Datasets:

thewordsmiths

/

stem_mcqa

like 1

Follow

The Wordsmiths 3

mathematics

A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?

Wholesale cost of jeans = $50 Jeans were priced at 30% above $50 = $65 % discount given by sale = 25% Customer paid = .75 * 65 = $48.75 Cost of 2 pairs of jeans = 48.75 * 2 = $97.5 Answer D The answer is: D

D

mathematics

In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.24 per kg so that cost of mixture is Rs.18 per kg?

(18-24)/(16-18)=6/2=3:1 ANSWER:C The answer is: C

C

mathematics

The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?

The total of seven numbers = 7X18 = 126 The total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108 So, the middle number is (126 - 108 ) = 18 D The answer is: D

D

mathematics

Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?

In this series, each number is repeated, then 14 is subtracted to arrive at the next number. Answer: B The answer is: B

B

mathematics

240 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?

240 = 2^4*3*5 There are factors in each range except for 65~75 The answer is E. The answer is: E

E

mathematics

A train of length 250 m crosses a bridge of length 180m in 20 seconds. What is the speed of train?

Sol : (length of train+ length of bridge) = speed of train x Time (250+180) = 20 x Speed Speed = 430/20= 21.5 m/s =77.4 km/h ANSWER=B The answer is: B

B

mathematics

An investment yields an interest payment of $228 each month. If the simple annual interest rate is 9%, what is the amount of the investment?

Let the principal amount = P Simple annual interest = 9% Simple monthly interest = (9/12) = (3/4)% (3/4)*(P/100) = 228 =>P = (228 *4 * 10^2 )/3 = 76*4*10^2 = 304 * 10^2 Answer B The answer is: B

B

mathematics

If 25 toys cost Rs, 234, what do 35 toys cost?

Let the required cost be Rs. x. Then, More toys, More cost (Direct Proportion) x=(35 X 234)/25 =327.60 Answer is A The answer is: A

A

mathematics

A company’s four cars running 8 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?

Given that 4 cars running 8 hrs a day consume 1200 lts. of fuel in 10 days. 1 car consumption per hour per day = 1200 /4 *8 *10 = 3.75 litre Now question say new car consume 20% less fuel than the company’s four cars = 80/100 of 3.75 = 3 ( 20 percent less than 3.75) Hence we calculate total consumption for next 6 days, the company will need to run 5 new cars for 12 hrs = 3*12 *6*5 =1080 similarly = old 4 car consumption for next 6 days for 12 hrs = 3.75*6*12*4 = 1080 hence total is = 1080+1080 = 2160 lt Ans is E . The answer is: E

E

mathematics

I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?

x*(85/100) = (480 - x)119/100 x = 280 Answer: B The answer is: B

B

mathematics

The time on a clock is 20 minutes past 7. What is the angle between the hands of the clock?

The hour hand rotates 360 degrees in twelve hours. The hour hand rotates 30 degrees in one hour. The hour hand rotates 5 degrees in ten minutes. At this time, the hour hand has rotated 220 degrees. The minute hand rotates 360 degrees in 60 minutes, or 60 degrees in ten minutes. At this time, the minute hand has rotated 120 degrees. The difference is 220 - 120 = 100 degrees. The answer is B. The answer is: B

B

mathematics

In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.10 per kg so that cost of mixture is Rs.12 per kg?

(12-10)/(16-12)=2/4=1:2 ANSWER:E The answer is: E

E

mathematics

(1/4 + 1/4 ÷ 5/4) / (1/4 x 1/4 + 2 1/4) = ?

Answer Given expression = (1/4 + 1/4 x 4/5) / (1/16 + 9/4) = (1/4 + 1/5) / (37/16) = 9/20 x 16/37 = 36/185 Correct Option: C The answer is: C

C

mathematics

The T train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the T train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?

The reason it is failing for you is that you chose incorrect numbers. If the question says T it took 7 hrs to reach from A to B and 5 hrs to reach from B to C at a constant speed. It shows that distance AB and BC should be in ratio of 7/5. If you take such numbers you can solve problem. AB = 7, BC=5 Therefore AB-BC = 2 But from question, AB-BC =m => m=2 Now total distance = AB+BC= 12 Substitute 12 to get answer in terms of m Total distance =12 =6m Ans B The answer is: B

B

mathematics

Angelina walked 1200 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?

let the speed be X... so time taken from home to grocery= 1200/x.. the speed to gym = 2x.. so time taken = 480/2x=240/x.. its given 1200/x-240/x=40.. 960/x=40.. x=24m/secs.. so grocery to gym=2*24=48m/s... D The answer is: D

D

mathematics

On 4th Jan, 2009 Sunday falls. What day of the week was it on 4th Jan, 2008?

