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	A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked atrandom, what is the probability that both are red?	[ "2/13", "1/14", "5/26", "3/31", "1/17" ]	P(Both are red), =6C213C2=6C213C2 =5/26 C The answer is: C	C
mathematics	A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent.	[ "1.05", "1.06", "1.01", "1.08", "1.09" ]	Explanation: (100 + g) / (100 + x) = True measure / Faulty measure x = 0 true measure = 1000 faulty measure = 990 100 + g / 100 + 0 = 1000 / 990 100+g = 100/99*100 g = 1.01 ANSWER: C The answer is: C	C
mathematics	Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?	[ "60", "88", "77", "65", "21" ]	Let the speed of the slower train be x m/sec. Then, speed of the train = 2x m/sec. Relative speed = ( x + 2x) = 3x m/sec. (100 + 100)/8 = 3x => x = 25/3. So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr. Answer: A The answer is: A	A
mathematics	A4C,B9D,C16E,D25F,E36G,?	[ "F49G", "H47J", "F49H", "H64I", "G49I" ]	A _ C = 2^2 B _ D = 3^2 C _ E = 4^2 D _ F = 5^2 E _ G = 6^2 2^2, 3^2 , 4^2 , 5^2 , 6^2 ---> As per this number sequence => next number = 7^2 = 49 F _ H = 49 => F49H ANSWER:C The answer is: C	C
mathematics	The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?	[ "17", "19", "16", "12", "14" ]	63 + 83 + 103 = a3 => a = 12 Answer:D The answer is: D	D
mathematics	If 2x=4y=z, what is x-y, in terms of z?	[ "z/4", "z/2", "z", "2z", "4z" ]	2x=4y=z i.e. x = z/2 and y = z/4 x-y = z/2 - z/4 = z/4 Answer: Option A The answer is: A	A
mathematics	If 25% of x is 20 less than 15% of 1500, then x is?	[ "872", "820", "837", "840", "83" ]	25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225 Given that, x/4 = 225 - 20 => x/4 = 205 => x = 820. Answer:B The answer is: B	B
mathematics	If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth?	[ "Rs.{(bx)/b}", "Rs.{(bx)/a}", "Rs.{(bx)/j}", "Rs.{(bx)/l}", "Rs.{(b*x)/as}" ]	Explanation: Cost of ‘a’ metres of cloth = Rs.x. Therefore, each metre of cloth costs Rs. (x/a). The cost of ‘b’ metres of cloth = Rs. b(x/a) = Rs. {(bx)/a} ANSWER:B The answer is: B	B
mathematics	A store sells 2 kinds of jelly beans mixes (A and B)both made up of red and yellow beans. if b contains 20% more red beans than A but 10% fewer yellow beans. and Jar A contains twice as many red beans as yellow by what percent is the number of beans in Jar B larger than the number in Jar A	[ "5", "6", "8", "9", "10" ]	A has 10 yellows 20 reds total=30 so B has 1.2 x 20 =24 reds 0.9 x 10 = 9 yellows total=33 difference= 3/30= 10% ANSWER:E The answer is: E	E
mathematics	In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be	[ "3 and 15", "3 and 20", "4 and 12", "4 and 14", "5 and 14" ]	Given: 15<x(x+1)<170. Now, it's better to test the answer choices here rather than to solve: If x=4 then x(x+1)=20>15 --> so, the least value is 4. Test for the largest value: if x=12 then x(x+1)=12*13=156>150 Answer: C. The answer is: C	C
mathematics	45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?	[ "10", "15", "13", "18", "19" ]	Let the required number of days be x. Less persons, More days (Indirect Proportion) More working hours per day, Less days (Indirect Proportion) Persons 30 : 45 :: 12 : x Working hours/day 6 : 5 30 x 6 x x = 45 x 5 x 12 x = (45 x 5 x 12)/(30 x 6) x = 15 ANSWER B The answer is: B	B
mathematics	On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 18 more transactions than Cal. How much transactions did Jade handled?	[ "80", "81", "82", "83", "84" ]	Solution: Mabel handled 90 transactions Anthony handled 10% more transactions than Mabel Anthony = 90 + 90 × 10% = 90 + 90 × 0.10 = 90 + 9 = 99 Cal handled 2/3rds of the transactions than Anthony handled Cal = 2/3 × 99 = 66 Jade handled 18 more transactions than Cal. Jade = 66 + 18 = 84 Jade handled = 84 transactions. Answer: E The answer is: E	E
mathematics	The greatest number by which the product of three consecutive multiples of 3 is always	[ "54", "81", "162", "243", "None of these" ]	Explanation: 369 = 162 Option C The answer is: C	C
mathematics	Number of ways in which the letters of word AMBI can be arranged with vowels in alphabetical order, is	[ "360", "240", "12", "480", "None of these" ]	Solution Order of vowels of fixed âˆ´ required number of ways are 4!/2!. Answer C The answer is: C	C
mathematics	Find the value of x which satisfies the relation Log10 3+log10 (4x+1)=log10 (x+1)+1	[ "2.5", "3.5", "3.2", "6.8", "9.8" ]	[log10a + log10b = log10 ab] and also 1 can be written as log10 10, so question can be rewritten as: log10 (3(4x+1))=log10(10(x+1)), this can be solved to get 12x+3=10x+10, that gives x=7/2=3.5 ANSWER:B The answer is: B	B
mathematics	fill in ht blank: (a) the point with ___ (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___	[ "(a) the point with line (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y", "(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x", "(a) the point with axis (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for x ; to find x- intercept , we let x equal 0 and solve for y", "(a) the point with xyz (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x", "none of the above" ]	(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x correct answer (B) The answer is: B	B
mathematics	What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?	[ "5", "100", "16", "20", "25" ]	The prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 10 'pieces' each, we have (10)(10) = 100 total smaller squares (at maximum). B The answer is: B	B
mathematics	A rectangular-shaped carpet that measures x feet by y feet is priced at $27. What is the cost of the carpet, in dollars per square yard? (1 square yard = 6 square feet)	[ "xy/297", "11xy/3", "3xy/11", "297/(xy)", "162/(xy)" ]	The area of the carpet in feet is xy. The area in square yards is xy / 6. The price per square yard is 27 / (xy/6) = 162/(xy). The answer is E. The answer is: E	E
mathematics	A train 600 m long can cross an over brdge of 100m long in 70 sec and then find the speed of the train?	[ "79", "30", "36", "66", "12" ]	Length = Speed * time Speed = L/T S = 700/70 S = 10 M/Sec Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5) Speed = 36Kmph.Answer:C The answer is: C	C
mathematics	The bankerâ€™s discount on Rs. 1600 at 5% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :	[ "2 months", "4 months", "6 months", "12 months", "None" ]	Sol. S.I. on Rs. 1600 = R.D. on Rs. 1680. âˆ´ Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is S.I. on Rs. 1600 at 15%. âˆ´ Time = [100 * 80 / 1600 * 5] year = 1year = 12 months. Answer D The answer is: D	D
mathematics	One night a certain hotel rented 3/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?	[ "50%", "55%", "60%", "65%", "70%" ]	The rooms which were not rented is 2/5 The AC rooms which were not rented is (1/3)*(3/5) = 1/5 The percentage of unrented rooms which were AC rooms is (1/5) / (2/5) = 1/2 = 50% The answer is A. The answer is: A	A
mathematics	Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is	[ "4:1", "4:2", "4:5", "6:3", "3:6" ]	Ratio of their speeds = Speed of first train : Speed of second train = √36−−√9 = 6:3 Answer is D. The answer is: D	D
mathematics	If abc ≠ 1 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =	[ "(1 + bc)/(b + c)", "(1 – bc)/(b + c)", "(1 + b + c)/(bc)", "(1 – b – c)/(bc)", "(1 – b – c)/(b + c)" ]	Answer is C though it took me around 4 minutes to get that. The answer is: C	C
mathematics	2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in meters.	[ "110", "111", "113", "112", "None of them" ]	Let the length of the wire be h meters. Then, ∏ (0.50/(2 x 100))^2 x h = 2.2/1000 =h = ( (2.2/1000) x (100 x 100)/(0.25 x 0.25) x (7/22) ) = 112 m. Answer is D. The answer is: D	D
mathematics	A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?	[ "1218", "1200", "1688", "6996", "2791" ]	l * 30 = 1200 è l = 40 40 + 30 + 50 = 120 120 * 10 = 1200 Answer: B The answer is: B	B
mathematics	The compound interest earned by Sunil on a certain amount at the end of two years at the rate of5% p.a. was Rs.246. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.	[ "Rs.2535", "Rs.2646", "Rs.2546", "Rs.2656", "Rs.2565" ]	Let the sum be Rs.P P{ [ 1 + 5/100]2 - 1 } = 246 P(5/100)(2 +5/100) = 246 [a2 - b2 = (a - b) ( a + b)] P = 246 / (0.05)(2.05) = 2400. Amount =Rs.2646 Answer :B The answer is: B	B
mathematics	The ratio of the present age of Sandy to that of Molly is 9:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?	[ "18", "21", "24", "27", "30" ]	Let the present age of Sandy be 9x years and that of Molly be 2x years. (9x + 8) / (2x + 8) = 5 / 2 8x = 24 x = 3 Six years ago, Sandy's age was 9(3) - 6 = 21 The answer is B. The answer is: B	B
