# Aptitude test series Set 6

1)   The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is

a. 76 years
b. 72 years
c. 78 years
d. None of these
 Answer  Explanation ANSWER: 76 years Explanation: No explanation is available for this question!

2)   A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?

a. 12 days
b. 3 days
c. 4 days
d. 6 days
 Answer  Explanation ANSWER: 3 days Explanation: More no of people: Less days (Inverse Relationship)More work: More days (Direct Relationship)Ratio is given:Persons: 1 :: 2Work 1 :: 1/2Time 12 :: xSolution of this can be explained by solving this ratio by the sort of relationships they possess with time.1*1/2*12 = 2*1*x=> x = 3 days

3)   Volume of a sphere with radius r is obtained by multiplying its surface area by r and a constant. Find the value of constant:

a. 3
b. 1/3
c. 4/3
d. 1
 Answer  Explanation ANSWER: 1/3 Explanation: Volume of a sphere: (4/3)* π*r3Area of a sphere: 4πr2 =>It is mentioned that surface area when multiplied by r and a constant gives Volume and value of constant is to be found.=> 4πr2*r*k= (4/3)* π*r3=>k=1/3

4)   The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of remaining 2 numbers?

a. 9
b. 10
c. 8
d. 9.5
 Answer  Explanation ANSWER: 9 Explanation: No explanation is available for this question!

5)   X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29?

a. 10056
b. 10001
c. 10056
d. 10057
 Answer  Explanation ANSWER: 10057 Explanation: No explanation is available for this question!

6)   A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?

a. Rs. 10
b. Rs. 12
c. Rs. 7.50
d. Rs. 5.50
 Answer  Explanation ANSWER: Rs. 10 Explanation: No explanation is available for this question!

7)   What is the true discount if a banker’s discount on a bill due 4 months hence is 420 at 15%?

a. 400
b. 410
c. 390
d. 380
 Answer  Explanation ANSWER: 400 Explanation: Using the formula:True Discount = (Banker’s Discount * 100 * 100)+ Total Rate=> True Discount = 420*100/100+15= 400Thus the true discount is Rs 100.

8)   Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?

a. 34.25
b. 35
c. 33.25
d. 34.25
 Answer  Explanation ANSWER: 34.25 Explanation: Average runs scored by Virat Kohli in 10 matches: Total runs scored/10—(1)Average runs scored by Virat Kohli in 6 matches: (Total runs in 6 matches)/6=> 42 = Runs/6=>252 runsUsing (1):=>38.9 = Runs/10=>389 runsRuns scored in rest 4 matches: 389 - 252 runs=> 137 runsAverage runs scored by Virat Kohli in 4 matches: 137/4 = 34.25 runs

9)   The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part.

a. 108
b. 86
c. 74
d. 92
 Answer  Explanation ANSWER: 108 Explanation: It is given that 243 has been divided into 3 numbers x y and z for instance.Second condition mentioned in the question is:=> x/3 = y/4 =z/2Clearly the biggest number is y. So let us solve w.r.t. y.=> x = 3y/4=> x =3z/2=> z = y/2=> x+y+z = 243=> y/2 + 3y/4 + y = 2439y/4 = 243=> 243*4/9=> 108

10)   If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?

a. Rs 2250
b. Rs 1550
c. Rs 450
d. Rs 900
 Answer  Explanation ANSWER: Rs 900 Explanation: It is given that business partnership is independent of time in this case as all the investors have invested their money for same amount of time.Let A’s capital be x, B’s capital be y and C’s capital be z.=>x+y+z = 4650=> 4x = 6y = 10z=>C’s share is z so let us solve the question w.r.t. z=>x = 5z/2=>y = 5z/3=>(5z/2)+(5z/3)+(z) = 4650=>31z = 4650*6=>z = 900

11)   Pipes A and B fill a tank in 5 and 6 hours respectively. Pipe C empties the tank in 12 hours, if you open all the three pipes together this tank will be filled in?

a. 3 9/17 hours
b. 4.5 hours
c. 1.25 hours
d. 4 7/17 hours
 Answer  Explanation ANSWER: 3 9/17 hours Explanation: It is given that Pipe A,B and C work simultaneously.Pipe A and B are filling the tank and Pipe C is emptying it.In 1 hour volume of tank filled by Pipe A: 1/5thIn 1 hour volume of tank filled by Pipe B: 1/6thIn 1 hour volume of tank emptied by Pipe C: 1/12thWorking together Pipe A B and C fill x volume of tank.=>1/x = (1/5)+(1/6)-(1/12)=>x=60/17 hours

12)   Two dice are tossed simultaneously. Find the probability that the total is a prime number.

a. 7/9
b. 5/12
c. 1/6
d. 5/9
 Answer  Explanation ANSWER: 5/9 Explanation: No explanation is available for this question!

13)   Simple interest at x% for x years will come out to be Rs x on a sum of Rs?

a. x
b. 100/x
c. 100/x2
d. 100x
 Answer  Explanation ANSWER: 100/x Explanation: Formula for Simple Interest: SI = Principal*Rate*TimeSI= xRate= x/100Time= x=> x= Principal*(x/100)*x=>Principal Amount= 100/x

14)   A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?

a. 175 days
b. 100 days
c. 90 days
d. None of these
 Answer  Explanation ANSWER: 175 days Explanation: No explanation is available for this question!

15)   300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?

a. 55 gm
b. 60 gm
c. 70 gm
d. 40 gm
 Answer  Explanation ANSWER: 60 gm Explanation: No explanation is available for this question!

16)   Find the sum of all 2 digit numbers divisible by 3.

a. 1665
b. 2008
c. 1600
d. 1565
 Answer  Explanation ANSWER: 1665 Explanation: No explanation is available for this question!

17)   A vehicle has an insurance of 4/5 of its original value. Premium on the vehicle at the rate of 1.3% amounts to 910 Rs. What is the original value of the vehicle?

a. 78,500
b. 82,500
c. 87,500
d. 90,000
 Answer  Explanation ANSWER: 87,500 Explanation: No explanation is available for this question!

18)   A sells a bicycle to B and makes a profit of 20%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.

a. 120
b. 125
c. 140
d. 150
 Answer  Explanation ANSWER: 150 Explanation: No explanation is available for this question!

19)   What is the sum of this series?
1, 3, 5, 7, 9, ...... 99.

a. 2500
b. 1500
c. 3500
d. None of the above
 Answer  Explanation ANSWER: 2500 Explanation: No explanation is available for this question!

20)   Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?

a. 99
b. 55
c. 132
d. 176
 Answer  Explanation ANSWER: 55 Explanation: No explanation is available for this question!