Explanation: 4th Jan 2009 – 4th Jan 2008 = 52 weeks 1 day. So Jan 4th 2008 is behind one day = Saturday Answer: D The answer is: D

D

mathematics

What is the 4 digit no.in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?

First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9. First + second = third => we can eliminate 3 & 9 since 3 + 9 = 12. Last is 3 times the second => we can eliminate option 2 & 6 since 3 * 6 = 18. Hence the number is 1349 C The answer is: C

C

mathematics

There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 715. How many houses are there?

So it starts from 545 and goes like 547, 549,...... 715. and both first and last number are inclusive. Since every other number is odd, it's just 1/2 of the numbers and since it starts with an odd and ends with an odd inclusive add one to the result. i.e., ([715-545][/2]+1 = 86 Ans A The answer is: A

A

mathematics

Find 80 / ? = ? / 20

Answer Let 80/y = y/20 Then, y 2 = 80 x 20 = 1600 ∴ y = √1600 = 40. Option: A The answer is: A

A

mathematics

In a basketball game, Tim scored 20 points more than Joe, but only half as many points as Ken. If the three players scored a combined total of 100 points, how many points did Tim score?

Let Joe scored point = x Then Tim Scored = x+20 Ken Scored = 2*(x+20) = 2x+40 As given, x+x+20+2x+40 = 100 points 4x+60 = 100 x = 100-60/4 = 10 So Tim Scored = x +20 i.e) 10+20 = 30 Answer : D The answer is: D

D

mathematics

The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half?

The average of this half is 156.4/4 = 39.1 This is 4.1 below the overall average, thus the average of the other half of the numbers must be 4.1 above the overall age, that is 43.2+4.1 = 47.3 The answer is A. The answer is: A

A

mathematics

A person took some amount with some interest for 5 years, but increase the interest for 1%, he paid Rs.250/- extra, then how much amount he took?

Explanation: 5 years = Rs.250/- year = 250/5 Rate of Interest = 1% 100/1% × 250/5 = Rs.5000/- P = Rs.5000/- Answer: Option D The answer is: D

D

mathematics

10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.150000, find the cost of a camel?

Cost of the camel = P 10 camels = 24 horses 16 horses = 4 oxen 6 oxen = 4 elephants 10 elephants = Rs.150000 P = Rs.[(24 * 4 * 4 * 150000)/(10 * 16 * 6 * 10)] P = Rs.(57600000/9600) => P = Rs.6000 Answer:D The answer is: D

D

mathematics

If air is called green , green is called blue, blue is called blue, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?

Explanation: The colour of clear sky is 'blue' and as given, 'blue' is called 'blue'. So, the colour of clear sky is 'blue'. Answer: A The answer is: A

A

mathematics

How many different subsets of the set {0, 1, 2} do not contain 0?

Number of subset Since we have 2 digits other than 0, we can take any numbers from the set of 2 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations. 2c1+2c2=3 And one set is the NULL set having no elements in it so 3+1=4. ANSWER D. The answer is: D

D

mathematics

A = {1, 2, 3} and B = {4, 5, 6}.Find A-B

A = {1, 2, 3} B = {4, 5, 6} correct answer :A - B = {1, 2, 3} C The answer is: C

C

mathematics

If a, b are integers and |a-b|=6, which of the following is the smallest possible value of ab?

a=3, b=-3. Hence, the answer is D. The answer is: D

D

mathematics

In how many different ways can the letters of the word ‘PREPTY’ be arranged?

Number of ways = 61/21 6X5X4X3X2X1 - 360 E The answer is: E

E

mathematics

What is the least integer greater than –3+0.5?

This question is just about doing careful Arithmetic and remembering what makes a numberbiggerorsmallercompared to another number. First, let's take care of the Arithmetic: (-3) + (0.5) = -2.5 On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from -3 to -2.5). Next, the question asks for the LEAST integer that is GREATER than -2.5 Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of -2.5 is -2. Final Answer: A The answer is: A

A

mathematics

The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

33 + 43 + 53 = a3 => a = 6 Answer: D The answer is: D

D

mathematics

What is the next number in the series? 2,4,7,10,15,18,....