mathematics	Find the slope of the line perpendicular to the line y = (1/6)x - 7	[ "1", "2", "-6", "4", "5" ]	Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 6. If m is the slope of the line perpendicular to the given line, then m × (1/6) = -1 Solve for m m = - 6 correct answer C) -6 The answer is: C	C
mathematics	The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 330 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?	[ "48", "66", "72", "80", "84" ]	Let x be the number of new boarders. The ratio changed from 5:12 up to 1:2 = 6:12. 330 / (330+x) = 5/6 x = 66 The answer is B. The answer is: B	B
mathematics	Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 8 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?	[ "30", "20", "18", "12", "6" ]	21-12 < no of hrs < 21-8 9< no of hrs < 13. D The answer is: D	D
mathematics	There are two groups of students in the sixth grade. There are 20 students in group A, and 80 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 15% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework?	[ "13%", "14%", "15%", "16%", "17%" ]	Number of students in group A = 20 students who forget homework in group A = 20 % of 20 = 4 students Number of students in group B = 80 students who forget homework in group B = 15 % of 80 = 12 students Total number of students = 20 + 80 = 100 students who forgot homework = 4 + 12 = 16 students percentage of students who forget homework = 16/100 * 100 = 16% Answer: D The answer is: D	D
mathematics	The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?	[ "288", "277", "342", "662", "262" ]	400(90/100)(95/100) = 342 Answer: C The answer is: C	C
mathematics	In an university college, the ratio of the number of boys and girls is 5 : 9. If the percentage increase in the number of boys and girls be 20% and 40% respectively. What will be the new ratio ?	[ "21 : 10", "12 : 17", "15 : 23", "10 : 21", "None of these" ]	Explanation : Solution: Originally, let the number of boys and girls in the university college be 5x and 9x respectively. Their increased number is (20% of 5x) : (40% of 9x) => (1205x/100) : (1409x/100) = 60x : 126x => x : y = 10 : 21. Answer : D The answer is: D	D
mathematics	If f(x) = 2x^2 + y, and f(2) = 20, what is the value of f(5)?	[ "104", "60", "62", "50", "25" ]	f(x) = 2x^2 + y f(2) = 20 => 2(2)^2 + y = 20 => 8 + y = 20 => y = 12 f(5)= 2(5)^2 + 12 = 62 Answer C The answer is: C	C
mathematics	31, 29, 24, 22, 17, ?	[ "15", "23", "13", "25", "28" ]	This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 .... Answer : A. The answer is: A	A
mathematics	The Lulu mall in city charges 80 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If David parked his bike in the mall for 7 hours and 30 minutes, how much is he going to pay?	[ "$36.6", "$12.", "$13.", "$14.5.", "$15." ]	0.80+55+25+0.80= $36.6 Answer: $36.6 The answer is: A	A
mathematics	The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?	[ "18750 sq.m", "37500 sq.m", "40000 sq.m", "48000 sq.m", "None of these" ]	Solution So length =250 m; breadth=150m Area = (250 x 150)m² = 37500 m² Answer B The answer is: B	B
mathematics	The units digit of (35)^(87) + (3)^(45) is:	[ "2", "8", "6", "9", "0" ]	any power of anything ending in 5 always has a units digit of 5. So the first term has a units digit of 5. 2nd part 3^45 has a units digit of 3 Therefore, the second term has a units digit of 3. Of course 5 + 3 = 8, so something with a units digit of 5 plus something with a units digit of 3 Answer = B The answer is: B	B
mathematics	Convert 350 inches into centimeter?	[ "812cm", "820cm", "850cm", "889cm", "854cm" ]	1 inch = 2.54cm 350 inches = 100*2.54 = 889cm Answer is D The answer is: D	D
mathematics	In a bag, there are 4 white, 1 brown and 5 red pens. One pen is picked up randomly. What is the probability that it is neither white nor red?	[ "1/5", "1/10", "1/2", "1/3", "1/4" ]	Explanation : Neither white nor red means the pen drawn is brown. Total number of outcomes = (4+1+5) = 10. Number of Favourable outcomes = 1 = Number of brown pens. Hence, Probability of the event = 1/10. Answer : B The answer is: B	B
mathematics	The square root of (7 + 3âˆš5) (7 - 3âˆš5) is	[ "âˆš5", "2", "4", "3âˆš5", "5" ]	Explanation: âˆš(7 + 3âˆš5)(7 - 3âˆš5) = âˆš(7)2 - (3âˆš5)2 = âˆš49 - 45 = âˆš4 = 2. ANSWER IS B The answer is: B	B
mathematics	Of 70 players on a football team, 34 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?	[ "54", "58", "63", "71", "92" ]	Total = 70 Thrower = 34 Rest = 70 - 34 = 36 Left Handed = 36/3 = 12 Right handed = 24 If all Thrower are right handed then total right handed is 34 + 24 = 58 so B. 58 is the right answer The answer is: B	B
mathematics	Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 42 percent were employees, what percent were stockholders who were not employees?	[ "34%", "58%", "45%", "53%", "62%" ]	Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M were stockholders and 42% of M or 0.42M were employees, it follows that 0.62M + 0.42M = 1.04M were either stockholders, employees, or both. Since 1.04M exceeds M, the excess 1.04M − M = 0.04M must be the number of attendees who were both stockholders and employees, leaving the rest 0.62M − 0.04M = 0.58M, or 58%, of the meeting attendees to be stockholders but not employees. The correct answer is B. The answer is: B	B
mathematics	A certain party consists of four different group of people 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?	[ "2191", "2200", "2291", "2391", "2491" ]	Let S be the amount spent for all students Let P be the amount spent for all politicians Let A be the amount spent for all actors and Let L be the amount spent for all leaders. given that 6 students spent as much as 7 politicians i.e Amount spent per student x 6 = Amount spent per politician x 7 Or (Total amount spent on students / Total Students) x 6 = (Total amount spent on politicians / Total politicians)x 7 Or., (S/30)x 6 = (P/35)x7 => S/5 = P/5 => S = P ..... eqn 1 15 politicians spent as much as 12 actors : Therefore, (P/35)x15 = (A/20)x12 => 3P/7 = 3A/5 => 5P = 7P => 5S = 7A (since S = P) => A = 5S/7 ........eqn2 and 10 actors spent as much as 9 leaders : Therefore, (A/20)x10 = (L/27)x9 => 3A = 2L => A = 2L/3 => 5S/7 = 2L/3 (since A=5S/7) => L = 15S/14 ......eqn3 the total amount spent for the party is Rs.9000 i.e., S+P+A+L = 9000 from eqn1, eqn2, eqn3 we have S + S + 5S/7 + 15S/14 = 9000 53S/14 = 9000 s=9000*14 / 53 s=2290.90 ~ 2291 Hence the answer is Rs.2291 ANSWER:C The answer is: C	C
mathematics	If the sum of 1/3 and 22/99 is converted to a decimal, what is the 3000th digit to the right of the decimal place?	[ "2", "3", "5", "8", "9" ]	1/3 +22/99 = 5/9=0.555555555... hence, the 3000th digit would also be 5 Ans: C The answer is: C	C
mathematics	If a real number x is chosen at random in the interval [0,3] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y?	[ "23/30", "7/12", "11/15", "7/10", "3/4" ]	Since x is in [0,3] and y is in [0,5] we can draw a rectangle in the coordinate plane with vertices (0, 0), (3, 0), (0, 5), and (3, 5). The points above the line y=x satisfy x < y. The part of the rectangle below y=x has an area of 4.5. The whole rectangle has an area of 15. P(x < y) = (15-4.5)/15 = 21/30 = 7/10 The answer is D. The answer is: D	D
mathematics	ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?	[ "1:5", "625:3125", "100:105", "100^4:105^4", "725:3225" ]	Hi Bunuel, Here is my approach: is this correct? ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. Interest earned in 4 year= 10000(1+0.05)^4 Interest earned in 5 year= 10000(1+0.05)^5 Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105 Hence Ans:C The answer is: C	C
mathematics	9000 + 16 2/3 % of ? = 10500	[ "2387", "2888", "9000", "2837", "2271" ]	Explanation: 9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500 50/(3 * 100) of ? = 1500 => ? = 1500 * 6 ? = 9000 Answer: C The answer is: C	C
mathematics	Rectangular tile each of size 45cm by 50cm must be laid horizontally on a rectangular floor of size 250cm by 180cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:	[ "35", "40", "25", "18", "20" ]	Area of tile = 4550 = 2250 Area of floor = 250180 = 45000 No of tiles = 45000/2250 = 20 So, the no of tile =20 ANSWER:E The answer is: E	E
mathematics	Ross has 80 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.	[ "12 ; 20.", "12 ; 19.", "12 ; 18.", "12 ; 17.", "12 ; 16." ]	Total shirts = 80 Green shirts = 3/480 = 60, Non green shirts = 20 Shirts without button = 1/1080 = 8, shirts with button = 72 Required: Range of shirts with buttons that are not green. Maximum non green shirts with buttons = number of non green shirts = 20 Minimum non green shirts with buttons (All without button shirts are non green) = Non green shirts - shirts without button = 20 - 8 = 12 Hence the range would be (12, 20) Correct Option: A The answer is: A	A
