "4/7", "4/3", "5/12", "2/7" ]

Here n(S)=(6*6)=36 let E=event of getting a total more than 7 ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)} P(E)=n(E)/n(S)=15/36=5/12. Ans: D The answer is: D

D

mathematics

In a bag containing only blue, red and green marbles, all but 15 are blue, all but 13 are red and all but 12 are green. How many are red?

[ "13", "7", "25", "20", "10" ]

All but blue means number of marbles except blue..hence, let x be the red marble,y be the green marble,z be the blue marble... x+y=15 y+z=13 x+z=12 solving this eqns, we get x=7 y=8 z=5 hence number of red marbles are 7 ANSWER:B The answer is: B

B

mathematics

Speed of boat in still water is 9km/hr . if boat moves upstream A to B in 2 hrs. & B to A in 1 hrs. Then find distance between A&B

[ "10km", "11km", "12km", "13km", "14km" ]

Let speed of stream = s kmph distance be x for upstream (9-s)*2=x (speed*time=distance) for downstream (9+s)*1=x On solving we get x=12km ANSWER:C The answer is: C

C

mathematics

A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type.

[ "200, 400, 500", "300, 200, 600", "800, 400, 600", "400, 600, 800", "600, 700, 900" ]

Let the number of 50 p, 25 p and 20 p coins be 2x, 3x and 4x. Then 2x × 50/100 + 3x × 25/100 + 4x × 20/100 = 510 x/1 + 3x/4 + 4x/5 = 510 (20x + 15x + 16x)/20 = 510 ⇒ 51x/20 = 510 x = (510 × 20)/51 x = 200 2x = 2 × 200 = 400 3x = 3 × 200 = 600 4x = 4 × 200 = 800. Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively. Answer is D The answer is: D

D

mathematics

If x/6 and x/15 are integers, then x must be divisible by -

[ "12", "18", "30", "45", "60" ]

Factors of 6 2 and 3 factors of 15 are 3 and 5 So number is 2*3*5 = 30 ANSWER:C The answer is: C

C

mathematics

The average of numbers 0.44204, 0.44203, 0.44202 and 0.44201 is ?

[ "0.44202", "0.44204", "0.442022", "0.442025", "None" ]

Answer Average = (0.44204 + 0.44203 + 0.44202 + 0.44201)/ 4 =1.7681/ 4 =0.442025 Correct Option: D The answer is: D

D

mathematics

When two coins are tossed,Find the probability of getting all tails?

[ "1/3", "3/4", "1/8", "3/8", "1/4" ]

When two coins are tossed, S = {HH, HT, TH, TT} where H = Head and T = Tail Let E = event of getting all tails Then E = {TT} so, P(E) = n(E)/n(S) =1/4 The answer is: E

E

mathematics

A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is

[ "3.34", "3.36", "3.34", "6.32", "3.31" ]

Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2 = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) } = (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m.Answer:A The answer is: A

A

mathematics

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is $48. Then the sum is

[ "$600", "$1000", "$1200", "$1500", "$2000" ]

20% of (Year 1 Interest) = 20% of (20% of Principal) = 48 Principal = $1200 Answer (C) The answer is: C

C

mathematics

Aishwarya Rai walks into a bank to cash out her check. By mistake the bank teller gives her dollar amount in change, and her cent amount in dollars. On the way home she spends 5 cent, and then suddenly she notices that she has twice the amount of her check. How much was her check amount ?

[ "21.55", "25.89", "30.56", "31.55", "31.63" ]

E The check was for dollars 31.63. The bank teller gave her dollars 63.31 She spent .05, and then she had dollars 63.26, which is twice the check. Let x be the dollars of the check, and y be the cent. The check was for 100x + y cent He was given 100y + x cent Also 100y + x - 5 = 2(100x + y) Expanding this out and rearranging, we find: 98y = 199x + 5 or 199x ≡ -5 (mod 98) or 98*2*x + 3x ≡ -5 (mod 98) 3x ≡ -5 ≡ 93 (mod 98) this quickly leads to x = 31 The answer is: E

E

mathematics

A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?

[ "15 years", "11 years", "12 years", "18 years", "21 years" ]

100 ---- 200 ---- 7 400 ---- 7 800 ---- 7 ------ 21 years Answer: E The answer is: E

E

mathematics

If the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box?

[ "A - 56", "B - 57", "C - 58", "D - 59", "E - 60" ]

Let the number of black balls = x and the number of white balls = 6x Then, total number of balls in the box = x + 6x = 7x i.e., the total number of balls must be a multiple of 7 From the given choices, only 56 is the multiple of 7. Hence, 56 are the number of balls in the box. Answer is A. The answer is: A

A

mathematics

What is the number that should come in the place of question mark? 1050 420 168 67.2 ?

[ "29.88", "10.752", "4.3008", "26.88", "27.88" ]

1050/2.5 = 420 420/2.5 = 168 168/2.5 = 67.2 so 67.2/2.5 = 26.88 ANSWER:D The answer is: D

D

mathematics

Simplify 80âˆ’[5âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]

[ "23", "25", "89", "30", "32" ]

Explanation: =80âˆ’[5âˆ’(6+2(7âˆ’8+5))] (Please check due to overline, sign has been changed) =80âˆ’[5âˆ’(6+2Ã—4))] =80âˆ’[âˆ’9]=80+9=89 Option C The answer is: C

C