Adding (0,1,2,3,4,5,6,7) to the prime numbers. 2+0=2 3+1=4 5+2=7 7+3=10 11+4=15 13+5=18 17+6=23 ANSWER:A The answer is: A

A

mathematics

Let the polynomials be: P1(x)=3x2−7x+3, P2(x)=−5x2−4x+2, P1(x)+P2(x)=

Solution: P1(x)+P2(x)=(3x2−7x+3)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+3)+(−5x2−4x+2)= 3x2−7x+3−5x2−4x+2=3x2−7x+3−5x2−4x+2= −2x2−11x+5 Answer B The answer is: B

B

mathematics

What least no. must be subtracted from 427398 so that remaining no.is divisible by 15?

Explanation: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted Option B The answer is: B

B

mathematics

In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y =

Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x. Thus: (x, 6)=(12, 6) and (10, y) = (10,5) --> x*y=12*5=60. Answer: C The answer is: C

C

mathematics

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

Assume that in x days, one cow will eat one bag of husk. More cows, less days (Indirect proportion) More bags, more days (direct proportion) Hence we can write as CowsBags40:11:40⎫⎭⎬::x:40 ⇒40×1×40=1×40×x ⇒x=40 ANSWER:C The answer is: C

C

mathematics

which of the following is correct formula for divisor rule ?

option A is correct The answer is: A

A

mathematics

A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6,7,8,9}. If no digit may be repeated and each password must be at least 8 digits long, how many passwords are possible?

If we choose the 9 different digits then they can be arranged in 9! ways. The number of possible 8-digit passwords is 9*8*...*2 = 9! The total number of passwords is 9! + 9! = 2*9! The answer is B. The answer is: B

B

mathematics

A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 50km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is

average speed = (2*50*20)/50+20 km/hr =28.5 km/hr Answer (D) The answer is: D

D

mathematics

A coin is tossed live times. What is the probability that there is at the least one tail?

Let P(T) be the probability of getting least one tail when the coin is tossed five times. = There is not even a single tail. i.e. all the outcomes are heads. = 1/32 ; P(T) = 1 - 1/32 = 31/32 Answer: A The answer is: A

A

mathematics

John completes a piece of work in 10 days, Rose completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?

If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 10 × 40/50 = 8 days B) The answer is: B

B

mathematics

Find the invalid no.from the following series 13, 18, 25, 30, 37, 40

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. C The answer is: C

C

mathematics

Convert the 13/48 m/s into kilometers per hour?

13/48 m/s = 13/48 * 18/5 = 49/50 = 0.98 kmph. ANSWER:E The answer is: E

E

mathematics

The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:

x+(x+36)+y=100 => 2x+y=64 Therefore y must be even prime, which is 2. Therefore 2x+2=64 => x=31 Third prime number= (x+36)= (31+36)= 67. Answer: D The answer is: D

D

mathematics

Find the odd man out. 125, 127, 130, 135, 142, 153, 165

Explanation : Prime numbers 2, 3, 5, 7, 11, 13 are added successively. Hence, 165 is wrong. Answer : Option A The answer is: A

A

mathematics

A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?

by the question, the equation would be 150 p - 84*150 - 16500 = 0 p being the price we want to find and equation resulting zero means revenue and costs are equal so we can get the minimum price of the component. solving the equation, we get p = $ 194. Answer E for me. The answer is: E

E

mathematics

The average of 6 observations is 12. A new seventh observation is included and the new average is decreased by 1. The seventh observation is :

Explanation: Seventh observation = (7××11-6××12)=5 Correct Option: C The answer is: C

C

mathematics

if 105 is represented as 253 in base 6,how is 253 represented in base 6?

(105)base6=253 then (253)base6=1101 because 253%6=1 and 253/6=42 then 42%6=0 and 42/6=7 then7%6=1 and 7/6 = 1 and then 1%6=1 and 1/6=0 we see remainder part in reverse order that is 1101 so ans is 1101 ANSWER:B The answer is: B

B

mathematics

5 percent of 255 =

255/100=2.55 1% =2.55 5%= 2.55*5 = 12.75 ANSWER:D The answer is: D

D

mathematics

Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

First persons investment = x Second persons investment = x + 1000 Third persons investments = x + 2000 x + x + 1000 + x + 2000 = 9000 3x = 6000 x = 2000 Ratio = 2000 : 3000 : 4000 2:3:4 4/9 * 54000 = 2400 Answer:A The answer is: A

A

mathematics

A 6 litre sol is 20% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?