mathematics	In the Hillside summer camp there are 60 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?	[ "50.", "45.", "40.", "60.", "25." ]	Given there are 60 students , 90% of 60 = 54 boys and remaining 6 girls. Now here 90% are Boys and 10% are Girls. Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%.. If we add 60 to existing 54 then the count will be 114and the girls number will be 6 as it. Now boys are 95% and girls are 5%. ( out of 120 students = 114 boys + 6 girls ). IMO option D is correct. The answer is: D	D
mathematics	Today is Saturday. After 72 days, it will be:	[ "Sunday", "Saturday", "Monday", "Thursday", "Wednesday" ]	Each day of the week is repeated after 7 days. So, after 70 days, it will be Saturday. After 72 days, it will be Monday. Answer :C The answer is: C	C
mathematics	Find the value of 72515 x 9999 = m?	[ "456578972", "725077485", "653658791", "725117481", "357889964" ]	72515 x 9999 = 72515 x (10000 - 1) = 72515 x 10000 - 72515 x 1 = 725150000 - 72515 = 725077485 B The answer is: B	B
mathematics	A box contains 5 green balls, 4 red balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?	[ "2/3", "1/4", "3/5", "1/2", "2/5" ]	Total number of balls = 4+5+6 = 15 n(s)=15 E1 = event of drawing a red ball = 4/15 E2 = event of drawing a green ball = 5/15 P(E1)+P(E2) = (4/15)+(5/15) = 9/15 = 3/5 Answer is C The answer is: C	C
mathematics	On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $80,000?	[ "15", "16", "18", "20", "24" ]	x- interest rate 80.000= 10.000 (1+x)^year => 8=(1+x)^year 40.000=10.000 . (1+x)^12 => 4= (1+x)^12 =>2= (1+x)^6 => 8 = (1+x)^ 18 So, after 18 years, the total value of the investment plus interest will increase to $80,000. ANSWER:C The answer is: C	C
mathematics	There are two numbers. If 70% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?	[ "5/9", "5/7", "5/3", "5/8", "5/14" ]	Let the two numbers be x and y. 70/100 * x + y = 5/4y => 7/10 x = 1/4 y => x/y = 5/14 Answer: E The answer is: E	E
mathematics	Solution Y is 30 percent liquid X and 70 percent water. If 4 kilograms of water evaporate from 8 kilograms of solution Y and 4 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?	[ "40%", "41 1/2%", "44%", "45%", "46%" ]	In 8 kilograms of solution Y there are 0.38=2.4 kilograms of solution X; After 4 kilograms of water are replaced by 4 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.34=1.2 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+1.2=3.6 kilograms of solution X, which is 3.6/8*100=45% of this new solution. Answer: D. The answer is: D	D
mathematics	A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?	[ "$1.10", "$8.80", "$11.00", "$57.30", "$78.10" ]	Let price be $ 10 The store owner decided to raise the price of a particular item by exactly 10%, so the new price must be 110 *10 /100 =>11 So, The new price must be a multiple of 11 From the given options check for all the multiples of 11 Test of divisibility of 11 is if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11. A. $1.10 B. $8.80 C. $11.00 By a quick glance even a 2nd grader can eliminate options A,B and C , because they are all divisible by 11 , let with only 2 options check for the divisibility rule for options D and E D. $57.30 Sum of even digits is 5+3 = 8 Sum of odd digits is 7 +0 = 7 Difference of the even and odd digits is 8 - 7 = 1 ; not divisible by 11 Hence this is our answer. E. $78.10 Further inspection is not required since we have already found out the answer at (D) The answer is: D	D
mathematics	8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work?	[ "5 days", "15 days", "28 days", "6 days", "7 days" ]	Explanation: 1 man’s 1 day’s work = 1/8 × 12 = 1/96 10 men’s 1 day’s work = 1 × 10/96 = 5/48 1 woman’s 1 day’s work = 1/192 4 women’s 1 day’s work = 1/192 × 4 = 1/48 1 child’s 1 day’s work = 1/240 18 children’s 1 day’s work = 3/40 Therefore, (10 men + 4 women + 18 children)’s 1 day’s work = 5/48 + 1/48 + 3/40 = 1/5 The required No. of days = 5 days Answer: Option A The answer is: A	A
mathematics	Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $250 per month per customer. If the company’s average revenue per customer per month is $200, then what percent of the company's revenue comes from customers with Plan A?	[ "10.7%", "30%", "37.5%", "56.25%", "75%" ]	If there are A customers with plan A, and B customers with plan B, then the total revenue is $75A + $250B. Since the average customer pays $100, we know that $200 = ($75A + $250B) / (A + B) $200(A + B) = ($75A + $250B) $200A + $200B = $75A + $250B $125A = $50B A = 2/5B. Since there are 2/5 times as many $75 clients as $250 clients, for every $250 received from Plan B customers, 2/5($75) = $30 is received from Plan A customers, and the percent of revenue from customers with Plan A is: $30/($30 + $250) = $30/$280 = 10.7%. The correct answer is choice (A). The answer is: A	A
mathematics	The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:	[ "4cm", "6cm", "8cm", "10cm", "9cm" ]	Explanation: Curved surface area of sphere =4/πr2Surface area of cylinder =2πrh =>4/πr2=2πrh =>r2=6∗12/2 =>r2=36 =>r=6 Note: Diameter of cylinder is 12 so radius is taken as 6. Option B The answer is: B	B
mathematics	A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?	[ "600", "288", "2768", "287", "191" ]	S.I for 5 years = (1020 - 720) = Rs. 300. S.I. for 2 years = 300/5 * 2 = Rs. 120. Principal = (720 - 120) = Rs. 600. Answer: A The answer is: A	A
mathematics	There are 7 people and 7 chairs. In how many different ways people can occupy the chairs?	[ "5040", "4500", "3400", "6766", "120" ]	number of ways =7! = 5040 Answer is A The answer is: A	A
mathematics	The following list follows a peculiar pattern. Can you find it out and guess the next number? 2, 12, 36, 80, 150, 252, ?	[ "383", "321", "392", "651", "823" ]	C The next number is 392. The first number = (Square of 1 + Cube of 1) The second number = (Square of 2 + Cube of 2) The third number = (Square of 3 + Cube of 3) The fourth number = (Square of 4 + Cube of 4) The fifth number = (Square of 5 + Cube of 5) The sixth number = (Square of 6 + Cube of 6) Therefore, the seventh number will be Square of 7 + Cube of 7 = 392. The answer is: C	C
mathematics	The 80-milliliter solution of sugar and water is 25% sugar. How much water (in milliliters) must be added to make a solution that is 5% sugar?	[ "300", "320", "340", "360", "380" ]	In the original solution the amount of sugar is 0.25*80=20 ml. Let the volume of the new solution be V. 0.05V=20 ml. V=400 ml. The amount of water we need to add is 400 - 80 = 320 ml. The answer is B. The answer is: B	B
mathematics	What percent is 5 gm of 1 kg?	[ "1.5 %", "0.5 %", "2.5 %", "3.5 %", "4 %" ]	1 kg = 1000 gm 5/1000 × 100 = 500/1000 =1/2 = 0.5 % B) The answer is: B	B
mathematics	A trumpet section includes seven musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?	[ "240", "125", "5040", "100", "25" ]	We have a word problem using permutations. We must identify the number of total items in the group. There are seven possible musicians who could be placed in the first chair, six possible musicians for the second, five for the third, four for the fourth, and three for the fifth, and two for the sixth and one for the seventh. To determine the number of possible orderings, we multiply these numbers, which we can express as 7!. Now 7! = (7)(6)(5)(4)(3)(2)(1) = 5040=C The answer is: C	C
mathematics	If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?	[ "20%", "2/8%", "2/1%", "1/3%", "2/7%" ]	Let the price of the article be Rs. 100. 25% of 100 = 25. New price = 100 + 25 = Rs. 125 Required percentage = (125 - 100)/125 * 100 = 25/125 * 100= 20%. Answer:A The answer is: A	A
mathematics	if p is a positive integer greater than 8, which of the following must be divisible by 4?	[ "p(p-1)(p+2)(p+3)", "p(p-1)(p+3)(p+4)", "p(p-3)(p+2)(p+4)", "p(p-3)(p+2)(p+3)", "p(p+1)(p+3)(p+4)" ]	D. For any integer p, D is the only answer choice which will always be divisible by 4. A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isp* [(p-1)OR(p+3)] * [(p-2)OR(p+2)] * [(p-3)OR(p+1)]. (answer D) The answer is: D	D
mathematics	If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 20 percent, how much would she earn per week?	[ "$420", "$382", "$385", "$392", "$399" ]	(406/116)120 =420 In this case long division does not take much time. (406/116)=3.5 35*12=420(350+70) Answer A The answer is: A	A
mathematics	The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?	[ "Rs. 600", "Rs. 500", "Rs. 400", "Rs. 300", "None of these" ]	Explanation : T = 2 years R = 10% TD = (BG ×100)/TR = (24 × 100)/(2×10) = 12 × 10 = Rs. 120 TD = (PW × TR)/100 ⇒ 120 = (PW × 2 × 10)/100 ⇒ 1200 = PW × 2 PW =1200/2 = Rs. 600 Answer : Option A The answer is: A	A
mathematics	In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $700 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $2,100 higher that M, then what percentage of apartments in the building are two-bedroom apartments?	[ "25%", "15%", "20%", "40%", "45%" ]	Ratio of 2 Bedroom Apartment: 1 Bedroom Apartment = 700 : 2100 -----> 1 : 3 Let total number of Apartments be X No. of 2 Bedroom Apartment = (1 / 4) * X percentage of apartments in the building are two-bedroom apartments ----> (1/4) * 100 ---> 25% Answer : A The answer is: A	A
mathematics	A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	[ "400", "540", "500", "520", "589" ]	Speed = 78 * 5/18 = 65/3 m/sec. Time = 1 min = 60 sec. Let the length of the train be x meters. Then, (900 + x)/60 = 65/3 x = 400 m. Answer: Option A The answer is: A	A
mathematics	A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?	[ "2/5", "3/5", "3/10", "7/20", "11/20" ]	1/2 of the small beaker is 1/10 of the large beaker. 1/10 + 1/2 = 3/5 The answer is B. The answer is: B	B
mathematics	The least number which should be added to 1800 so that the sum is exactly divisible by 5,6,4 and 3 is :	[ "3", "13", "23", "30", "43" ]	Solution L.C.M. of 5,6,4 and 3 = 60. on dividing 1800 by 60, the remainder is 30. ∴ Number to be added = (60-30) = 30. Answer D The answer is: D	D
mathematics	How many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards? (1 mile = 1,160 yards)	[ "1.25", "1.31", "1.58", "1.87", "2.3" ]	speed = 120 miles/hr = 58.67 yard/s distance = 77 yards time = distance/speed =77/58.67 =1.31 sec ans - B The answer is: B	B
mathematics	A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?	[ "76 sec", "89 sec", "16 sec", "14 sec", "19 sec" ]	Speed = 240/24 = 10 m/sec. Required time = (240 + 650)/10 = 89 sec. Answer:B The answer is: B	B
mathematics	Joe invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 3 years and to $500 at the end of another 5 years. What was the rate of interest in which he invested his sum?	[ "4.76%", "5.88%", "6.33%", "7.75%", "8.33%" ]	In 5 years, the value grew $100, so the simple interest was $20 per year. In 3 years, the total interest was 3*$20 = $60 The principal is $400 - $60 = 340. The interest rate is $20/$340 = 1/17 which is about 5.88% The answer is B. The answer is: B	B
mathematics	What is the remainder when 103 * 505 * 607 is divided by 9	[ "6", "18", "2", "4", "7" ]	103/9==> Remainder=4 505/9==> Remainder=1 607/9==> Remainder=4 =441=16/9==> Remainder=7 Answer: E The answer is: E	E
mathematics	The ratio of cats to dogs to birds to fish is 8:9:10:11. There are no other types of animals in the pet store. which of the followingcannotbe the total number of animals in the store?	[ "76", "114", "152", "190", "345" ]	The parts add up to 8 + 9 + 10 + 11 = 38, so we know that any possible number of total answers must be a multiple of 38. All five answer choices are multiples of 38: (A) 76= 382 (B) 114= 383 (C) 152= 384 (D) 190= 385 (E) 345= not a multiple of 38 The answer is: E	E
mathematics	After allowing a discount of 15% on the marked price, the selling price is $6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?	[ "$5400", "$5750", "$5000", "$7000", "$2000" ]	C $5000 Given SP = $6800 Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = $8000 If SP = $8000, profit = 60% CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = $5000 The answer is: C	C
mathematics	If \|4x+6\| = 50, what is the sum of all the possible values of x?	[ "2", "-2", "4", "-3", "6" ]	There will be two cases 4x+6= 50 or 4x+6 = -50 => x =11 or x= -14 sum of both the values will be -14 +11 = -3 Answer is D The answer is: D	D
mathematics	Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together?	[ "44", "31", "15", "16", "17" ]	L.C.M of 1,2,3,4,5,6 is 180. i.e after each 1 min they will toll together.So in 30 min they will toll 30 times.As they have initially tolled once,The answer will be 30+1=31. ANSWER:B The answer is: B	B
mathematics	A batsman makes a score of 80 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.	[ "40", "50", "62", "30", "56" ]	Let the average after 11th inning = x Then, average after 10th inning = x-5 10(x-5)+80 = 11x x = 80-50 = 30 Answer is D The answer is: D	D
mathematics	Find the odd man out 1, 2, 5, 14, 41, 124	[ "2", "14", "124", "41", "21" ]	13-1 =2 23-1 = 5 53-1 = 14 143-1 = 41 41*3 -1 = 122 ANSWER:C The answer is: C	C
mathematics	The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 588 feet squared, what is the difference between the length and the width of the roof?	[ "28.", "40.", "42.", "44.", "46." ]	Answer is A: 28 Let w be the width , so length is 3w. Therefore : w3w = 588, solving for, w = 14 , so 3w-w = 2w = 214 = 28 The answer is: A	A
mathematics	f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater?	[ "f(x)", "g(x)", "h(x)", "both", "none" ]	let x=100 then g(x)=100^10=10^20 h(x)=10^100 so h(x) is greater ANSWER:C The answer is: C	C
mathematics	A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is	[ "300", "400", "600", "500", "None of these" ]	Explanation : By the rule of alligation,we have Profit% by selling 1st part Profit% by selling 2nd part 8 18 Net % profit 14 18-14=4 14-8=6 => Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3 Total quantity is given as 1000Kg So Quantity of part2 (Quantity sold at 18% profit) = 1000×35=600Kg Answer : Option C The answer is: C	C
mathematics	33 1/3% OF 390?	[ "80", "90", "110", "120", "130" ]	33 1/3 % = 1/3 1/3 × 390 = 130 E) The answer is: E	E
mathematics	Mr. Hernandez, who was a resident of State X for only 9 months last year, had a taxable income of $42,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?	[ "$900", "$1275", "$1200", "$1300", "$1060" ]	Total tax for the year = 42,500 x 4% = 1700 As stated Annual tax is prorated as per the duration of stay. Prorated Tax = 1700 (9/12) = 1275 Answer B The answer is: B	B
mathematics	The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?	[ "7:3", "3:7", "4:8", "8:4", "2:3" ]	Let age of the son before 10 years =x and age of the father before 10 years =3x (3x+20)=2(x+20)⇒x=20 Age of the son at present =x+10=20+10=30 Age of the father at present =3x+10=3×20+10=70 Required ratio =70:30=7:3 Answer is A. The answer is: A	A
mathematics	A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was:	[ "Rs. 3,750", "Rs. 3,250", "Rs. 2,750", "Rs. 2,250", "None" ]	Solution: Let the original CP = Rs. X. Hence, SP= X + 15% of X = 115X/100 = Rs. 23X/20. New, CP = X - 25% of X = 75X/100 = 3X/4. New SP = 3X/4 + 32% of 3X/4 = Rs. 99X/100. According to the question, (23x/20)-(99x/100)= 600 Or, (115x-99x)/100 = 600 16x = 600100 X = 600100/16 = Rs. 3750. Answer: Option A The answer is: A	A
mathematics	The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:	[ "306", "308", "310", "311", "315" ]	LCM X HCF = First No. X Second No. LCM=7700 HCF=11 First No.=275 7700 X 11 = 275 X Second No. Second No.= 308 answer :B The answer is: B	B
mathematics	Which of the following numbers is between 2⁄5 and 1⁄4?	[ ".45", ".35", ".23", ".22", ".20" ]	Isn't it B? 2/5 = .40 1/4 = .25 The only answer between that is B, .35. The answer is: B	B
mathematics	A part-time employee’s hourly wage was increased by 40%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?	[ "9%", "15%", "29%", "50%", "100%" ]	Let's plug in somenicenumbers and see what's needed. Let's say the employee used to make $1/hour and worked 100 hours/week So, the TOTAL weekly income was $100/week After the 40% wage increase, the employee makes $1.40/hour We want the employee's income to remain at $100/week. So, we want ($1.40/hour)(new # of hours) = $100 Divide both sides by 1.40 to get: new # of hours = 100/1.40 ≈ 71 hours So, the number of hours decreases from 100 hours to (approximately) 71 hours. This represents a 29% decrease (approximately) . Answer : C The answer is: C	C
mathematics	In an exam, Amar scored 49 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?	[ "344", "826", "207", "269", "208" ]	Average mark scored by all the three boys = [49/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 344 Answer: A The answer is: A	A
mathematics	The number 0.127 is how much greater than 1/8 ?	[ "1/100", "1/1500", "1/2", "1/500", "1/600" ]	Explanation: 0.127 expressed as a fraction = 127/1000 1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000 The difference is 2/1000, which is 1/500 ANSWER IS D The answer is: D	D
mathematics	A discount dealer professes to sell his goods at cost price but uses a weight of 960 gms for a Kg weight .Find his gain %?	[ "25%", "6%", "6/25%", "25/6%", "42%" ]	Gain%=[(error100)/(true value-error)]% =[(40100)/1000-40)]%=25/6% ANSWER D 25/6% The answer is: D	D
mathematics	A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?	[ "11", "33", "77", "88", "11" ]	750 --- 250 100 --- ? => 33% Answer:B The answer is: B	B
mathematics	Fill in the missing number: 18 14 12 11 10.5 ?	[ "10.1", "10.4", "10.2", "10.25", "10.3" ]	D 10.25 Divide each number by 2 and then add 5 to it. The answer is: D	D