20% of 6 = 1.2 50% of 6 = 3 shortage is 1.8 so we need to have 1.8/50% to get 50% alcohol content. = 3.6 D The answer is: D

D

mathematics

If log10 2 = 0.3010, the value of log10 80 is:

Explanation: log10 80 = log10 (8 x 10) = log10 8 + log10 10 = log10 (23 ) + 1 = 3 log10 2 + 1 = (3 x 0.3010) + 1 = 1.9030. answer B The answer is: B

B

mathematics

A pump can fill a tank with a water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in

Sol. Work done by the leak in 1 hour = (1/2 - 3/7) = 1/14. ∴ Leak will empty the tank in 14 hrs. Answer D The answer is: D

D

mathematics

If YWVSQ is 25 - 23 - 21 - 19 - 11, Then MKIGF

MKIGF = 11 - 11 - 9 - 7 - 1 Note: this is a dummy question. Dont answer these questions Answer:E The answer is: E

E

mathematics

If the length of an edge of cube P is thrice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?

The length of cube Q = 1; The length of cube P = 3; The ratio of the volume of cube Q to the volume of cube P = 1^3/3^3 = 1/27 Answer : D The answer is: D

D

mathematics

Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?

Let x be the value of the weekly allowance. (2/3)(2/5)x = 120 cents (4/15)x = 120 x = $4.50 The answer is D. The answer is: D

D

mathematics

The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle.

Let inner radius be r metres. Then, 2(22/7)r = 440 = r = (440 x (7/44))= 70 m. Radius of outer circle = (70 + 14) m = 84 m. Answer is A The answer is: A

A

mathematics

How many minutes does it take James to type 8 words if he types at the rate of 4 words per minute?

time*rate=job --> time*4=8 --> time=8/4=2. Answer: C. The answer is: C

C

mathematics

In a group of 28 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?

A 7 Add 7 + 10 + 4 to get 21. Then subtract 21 from the total students ⇒ 28 – 21 = 7. The answer is: A

A

mathematics

The sum of the even numbers between 1 and n is 89*90, where n is an odd number, then n=?

Let n-1 = 2a. 2+4+...+2a = 2*(1+2+...+a) = 2*(a)(a+1)/2 = (a)(a+1) = 89*90 Then a = 89 and n = 179. The answer is C. The answer is: C

C

mathematics

In how many different ways can a group of 8 people be divided into 4 teams of 2 people each?

You need to choose 4 groups of 2 from 8 people: That's 8/!2!2!2!2!, then divided by 4!, since any ordering of these 4 groups is the same. Total = 8/2!2!2!2!4!=8!/8∗2∗4!=7!/2∗4!=7∗6∗5∗4∗3∗2/4∗3∗2∗2=7∗6∗5/2=35∗3=105. Answer: B The answer is: B

B

mathematics

How long will it take a sum of money invested at 6 % p.a. S.I. to increase its value by 60%?

Sol. Let the sum be x. Then, S.I. = 60% of x = 3x/5; Rate = 6%. ∴ Time = [100 * 3x/5 * 1/x*6] = 10 years Answer C The answer is: C

C

mathematics

The sum of the present age of Henry and Jill is 43. What is their present ages if 5 years ago Henry was twice the age of Jill?

Let the age of Jill 5 years ago be x, age of Henry be 2x x+5 + 2x+5 = 43 x = 11 Present ages will be 16 and 27 Answer : A The answer is: A

A

mathematics

A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead and yellow bead. If the necklace begins with a red bead and ends with a white bead, then N could be:

The pattern is R G W B Y R G W B Y R ....... So, White bead comes at these positions 3rd, 8th, 13th, 18th... If we take this as a arithmetic progression, then this series can be expressed as 3 + (n - 1) 5. ( From the formula for general term of AP = a + (n-1)d). This can be expressed as 5n - 2 We check the answer options so only 68 satisfy the condition. Answer:C The answer is: C

C

mathematics

In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what q percent of all the people in Smithtown are left-handed women?

looking at the ratio we can take total number of people q=20.. ans 5/20 or 25% C The answer is: C

C

mathematics

If $30,000 interest is invested in x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?

Principal * no.of years * percentage of interest Answer : B The answer is: B

B

mathematics

With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?