mathematics

A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked atrandom, what is the probability that both are red?

[ "2/13", "1/14", "5/26", "3/31", "1/17" ]

P(Both are red), =6C213C2=6C213C2 =5/26 C The answer is: C

C

mathematics

A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent.

[ "1.05", "1.06", "1.01", "1.08", "1.09" ]

Explanation: (100 + g) / (100 + x) = True measure / Faulty measure x = 0 true measure = 1000 faulty measure = 990 100 + g / 100 + 0 = 1000 / 990 100+g = 100/99*100 g = 1.01 ANSWER: C The answer is: C

C

mathematics

Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?

[ "60", "88", "77", "65", "21" ]

Let the speed of the slower train be x m/sec. Then, speed of the train = 2x m/sec. Relative speed = ( x + 2x) = 3x m/sec. (100 + 100)/8 = 3x => x = 25/3. So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr. Answer: A The answer is: A

A

mathematics

A4C,B9D,C16E,D25F,E36G,?

[ "F49G", "H47J", "F49H", "H64I", "G49I" ]

A _ C = 2^2 B _ D = 3^2 C _ E = 4^2 D _ F = 5^2 E _ G = 6^2 2^2, 3^2 , 4^2 , 5^2 , 6^2 ---> As per this number sequence => next number = 7^2 = 49 F _ H = 49 => F49H ANSWER:C The answer is: C

C

mathematics

The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?

[ "17", "19", "16", "12", "14" ]

63 + 83 + 103 = a3 => a = 12 Answer:D The answer is: D

D

mathematics

If 2x=4y=z, what is x-y, in terms of z?

[ "z/4", "z/2", "z", "2z", "4z" ]

2x=4y=z i.e. x = z/2 and y = z/4 x-y = z/2 - z/4 = z/4 Answer: Option A The answer is: A

A

mathematics

If 25% of x is 20 less than 15% of 1500, then x is?

[ "872", "820", "837", "840", "83" ]

25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225 Given that, x/4 = 225 - 20 => x/4 = 205 => x = 820. Answer:B The answer is: B

B

mathematics

If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth?

[ "Rs.{(b*x)/b}", "Rs.{(b*x)/a}", "Rs.{(b*x)/j}", "Rs.{(b*x)/l}", "Rs.{(b*x)/as}" ]

Explanation: Cost of ‘a’ metres of cloth = Rs.x. Therefore, each metre of cloth costs Rs. (x/a). The cost of ‘b’ metres of cloth = Rs. b*(x/a) = Rs. {(b*x)/a} ANSWER:B The answer is: B

B

mathematics

A store sells 2 kinds of jelly beans mixes (A and B)both made up of red and yellow beans. if b contains 20% more red beans than A but 10% fewer yellow beans. and Jar A contains twice as many red beans as yellow by what percent is the number of beans in Jar B larger than the number in Jar A

[ "5", "6", "8", "9", "10" ]

A has 10 yellows 20 reds total=30 so B has 1.2 x 20 =24 reds 0.9 x 10 = 9 yellows total=33 difference= 3/30= 10% ANSWER:E The answer is: E

E

mathematics

In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be

[ "3 and 15", "3 and 20", "4 and 12", "4 and 14", "5 and 14" ]

Given: 15<x(x+1)<170. Now, it's better to test the answer choices here rather than to solve: If x=4 then x(x+1)=20>15 --> so, the least value is 4. Test for the largest value: if x=12 then x(x+1)=12*13=156>150 Answer: C. The answer is: C

C

mathematics

45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

[ "10", "15", "13", "18", "19" ]

Let the required number of days be x. Less persons, More days (Indirect Proportion) More working hours per day, Less days (Indirect Proportion) Persons 30 : 45 :: 12 : x Working hours/day 6 : 5 30 x 6 x x = 45 x 5 x 12 x = (45 x 5 x 12)/(30 x 6) x = 15 ANSWER B The answer is: B

B

mathematics

On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 18 more transactions than Cal. How much transactions did Jade handled?

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

Solution: Mabel handled 90 transactions Anthony handled 10% more transactions than Mabel Anthony = 90 + 90 × 10% = 90 + 90 × 0.10 = 90 + 9 = 99 Cal handled 2/3rds of the transactions than Anthony handled Cal = 2/3 × 99 = 66 Jade handled 18 more transactions than Cal. Jade = 66 + 18 = 84 Jade handled = 84 transactions. Answer: E The answer is: E

E

mathematics

The greatest number by which the product of three consecutive multiples of 3 is always

[ "54", "81", "162", "243", "None of these" ]

Explanation: 3*6*9 = 162 Option C The answer is: C

C

mathematics

Number of ways in which the letters of word AMBI can be arranged with vowels in alphabetical order, is

[ "360", "240", "12", "480", "None of these" ]

Solution Order of vowels of fixed âˆ´ required number of ways are 4!/2!. Answer C The answer is: C

C

mathematics

Find the value of x which satisfies the relation Log10 3+log10 (4x+1)=log10 (x+1)+1

[ "2.5", "3.5", "3.2", "6.8", "9.8" ]

[log10a + log10b = log10 ab] and also 1 can be written as log10 10, so question can be rewritten as: log10 (3(4x+1))=log10(10(x+1)), this can be solved to get 12x+3=10x+10, that gives x=7/2=3.5 ANSWER:B The answer is: B

B

mathematics

fill in ht blank: (a) the point with ___ (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___

[ "(a) the point with line (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y", "(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x", "(a) the point with axis (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for x ; to find x- intercept , we let x equal 0 and solve for y", "(a) the point with xyz (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x", "none of the above" ]

(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x correct answer (B) The answer is: B

B

mathematics

What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?

[ "5", "100", "16", "20", "25" ]

The prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 10 'pieces' each, we have (10)(10) = 100 total smaller squares (at maximum). B The answer is: B

B

mathematics

A rectangular-shaped carpet that measures x feet by y feet is priced at $27. What is the cost of the carpet, in dollars per square yard? (1 square yard = 6 square feet)

[ "xy/297", "11xy/3", "3xy/11", "297/(xy)", "162/(xy)" ]

The area of the carpet in feet is xy. The area in square yards is xy / 6. The price per square yard is 27 / (xy/6) = 162/(xy). The answer is E. The answer is: E

E

mathematics

A train 600 m long can cross an over brdge of 100m long in 70 sec and then find the speed of the train?

[ "79", "30", "36", "66", "12" ]

Length = Speed * time Speed = L/T S = 700/70 S = 10 M/Sec Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5) Speed = 36Kmph.Answer:C The answer is: C

C

mathematics

The bankerâ€™s discount on Rs. 1600 at 5% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :

[ "2 months", "4 months", "6 months", "12 months", "None" ]

Sol. S.I. on Rs. 1600 = R.D. on Rs. 1680. âˆ´ Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is S.I. on Rs. 1600 at 15%. âˆ´ Time = [100 * 80 / 1600 * 5] year = 1year = 12 months. Answer D The answer is: D

D

mathematics

One night a certain hotel rented 3/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?

[ "50%", "55%", "60%", "65%", "70%" ]

The rooms which were not rented is 2/5 The AC rooms which were not rented is (1/3)*(3/5) = 1/5 The percentage of unrented rooms which were AC rooms is (1/5) / (2/5) = 1/2 = 50% The answer is A. The answer is: A

A

mathematics

Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is

[ "4:1", "4:2", "4:5", "6:3", "3:6" ]

Ratio of their speeds = Speed of first train : Speed of second train = √36−−√9 = 6:3 Answer is D. The answer is: D

D

mathematics

If abc ≠ 1 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =

[ "(1 + bc)/(b + c)", "(1 – bc)/(b + c)", "(1 + b + c)/(bc)", "(1 – b – c)/(bc)", "(1 – b – c)/(b + c)" ]

Answer is C though it took me around 4 minutes to get that. The answer is: C

C

mathematics

2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in meters.

[ "110", "111", "113", "112", "None of them" ]

Let the length of the wire be h meters. Then, ∏ (0.50/(2 x 100))^2 x h = 2.2/1000 =h = ( (2.2/1000) x (100 x 100)/(0.25 x 0.25) x (7/22) ) = 112 m. Answer is D. The answer is: D

D

mathematics

A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?

[ "1218", "1200", "1688", "6996", "2791" ]

l * 30 = 1200 è l = 40 40 + 30 + 50 = 120 120 * 10 = 1200 Answer: B The answer is: B

B

mathematics

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of5% p.a. was Rs.246. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.

[ "Rs.2535", "Rs.2646", "Rs.2546", "Rs.2656", "Rs.2565" ]

Let the sum be Rs.P P{ [ 1 + 5/100]2 - 1 } = 246 P(5/100)(2 +5/100) = 246 [a2 - b2 = (a - b) ( a + b)] P = 246 / (0.05)(2.05) = 2400. Amount =Rs.2646 Answer :B The answer is: B

B

mathematics

The ratio of the present age of Sandy to that of Molly is 9:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?

[ "18", "21", "24", "27", "30" ]

Let the present age of Sandy be 9x years and that of Molly be 2x years. (9x + 8) / (2x + 8) = 5 / 2 8x = 24 x = 3 Six years ago, Sandy's age was 9(3) - 6 = 21 The answer is B. The answer is: B

B

mathematics

Find the slope of the line perpendicular to the line y = (1/6)x - 7

[ "1", "2", "-6", "4", "5" ]

Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 6. If m is the slope of the line perpendicular to the given line, then m × (1/6) = -1 Solve for m m = - 6 correct answer C) -6 The answer is: C

C

mathematics

The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 330 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?