B 480 km Let the distance be x km. Then, x/(7 1/2) - x/8 = 4 2x/15 - x/8 = 4 => x = 480 km. The answer is: B

B

mathematics

(1+0.0001)/(0.00004+1) The value of the expression above is closet to which of the following?

Notice that we need approximate value of the fraction. Now, the nominator is very close to 1 and the denominator is very close to 1, hence the value of the fraction is very close to 1/1=1. Answer: D. The answer is: D

D

mathematics

Goldenrod and No Hope are in a horse race with 6 contestants. How many different L arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?

no hope finishing before goldenrod= 1/2 of the times therefore the different L arrangements are 1/2* 6! = 360 = B The answer is: B

B

mathematics

If the number 872,152,24x is divisible by 11, what must be the value of x?

Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11 Given number: 872,152,24x Sum of digits at odd places = 8 + 2 + 5 + 2 + x = 17 + x (i) Sum of digits at even places = 7 + 1 + 2 + 4 = 14 (ii) (i) - (ii) = 17 + x - 14 = x - 3 Hence x should be = 3 to make this a multiple of 11 (0) Option C The answer is: C

C

mathematics

In order to complete a reading assignment on time, Terry planned to read 120 pages per day. However, she read only 60 pages per day at first, leaving 840 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?

D=120*X - according to the plan, assignment to be completed on time reading 120 pages per day for next X days. But, Terry's plans changed so she read as follow: 60 pages for first Y days and 780 pages for last 6 days, we get these equations: 60*Y+840=120*X X-Y=6 --------->>X planned number of days, Y - actually used reading 60 pages per day and 6 leftover days used to complete a lump 780 pages From above we find that X=Y+6 and 60Y+840=120Y+720 or 60Y=120 --->>>>> Y=2, hence X=8 Answer : C The answer is: C

C

mathematics

A and B started a business investing Rs. 75,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?

A: B = 75000 : 20000 = 75 : 20 = 13 : 4 ANSWER:E The answer is: E

E

mathematics

Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then

A--X------B C----Y----D XB > YD. Answer: A. The answer is: A

A

mathematics

What is the sum which earned interest? I. The total simple interest was Rs. 7000 after 7 years. II. The total of sum and simple interest was double of the sum after 5 years.

Explanation: Let the sum be Rs. x. I gives, S.I. = Rs. 7000 and T = 7 years. II gives, Sum + S.I. for 5 years = 2 x Sum Sum = S.I. for 5 years. Now, S.I. for 7 years = Rs. 7000. therefore, S.I. for 1 year = Rs. 1000. Thus, I and II both are needed to get the answer. Answer: D The answer is: D

D

mathematics

If r and s are positive integers and r-s=6, which of the following has the greatest value M?

You can answer this question by using Number Properties and logic or by TESTing VALUES. We're told that R and S are POSITIVE INTEGERS and that R-S = 6. We're asked which of the 5 answers has the GREATEST value. IF.... R = 8 S = 2 Answer A: 2R = 2(8) = 16 Answer B: 2S = 2(2) = 4 Answer C: R+S = 8+2 = 10 Answer D: 2R-S = 2(8) - 2 = 14 Answer E: 2S-R = 2(2) - 8 = -4 Final Answer: A The answer is: A

A

mathematics

A man buys Rs. 20 shares paying 9 % dividend. The man wants to have an interest of 12% on his money.The market value of each share is :

Solution Dividend on Rs. 20 = Rs.(9/100x20) = Rs.9/5 Rs. 12 is an income on Rs. 100. ∴ Rs.9/5 is an income on Rs. (100/12 X9/5)= Rs.15 Answer B The answer is: B

B

mathematics

In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three boys?

Average mark scored by all the three boys = [64/100 (500) + 36/100 (500) + 44/100 (500)] / 3 = 240 Answer: C The answer is: C

C

mathematics

" I am eight times as old as you were when I was as old as you are " , said a man to his son. Find out their present ages if the sum of the their ages is 75 years.

present age of boy x and previous age of boy y so present age of dad : 8y and previous age is x so the gap between duration must be same so 8y-x=x-y --> x=9y/2 and x+8y = 75 (given) --> 9y/2 + y=75 so y=6 and and x=27 therefore fathers age is 8y = 8*6 = 48 and child's age = x=27 ANSWER:E The answer is: E

E

mathematics

2 log10 5 + log10 8 – ½ log10 4 = ?