[ "48", "66", "72", "80", "84" ]

Let x be the number of new boarders. The ratio changed from 5:12 up to 1:2 = 6:12. 330 / (330+x) = 5/6 x = 66 The answer is B. The answer is: B

B

mathematics

Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 8 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?

[ "30", "20", "18", "12", "6" ]

21-12 < no of hrs < 21-8 9< no of hrs < 13. D The answer is: D

D

mathematics

There are two groups of students in the sixth grade. There are 20 students in group A, and 80 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 15% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework?

[ "13%", "14%", "15%", "16%", "17%" ]

Number of students in group A = 20 students who forget homework in group A = 20 % of 20 = 4 students Number of students in group B = 80 students who forget homework in group B = 15 % of 80 = 12 students Total number of students = 20 + 80 = 100 students who forgot homework = 4 + 12 = 16 students percentage of students who forget homework = 16/100 * 100 = 16% Answer: D The answer is: D

D

mathematics

The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?

[ "288", "277", "342", "662", "262" ]

400*(90/100)*(95/100) = 342 Answer: C The answer is: C

C

mathematics

In an university college, the ratio of the number of boys and girls is 5 : 9. If the percentage increase in the number of boys and girls be 20% and 40% respectively. What will be the new ratio ?

[ "21 : 10", "12 : 17", "15 : 23", "10 : 21", "None of these" ]

Explanation : Solution: Originally, let the number of boys and girls in the university college be 5x and 9x respectively. Their increased number is (20% of 5x) : (40% of 9x) => (120*5x/100) : (140*9x/100) = 60x : 126x => x : y = 10 : 21. Answer : D The answer is: D

D

mathematics

If f(x) = 2x^2 + y, and f(2) = 20, what is the value of f(5)?

[ "104", "60", "62", "50", "25" ]

f(x) = 2x^2 + y f(2) = 20 => 2*(2)^2 + y = 20 => 8 + y = 20 => y = 12 f(5)= 2*(5)^2 + 12 = 62 Answer C The answer is: C

C

mathematics

31, 29, 24, 22, 17, ?

[ "15", "23", "13", "25", "28" ]

This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 .... Answer : A. The answer is: A

A

mathematics

The Lulu mall in city charges 80 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If David parked his bike in the mall for 7 hours and 30 minutes, how much is he going to pay?

[ "$36.6", "$12.", "$13.", "$14.5.", "$15." ]

0.80+5*5+2*5+0.80= $36.6 Answer: $36.6 The answer is: A

A

mathematics

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?

[ "18750 sq.m", "37500 sq.m", "40000 sq.m", "48000 sq.m", "None of these" ]

Solution So length =250 m; breadth=150m Area = (250 x 150)m² = 37500 m² Answer B The answer is: B

B

mathematics

The units digit of (35)^(87) + (3)^(45) is:

[ "2", "8", "6", "9", "0" ]

any power of anything ending in 5 always has a units digit of 5. So the first term has a units digit of 5. 2nd part 3^45 has a units digit of 3 Therefore, the second term has a units digit of 3. Of course 5 + 3 = 8, so something with a units digit of 5 plus something with a units digit of 3 Answer = B The answer is: B

B

mathematics

Convert 350 inches into centimeter?

[ "812cm", "820cm", "850cm", "889cm", "854cm" ]

1 inch = 2.54cm 350 inches = 100*2.54 = 889cm Answer is D The answer is: D

D

mathematics

In a bag, there are 4 white, 1 brown and 5 red pens. One pen is picked up randomly. What is the probability that it is neither white nor red?

[ "1/5", "1/10", "1/2", "1/3", "1/4" ]

Explanation : Neither white nor red means the pen drawn is brown. Total number of outcomes = (4+1+5) = 10. Number of Favourable outcomes = 1 = Number of brown pens. Hence, Probability of the event = 1/10. Answer : B The answer is: B

B

mathematics

The square root of (7 + 3âˆš5) (7 - 3âˆš5) is

[ "âˆš5", "2", "4", "3âˆš5", "5" ]

Explanation: âˆš(7 + 3âˆš5)(7 - 3âˆš5) = âˆš(7)2 - (3âˆš5)2 = âˆš49 - 45 = âˆš4 = 2. ANSWER IS B The answer is: B

B

mathematics

Of 70 players on a football team, 34 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?

[ "54", "58", "63", "71", "92" ]

Total = 70 Thrower = 34 Rest = 70 - 34 = 36 Left Handed = 36/3 = 12 Right handed = 24 If all Thrower are right handed then total right handed is 34 + 24 = 58 so B. 58 is the right answer The answer is: B

B

mathematics

Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 42 percent were employees, what percent were stockholders who were not employees?

[ "34%", "58%", "45%", "53%", "62%" ]

Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M were stockholders and 42% of M or 0.42M were employees, it follows that 0.62M + 0.42M = 1.04M were either stockholders, employees, or both. Since 1.04M exceeds M, the excess 1.04M − M = 0.04M must be the number of attendees who were both stockholders and employees, leaving the rest 0.62M − 0.04M = 0.58M, or 58%, of the meeting attendees to be stockholders but not employees. The correct answer is B. The answer is: B

B

mathematics

A certain party consists of four different group of people 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?

[ "2191", "2200", "2291", "2391", "2491" ]

Let S be the amount spent for all students Let P be the amount spent for all politicians Let A be the amount spent for all actors and Let L be the amount spent for all leaders. given that 6 students spent as much as 7 politicians i.e Amount spent per student x 6 = Amount spent per politician x 7 Or (Total amount spent on students / Total Students) x 6 = (Total amount spent on politicians / Total politicians)x 7 Or., (S/30)x 6 = (P/35)x7 => S/5 = P/5 => S = P ..... eqn 1 15 politicians spent as much as 12 actors : Therefore, (P/35)x15 = (A/20)x12 => 3P/7 = 3A/5 => 5P = 7P => 5S = 7A (since S = P) => A = 5S/7 ........eqn2 and 10 actors spent as much as 9 leaders : Therefore, (A/20)x10 = (L/27)x9 => 3A = 2L => A = 2L/3 => 5S/7 = 2L/3 (since A=5S/7) => L = 15S/14 ......eqn3 the total amount spent for the party is Rs.9000 i.e., S+P+A+L = 9000 from eqn1, eqn2, eqn3 we have S + S + 5S/7 + 15S/14 = 9000 53S/14 = 9000 s=9000*14 / 53 s=2290.90 ~ 2291 Hence the answer is Rs.2291 ANSWER:C The answer is: C

C

mathematics

If the sum of 1/3 and 22/99 is converted to a decimal, what is the 3000th digit to the right of the decimal place?

[ "2", "3", "5", "8", "9" ]

1/3 +22/99 = 5/9=0.555555555... hence, the 3000th digit would also be 5 Ans: C The answer is: C

C

mathematics

If a real number x is chosen at random in the interval [0,3] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y?

[ "23/30", "7/12", "11/15", "7/10", "3/4" ]

Since x is in [0,3] and y is in [0,5] we can draw a rectangle in the coordinate plane with vertices (0, 0), (3, 0), (0, 5), and (3, 5). The points above the line y=x satisfy x < y. The part of the rectangle below y=x has an area of 4.5. The whole rectangle has an area of 15. P(x < y) = (15-4.5)/15 = 21/30 = 7/10 The answer is D. The answer is: D

D

mathematics

ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?

[ "1:5", "625:3125", "100:105", "100^4:105^4", "725:3225" ]

Hi Bunuel, Here is my approach: is this correct? ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. Interest earned in 4 year= 10000(1+0.05)^4 Interest earned in 5 year= 10000(1+0.05)^5 Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105 Hence Ans:C The answer is: C

C

mathematics

9000 + 16 2/3 % of ? = 10500

[ "2387", "2888", "9000", "2837", "2271" ]

Explanation: 9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500 50/(3 * 100) of ? = 1500 => ? = 1500 * 6 ? = 9000 Answer: C The answer is: C

C

mathematics

Rectangular tile each of size 45cm by 50cm must be laid horizontally on a rectangular floor of size 250cm by 180cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:

[ "35", "40", "25", "18", "20" ]

Area of tile = 45*50 = 2250 Area of floor = 250*180 = 45000 No of tiles = 45000/2250 = 20 So, the no of tile =20 ANSWER:E The answer is: E

E

mathematics

Ross has 80 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.

[ "12 ; 20.", "12 ; 19.", "12 ; 18.", "12 ; 17.", "12 ; 16." ]

Total shirts = 80 Green shirts = 3/4*80 = 60, Non green shirts = 20 Shirts without button = 1/10*80 = 8, shirts with button = 72 Required: Range of shirts with buttons that are not green. Maximum non green shirts with buttons = number of non green shirts = 20 Minimum non green shirts with buttons (All without button shirts are non green) = Non green shirts - shirts without button = 20 - 8 = 12 Hence the range would be (12, 20) Correct Option: A The answer is: A

A

mathematics

In the Hillside summer camp there are 60 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?