2 log10 5 + log10 8 – ½ log10 4 = log10 (52) + log10 8 - log10 (41/2) = log10 25 + log10 8 - log10 2 = log10 (25*8)/2 = log10 100 = 2 ANSWER:A The answer is: A

A

mathematics

If José reads at a constant rate of 2 pages every 5 minutes, how many seconds will it take him to read N pages?

Jose would read 1 page in 5/2 min Jose would read N page in (5/2)*N min i.e. (5/2)*N*60 Seconds = 150N Seconds. ANSWER:E The answer is: E

E

mathematics

A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?

Explanation: Let Marked price be Re. 1 each C.P. of 54 pens = Rs. 46 S.P. of 54 pens = 99% of Rs. 54= Rs. 53.46 Profit % = (Profit /C.P.) x 100 Profit% = (7.46/46) x 100 = 16.21 % ANSWER: C The answer is: C

C

mathematics

In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?

Number of ways to select four children is 10C4 = 210 Number of ways to choose only girls is 5C4 = 5 Number of ways that at least one boy is selected is 210 - 5 = 205 The answer is D. The answer is: D

D

mathematics

There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability R that at least one will be orange?

Method 1 Probability R that at least one out of two marbles will be orange = 1 - Probability that both marbles are blue = 1- P(First marble is blue) * P (Second Marble is Blue) = 1- (3/5)(2/4) = 7/10 Method 2 Probability that at least one marble will be orange = P( First Marble is Orange)*P(Second Marble is Blue) + P (First Marble is Blue)*P(Second Marble is Orange) + P(First Marble is Orange) *P(Second Marble is Orange) = (2/5)*(3/4)*2 + (2/5)*(1/4) = 7/10 Method 3 Probabilty that at least one marble will be orange = 1 - Probability that both marbles are blue = 1 - (Number of ways 2 blue marbles out of 3 can be pulled)/(Number of ways 2 marbles out of 5 can be pulled) = 1 - 3C2/5C2 = 1-(3/10) = 7/10 Answer :A The answer is: A

A

mathematics

Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?

There are five letters in the given word. Consider 5 blanks .... The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways. The number of words = 3! = 6. Answer:B The answer is: B

B

mathematics

The average (arithmetic mean) of the even integers from 0 to 60 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 30 inclusive?

The sum of even numbers from 0 to N is 2 + 4 +...+ N = 2(1 + 2 + ...+ N/2) = 2(N/2)(N/2+1)/2 = (N/2)(N/2+1) The average is (N/2)(N/2+1)/(N/2+1) = N/2 The average of the even numbers from 0 to 60 is 60/2 = 30 The average of the even numbers from 0 to 30 is 30/2 = 15 The answer is B. The answer is: B

B

mathematics

he ratio between the sale price and the cost price of an article is 5:6. What is the ratio between the profit and the cost price of that article?

Let C.P. = Rs. 6x and S.P. = Rs. 5x. Then, Gain = Rs. x Required ratio = x : 6x = 1:6. Answer:C The answer is: C

C

mathematics

If there are 664,579 prime numbers among the first 10 million positive integers, approximately what percent of the first 10 million positive integers are prime numbers?

664,579 = (x/100) * 10^7; 664, 579 = x * 10^5 => x = 664, 579/10^5 = 6.64579 ~ 6.6% Ans is (D). The answer is: D

D

mathematics

The data A and B are equal to the data subtracted C; The data B is three times the data A; If the data A is equal to 12 What is the sum of the data A, B and C?

The equations raised. A + B = C B = 3A A = 12 then B = 36 and C = 48 A + B + C = 96 Answer: E The answer is: E

E

mathematics

total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .

dinner bill of 7 person = 139 + 10% tip so, 10% of 139 = (139*10)/100 = 13.9 So, the actual total amount = 139+13.9 = $ 152.9 so per head bill = 152.9/7 = $ 21.84 ANSWER:A The answer is: A

A

mathematics

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.5 m and its walls are 5 cm thick. The thickness of the bottom is:

Explanation: Let the thickness of the bottom be x cm. Then , [(330 - 10) × (260 - 10) × (150 - x)] = 8000 × 1000 => 320 × 250 × (150 - x) = 8000 × 1000 => (150 - x) = 8000×1000/320= 100 => x = 50 cm = 5 dm. Answer: B The answer is: B

B

mathematics

If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)?

660660= 2^2 x 3^1 x 5^1 x 11^1 w < x < y < z = 2 < 3 < 5 < 11 So, can can say - w = 2 x = 3 y = 5 z = 11 Hence a = 2 , b = c = d = 1 (a + b) – (c + d) will be (2 + 1) – (1 + 1) = 1 Answer will be (C) The answer is: C

C

mathematics

A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 350 more than A :

Explanation: A B C investment 3x 4x 5x Rate of return 6y% 5y% 4y% Return \inline \frac{18xy}{100} \inline \frac{20xy}{100} \inline \frac{20xy}{100} Total = (18+20+20) = \inline \frac{58xy}{100} B's earnings - A's earnings = \inline \frac{2xy}{100} = 350 Total earning = \inline \frac{58xy}{100} = 10150 Answer: A) Rs.10150 The answer is: A

A

mathematics

A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many W apples did each person get before 45 people joined the feast?

Before solving it algebraically, let us prime factorize 1430 = 2*5*11*13. Since number of apples per person * total persons W= 1430, the answer should be a factor of 1430. Only C is. And that's your answer.C The answer is: C

C

mathematics

A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?

total transaction in two days = 4-2 = 2 feet in 16 days it will climb 16 feet on the 17th day , the snail will climb 4 feet , thus reaching the top therefore , total no of days required =17 ANSWER:C The answer is: C

C

mathematics

A starts business with Rs.3500 and after 10 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?

Explanation: A invested Rs.3500 for 12 months. Let B joined with investment x. And he invested for 12 - 10 = 2 months. So there profit ratio = (3500 × 12) : (2x) = 2 : 3 ⇒ x = 31500 Answer: D The answer is: D

D

mathematics

Which of the following are divisible by both 2 and 3? I. 234,124,422 II. 88,865,544,264 III. 5,555,554,678

III. is not divisible by 2 & 3 I. is divisible by 3 since sum of the digits is 24 , which is divisible by 3 II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3 Thus among the given options only (B) holds true. The answer is: B

B

mathematics

If six persons sit in a row, then the probability that three particular persons are always together is?

Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 Answer: C The answer is: C

C

mathematics

35.62 + 408.926 + 48.2 = ?

Explanation : 35.62 + 408.926 + 48.2 = 492.746. Answer : Option C The answer is: C

C

mathematics

On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 3 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?

T= the number of cups of tea C= the number of cups of hot chocolate T+C = 26 T-C=10 -> T= 18. C=8. Mo drinks 3 cups of tea a day then number of days that are not rainy = 18/3 = 6 So number of rainy days = 7-6 = 1 B is the answer. The answer is: B

B

mathematics

What is the are of an equilateral triangle of side 16 cm?

Area of an equilateral triangle = √3/4 S2 If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2; Answer: D The answer is: D

D

mathematics

A farmer grows Broccoli in his farm that is in the shape of a square. Each Broccoli takes 1 square foot of area in his garden. This year, he has increased his output by 101 Broccoli when compared to last year. The shape of the area used for growing the Broccoli has remained a square in both these years. How many Broccoli did he produce this year?

Explanatory Answer The shape of the area used for growing Broccoli has remained a square in both the years. Let the side of the square area used for growing Broccoli this year be X ft. Therefore, the area of the ground used for cultivation this year = X2 sq.ft. Let the side of the square area used for growing Broccoli last year be Y ft. Therefore, the area of the ground used for cultivation last year = Y2 sq.ft. As the number of Broccoli grown has increased by 101, the area would have increased by 101 sq ft because each Broccoli takes 1 sq ft space. Hence, X2 - Y2 = 101 (X + Y)(X - Y) = 101. 101 is a prime number and hence it will have only two factors. i.e., 101and 1. Therefore, 101 can be expressed as product of 2 numbers in only way = 101 * 1 i.e., (X + Y)(X - Y) = 101* 1 So, (X + Y) should be 101 and (X - Y) should be 1. Solving the two equations we get X = 51 and Y = 50. Therefore, number of Broccoli produced this year = X2 = 512 = 2601. Alternative Approach : Use answer choices The area in both the years are squares of two numbers. That rules out choice A,C and D. as 2400,1987 and 2000 are not the square of any number. Check Choice B: If this year's produce is 2601, last year's produce would have been 2601 - 101 = 2500 2500 is the square of 50. So, 2601 is the answer. Choice B The answer is: B

B