[ "50.", "45.", "40.", "60.", "25." ]

Given there are 60 students , 90% of 60 = 54 boys and remaining 6 girls. Now here 90% are Boys and 10% are Girls. Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%.. If we add 60 to existing 54 then the count will be 114and the girls number will be 6 as it. Now boys are 95% and girls are 5%. ( out of 120 students = 114 boys + 6 girls ). IMO option D is correct. The answer is: D

D

mathematics

Today is Saturday. After 72 days, it will be:

[ "Sunday", "Saturday", "Monday", "Thursday", "Wednesday" ]

Each day of the week is repeated after 7 days. So, after 70 days, it will be Saturday. After 72 days, it will be Monday. Answer :C The answer is: C

C

mathematics

Find the value of 72515 x 9999 = m?

[ "456578972", "725077485", "653658791", "725117481", "357889964" ]

72515 x 9999 = 72515 x (10000 - 1) = 72515 x 10000 - 72515 x 1 = 725150000 - 72515 = 725077485 B The answer is: B

B

mathematics

A box contains 5 green balls, 4 red balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

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

Total number of balls = 4+5+6 = 15 n(s)=15 E1 = event of drawing a red ball = 4/15 E2 = event of drawing a green ball = 5/15 P(E1)+P(E2) = (4/15)+(5/15) = 9/15 = 3/5 Answer is C The answer is: C

C

mathematics

On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $80,000?

[ "15", "16", "18", "20", "24" ]

x- interest rate 80.000= 10.000 (1+x)^year => 8=(1+x)^year 40.000=10.000 . (1+x)^12 => 4= (1+x)^12 =>2= (1+x)^6 => 8 = (1+x)^ 18 So, after 18 years, the total value of the investment plus interest will increase to $80,000. ANSWER:C The answer is: C

C

mathematics

There are two numbers. If 70% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?

[ "5/9", "5/7", "5/3", "5/8", "5/14" ]

Let the two numbers be x and y. 70/100 * x + y = 5/4y => 7/10 x = 1/4 y => x/y = 5/14 Answer: E The answer is: E

E

mathematics

Solution Y is 30 percent liquid X and 70 percent water. If 4 kilograms of water evaporate from 8 kilograms of solution Y and 4 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

[ "40%", "41 1/2%", "44%", "45%", "46%" ]

In 8 kilograms of solution Y there are 0.3*8=2.4 kilograms of solution X; After 4 kilograms of water are replaced by 4 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.3*4=1.2 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+1.2=3.6 kilograms of solution X, which is 3.6/8*100=45% of this new solution. Answer: D. The answer is: D

D

mathematics

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

[ "$1.10", "$8.80", "$11.00", "$57.30", "$78.10" ]

Let price be $ 10 The store owner decided to raise the price of a particular item by exactly 10%, so the new price must be 110 *10 /100 =>11 So, The new price must be a multiple of 11 From the given options check for all the multiples of 11 Test of divisibility of 11 is if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11. A. $1.10 B. $8.80 C. $11.00 By a quick glance even a 2nd grader can eliminate options A,B and C , because they are all divisible by 11 , let with only 2 options check for the divisibility rule for options D and E D. $57.30 Sum of even digits is 5+3 = 8 Sum of odd digits is 7 +0 = 7 Difference of the even and odd digits is 8 - 7 = 1 ; not divisible by 11 Hence this is our answer. E. $78.10 Further inspection is not required since we have already found out the answer at (D) The answer is: D

D

mathematics

8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work?

[ "5 days", "15 days", "28 days", "6 days", "7 days" ]

Explanation: 1 man’s 1 day’s work = 1/8 × 12 = 1/96 10 men’s 1 day’s work = 1 × 10/96 = 5/48 1 woman’s 1 day’s work = 1/192 4 women’s 1 day’s work = 1/192 × 4 = 1/48 1 child’s 1 day’s work = 1/240 18 children’s 1 day’s work = 3/40 Therefore, (10 men + 4 women + 18 children)’s 1 day’s work = 5/48 + 1/48 + 3/40 = 1/5 The required No. of days = 5 days Answer: Option A The answer is: A

A

mathematics

Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $250 per month per customer. If the company’s average revenue per customer per month is $200, then what percent of the company's revenue comes from customers with Plan A?

[ "10.7%", "30%", "37.5%", "56.25%", "75%" ]

If there are A customers with plan A, and B customers with plan B, then the total revenue is $75A + $250B. Since the average customer pays $100, we know that $200 = ($75A + $250B) / (A + B) $200(A + B) = ($75A + $250B) $200A + $200B = $75A + $250B $125A = $50B A = 2/5*B. Since there are 2/5 times as many $75 clients as $250 clients, for every $250 received from Plan B customers, 2/5*($75) = $30 is received from Plan A customers, and the percent of revenue from customers with Plan A is: $30/($30 + $250) = $30/$280 = 10.7%. The correct answer is choice (A). The answer is: A

A

mathematics

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:

[ "4cm", "6cm", "8cm", "10cm", "9cm" ]

Explanation: Curved surface area of sphere =4/πr2Surface area of cylinder =2πrh =>4/πr2=2πrh =>r2=6∗12/2 =>r2=36 =>r=6 Note: Diameter of cylinder is 12 so radius is taken as 6. Option B The answer is: B

B

mathematics

A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?

[ "600", "288", "2768", "287", "191" ]

S.I for 5 years = (1020 - 720) = Rs. 300. S.I. for 2 years = 300/5 * 2 = Rs. 120. Principal = (720 - 120) = Rs. 600. Answer: A The answer is: A

A

mathematics

There are 7 people and 7 chairs. In how many different ways people can occupy the chairs?

[ "5040", "4500", "3400", "6766", "120" ]

number of ways =7! = 5040 Answer is A The answer is: A

A

mathematics

The following list follows a peculiar pattern. Can you find it out and guess the next number? 2, 12, 36, 80, 150, 252, ?

[ "383", "321", "392", "651", "823" ]

C The next number is 392. The first number = (Square of 1 + Cube of 1) The second number = (Square of 2 + Cube of 2) The third number = (Square of 3 + Cube of 3) The fourth number = (Square of 4 + Cube of 4) The fifth number = (Square of 5 + Cube of 5) The sixth number = (Square of 6 + Cube of 6) Therefore, the seventh number will be Square of 7 + Cube of 7 = 392. The answer is: C

C

mathematics

The 80-milliliter solution of sugar and water is 25% sugar. How much water (in milliliters) must be added to make a solution that is 5% sugar?

[ "300", "320", "340", "360", "380" ]

In the original solution the amount of sugar is 0.25*80=20 ml. Let the volume of the new solution be V. 0.05V=20 ml. V=400 ml. The amount of water we need to add is 400 - 80 = 320 ml. The answer is B. The answer is: B

B

mathematics

What percent is 5 gm of 1 kg?

[ "1.5 %", "0.5 %", "2.5 %", "3.5 %", "4 %" ]

1 kg = 1000 gm 5/1000 × 100 = 500/1000 =1/2 = 0.5 % B) The answer is: B

B

mathematics

A trumpet section includes seven musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?

[ "240", "125", "5040", "100", "25" ]

We have a word problem using permutations. We must identify the number of total items in the group. There are seven possible musicians who could be placed in the first chair, six possible musicians for the second, five for the third, four for the fourth, and three for the fifth, and two for the sixth and one for the seventh. To determine the number of possible orderings, we multiply these numbers, which we can express as 7!. Now 7! = (7)(6)(5)(4)(3)(2)(1) = 5040=C The answer is: C

C

mathematics

If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?

[ "20%", "2/8%", "2/1%", "1/3%", "2/7%" ]

Let the price of the article be Rs. 100. 25% of 100 = 25. New price = 100 + 25 = Rs. 125 Required percentage = (125 - 100)/125 * 100 = 25/125 * 100= 20%. Answer:A The answer is: A

A

mathematics

if p is a positive integer greater than 8, which of the following must be divisible by 4?

[ "p(p-1)(p+2)(p+3)", "p(p-1)(p+3)(p+4)", "p(p-3)(p+2)(p+4)", "p(p-3)(p+2)(p+3)", "p(p+1)(p+3)(p+4)" ]

D. For any integer p, D is the only answer choice which will always be divisible by 4. A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isp* [(p-1)OR(p+3)] * [(p-2)OR(p+2)] * [(p-3)OR(p+1)]. (answer D) The answer is: D

D

mathematics

If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 20 percent, how much would she earn per week?

[ "$420", "$382", "$385", "$392", "$399" ]

(406/116)120 =420 In this case long division does not take much time. (406/116)=3.5 35*12=420(350+70) Answer A The answer is: A

A

mathematics

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?

[ "Rs. 600", "Rs. 500", "Rs. 400", "Rs. 300", "None of these" ]

Explanation : T = 2 years R = 10% TD = (BG ×100)/TR = (24 × 100)/(2×10) = 12 × 10 = Rs. 120 TD = (PW × TR)/100 ⇒ 120 = (PW × 2 × 10)/100 ⇒ 1200 = PW × 2 PW =1200/2 = Rs. 600 Answer : Option A The answer is: A

A

mathematics

In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $700 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $2,100 higher that M, then what percentage of apartments in the building are two-bedroom apartments?

[ "25%", "15%", "20%", "40%", "45%" ]

Ratio of 2 Bedroom Apartment: 1 Bedroom Apartment = 700 : 2100 -----> 1 : 3 Let total number of Apartments be X No. of 2 Bedroom Apartment = (1 / 4) * X percentage of apartments in the building are two-bedroom apartments ----> (1/4) * 100 ---> 25% Answer : A The answer is: A

A

mathematics

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?

[ "400", "540", "500", "520", "589" ]

Speed = 78 * 5/18 = 65/3 m/sec. Time = 1 min = 60 sec. Let the length of the train be x meters. Then, (900 + x)/60 = 65/3 x = 400 m. Answer: Option A The answer is: A

A

mathematics

A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?

[ "2/5", "3/5", "3/10", "7/20", "11/20" ]

1/2 of the small beaker is 1/10 of the large beaker. 1/10 + 1/2 = 3/5 The answer is B. The answer is: B

B

mathematics

The least number which should be added to 1800 so that the sum is exactly divisible by 5,6,4 and 3 is :

[ "3", "13", "23", "30", "43" ]

Solution L.C.M. of 5,6,4 and 3 = 60. on dividing 1800 by 60, the remainder is 30. ∴ Number to be added = (60-30) = 30. Answer D The answer is: D

D

mathematics

How many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards? (1 mile = 1,160 yards)

[ "1.25", "1.31", "1.58", "1.87", "2.3" ]

speed = 120 miles/hr = 58.67 yard/s distance = 77 yards time = distance/speed =77/58.67 =1.31 sec ans - B The answer is: B

B

mathematics

A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?

[ "76 sec", "89 sec", "16 sec", "14 sec", "19 sec" ]

Speed = 240/24 = 10 m/sec. Required time = (240 + 650)/10 = 89 sec. Answer:B The answer is: B

B

mathematics

Joe invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 3 years and to $500 at the end of another 5 years. What was the rate of interest in which he invested his sum?

[ "4.76%", "5.88%", "6.33%", "7.75%", "8.33%" ]

In 5 years, the value grew $100, so the simple interest was $20 per year. In 3 years, the total interest was 3*$20 = $60 The principal is $400 - $60 = 340. The interest rate is $20/$340 = 1/17 which is about 5.88% The answer is B. The answer is: B

B

mathematics

What is the remainder when 103 * 505 * 607 is divided by 9

[ "6", "18", "2", "4", "7" ]

103/9==> Remainder=4 505/9==> Remainder=1 607/9==> Remainder=4 =4*4*1=16/9==> Remainder=7 Answer: E The answer is: E

E

mathematics

The ratio of cats to dogs to birds to fish is 8:9:10:11. There are no other types of animals in the pet store. which of the followingcannotbe the total number of animals in the store?

[ "76", "114", "152", "190", "345" ]

The parts add up to 8 + 9 + 10 + 11 = 38, so we know that any possible number of total answers must be a multiple of 38. All five answer choices are multiples of 38: (A) 76= 38*2 (B) 114= 38*3 (C) 152= 38*4 (D) 190= 38*5 (E) 345= not a multiple of 38 The answer is: E

E

mathematics

After allowing a discount of 15% on the marked price, the selling price is $6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?

[ "$5400", "$5750", "$5000", "$7000", "$2000" ]

C $5000 Given SP = $6800 Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = $8000 If SP = $8000, profit = 60% CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = $5000 The answer is: C

C

mathematics

If |4x+6| = 50, what is the sum of all the possible values of x?

[ "2", "-2", "4", "-3", "6" ]

There will be two cases 4x+6= 50 or 4x+6 = -50 => x =11 or x= -14 sum of both the values will be -14 +11 = -3 Answer is D The answer is: D

D

mathematics

Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together?

[ "44", "31", "15", "16", "17" ]

L.C.M of 1,2,3,4,5,6 is 180. i.e after each 1 min they will toll together.So in 30 min they will toll 30 times.As they have initially tolled once,The answer will be 30+1=31. ANSWER:B The answer is: B

B

mathematics

A batsman makes a score of 80 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.

[ "40", "50", "62", "30", "56" ]

Let the average after 11th inning = x Then, average after 10th inning = x-5 10(x-5)+80 = 11x x = 80-50 = 30 Answer is D The answer is: D

D

mathematics

Find the odd man out 1, 2, 5, 14, 41, 124

[ "2", "14", "124", "41", "21" ]

1*3-1 =2 2*3-1 = 5 5*3-1 = 14 14*3-1 = 41 41*3 -1 = 122 ANSWER:C The answer is: C

C

mathematics

The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 588 feet squared, what is the difference between the length and the width of the roof?

[ "28.", "40.", "42.", "44.", "46." ]

Answer is A: 28 Let w be the width , so length is 3w. Therefore : w*3w = 588, solving for, w = 14 , so 3w-w = 2w = 2*14 = 28 The answer is: A

A

mathematics

f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater?

[ "f(x)", "g(x)", "h(x)", "both", "none" ]

let x=100 then g(x)=100^10=10^20 h(x)=10^100 so h(x) is greater ANSWER:C The answer is: C

C

mathematics

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

[ "300", "400", "600", "500", "None of these" ]

Explanation : By the rule of alligation,we have Profit% by selling 1st part Profit% by selling 2nd part 8 18 Net % profit 14 18-14=4 14-8=6 => Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3 Total quantity is given as 1000Kg So Quantity of part2 (Quantity sold at 18% profit) = 1000×35=600Kg Answer : Option C The answer is: C

C

mathematics

33 1/3% OF 390?

[ "80", "90", "110", "120", "130" ]

33 1/3 % = 1/3 1/3 × 390 = 130 E) The answer is: E

E

mathematics

Mr. Hernandez, who was a resident of State X for only 9 months last year, had a taxable income of $42,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?

[ "$900", "$1275", "$1200", "$1300", "$1060" ]

Total tax for the year = 42,500 x 4% = 1700 As stated Annual tax is prorated as per the duration of stay. Prorated Tax = 1700 (9/12) = 1275 Answer B The answer is: B

B

mathematics

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?

[ "7:3", "3:7", "4:8", "8:4", "2:3" ]

Let age of the son before 10 years =x and age of the father before 10 years =3x (3x+20)=2(x+20)⇒x=20 Age of the son at present =x+10=20+10=30 Age of the father at present =3x+10=3×20+10=70 Required ratio =70:30=7:3 Answer is A. The answer is: A

A

mathematics

A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was:

[ "Rs. 3,750", "Rs. 3,250", "Rs. 2,750", "Rs. 2,250", "None" ]

Solution: Let the original CP = Rs. X. Hence, SP= X + 15% of X = 115X/100 = Rs. 23X/20. New, CP = X - 25% of X = 75X/100 = 3X/4. New SP = 3X/4 + 32% of 3X/4 = Rs. 99X/100. According to the question, (23x/20)-(99x/100)= 600 Or, (115x-99x)/100 = 600 16x = 600*100 X = 600*100/16 = Rs. 3750. Answer: Option A The answer is: A

A

mathematics

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

[ "306", "308", "310", "311", "315" ]

LCM X HCF = First No. X Second No. LCM=7700 HCF=11 First No.=275 7700 X 11 = 275 X Second No. Second No.= 308 answer :B The answer is: B

B

mathematics

Which of the following numbers is between 2⁄5 and 1⁄4?

[ ".45", ".35", ".23", ".22", ".20" ]

Isn't it B? 2/5 = .40 1/4 = .25 The only answer between that is B, .35. The answer is: B

B

mathematics

A part-time employee’s hourly wage was increased by 40%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?

[ "9%", "15%", "29%", "50%", "100%" ]

Let's plug in somenicenumbers and see what's needed. Let's say the employee used to make $1/hour and worked 100 hours/week So, the TOTAL weekly income was $100/week After the 40% wage increase, the employee makes $1.40/hour We want the employee's income to remain at $100/week. So, we want ($1.40/hour)(new # of hours) = $100 Divide both sides by 1.40 to get: new # of hours = 100/1.40 ≈ 71 hours So, the number of hours decreases from 100 hours to (approximately) 71 hours. This represents a 29% decrease (approximately) . Answer : C The answer is: C

C

mathematics

In an exam, Amar scored 49 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?

[ "344", "826", "207", "269", "208" ]

Average mark scored by all the three boys = [49/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 344 Answer: A The answer is: A

A

mathematics

The number 0.127 is how much greater than 1/8 ?

[ "1/100", "1/1500", "1/2", "1/500", "1/600" ]

Explanation: 0.127 expressed as a fraction = 127/1000 1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000 The difference is 2/1000, which is 1/500 ANSWER IS D The answer is: D

D

mathematics

A discount dealer professes to sell his goods at cost price but uses a weight of 960 gms for a Kg weight .Find his gain %?

[ "25%", "6%", "6/25%", "25/6%", "42%" ]

Gain%=[(error*100)/(true value-error)]% =[(40*100)/1000-40)]%=25/6% ANSWER D 25/6% The answer is: D

D

mathematics

A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?

[ "11", "33", "77", "88", "11" ]

750 --- 250 100 --- ? => 33% Answer:B The answer is: B

B

mathematics

Fill in the missing number: 18 14 12 11 10.5 ?

[ "10.1", "10.4", "10.2", "10.25", "10.3" ]

D 10.25 Divide each number by 2 and then add 5 to it. The answer is: D

D