# Aptitude test series Set 3

1)   Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?

a. 158 km
b. 150 km
c. 162 km
d. 148 km
 Answer  Explanation ANSWER: 150 km Explanation: No explanation is available for this question!

2)   John, Joni and Janardan start running at same time from the same point on a circular track of 70 meters radius. John and Joni run clockwise and Janardan runs
counter clockwise. If John meets Janardan every 66 seconds and Joni meets Janardan every 110 seconds, how frequently(in seconds) will John meet Joni?

a. 165q
b. 176
c. 330
d. 44
 Answer  Explanation ANSWER: 330 Explanation: No explanation is available for this question!

3)   Akash and Akshay are business partners. Akash invests Rs 35,000 for a period of 8 months and Akshay invests Rs 42,000 for a period of 10 months. Out of a total profit of Rs 31,570 what is Akash’s share?

a. Rs 12,420
b. Rs 18,040
c. Rs 18,942
d. Rs 12,628
 Answer  Explanation ANSWER: Rs 12,628 Explanation: For a given business profit is directly dependent upon the capital invested and the time of investment.=> Ratio of shares of Akash and Akshay becomes: (35,000*8)/(42,000*10) = 2/3=>% of profit belonging to Akash: 2/(3+2)*(31,570)=>Rs 12,768

4)   In what ratio must one add water to milk so as to gain 16.666% on the selling this mixture at the cost price?

a. 1:6
b. 1:3
c. 6:1
d. 3:1
 Answer  Explanation ANSWER: 1:6 Explanation: To start off this question let us assume that cost price of 1 litre milk is Rs 1Now need to make a mixture and sell this mixture at 1 Rs per litre such that the total gain on mixture is 16.667%.Therefore, CP of 1 litre of mixture becomes (quantity of milk)/ (quantity of mixture containing 1 L milk)*(price of 1 litre milk).=>(100/(100+50/3))*1=>CP of 1 litre milk of mixture: Rs 5/6As price of any amount of water is zero, and as 1 litre milk costs Rs 1.5/6litre of mixture will comprise entirely of cost of milk which means,1 litre of mixture will contain 5/6th amount of milk.=>Water is added in the ratio of (1-5/6)=1/6

5)   Ram can finish a puzzle in 3 hours and Shyam can do the same in 2 hours. Both of them finish the puzzle and get 15 candies. What is Ram’s share?

a. 3
b. 6
c. 11
d. 12
 Answer  Explanation ANSWER: 6 Explanation: The question is based on efficiency to do work.Ram can finish a puzzle in 3 hours. Shyam can finish the puzzle in 2 hours.=>In one hour Ram can finish 1/3rd of a puzzle=>In one hour Shyam can finish half the puzzleA total of 15 candies are to be shared amongst both of themHence Ram’s share must be = ((Work done by Ram in 1 hour)/(Work done by Shyam in one hour)+(Work done by Ram in hour))*15=> 1/3/((1/2)+(1/3))*15=> (1/3/(5/6))*15=> 6/15*(15)=>6 candies

6)   A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?

a. 32
b. 20
c. 24
d. 16
 Answer  Explanation ANSWER: 32 Explanation: Let cost price of lemons be x.Selling price of lemons becomes CP - loss.=>SP=x-(20/100)x=>40=x(80/100)=>50So 45 lemons cost Rs 50Cost of 1 lemon = 50/45 RsCost of 24 lemons = (50/45)*24 =80/3 RsSelling Price of 24 lemons =(80/3)+(20/100)(80/3)=Rs 32

7)   Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?

a. 48 meters
b. 58 meters
c. 54 meters
d. 60 meters
 Answer  Explanation ANSWER: 60 meters Explanation: No explanation is available for this question!

8)   Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes?

a. 5 minutes
b. 6 minutes
c. 8 minutes
d. 9 minutes
 Answer  Explanation ANSWER: 8 minutes Explanation: No explanation is available for this question!

9)   40 feet rope is cut into 2. One piece is 18 feet longer than the other. What is the length of the shorter piece?

a. 11
b. 12
c. 18
d. 22
 Answer  Explanation ANSWER: 11 Explanation: No explanation is available for this question!

10)   Find the odd man out:

5, 8, 20, 42, 124, 246

a. 20
b. 42
c. 124
d. 246
 Answer  Explanation ANSWER: 20 Explanation: The series is followed on the pattern of 2 alternate sequences with common formula being 2n-2 and 3n-2 respectively.8 = 2*5-222 = 3*8-242 = 22*2-2124 = 42*3-2246 = 124*2-2Hence, 20 is the odd no.

11)   A box has 10 black and 10 white balls. What is the probability of getting two balls of the same color?

a. 10/19
b. 9/38
c. 9/19
d. 5/38
 Answer  Explanation ANSWER: 9/19 Explanation: No explanation is available for this question!

12)   A dice is rolled twice. What is the probability of getting sum 9?

a. 2/3
b. 1/3
c. 1/9
d. 3/9
 Answer  Explanation ANSWER: 1/9 Explanation: Possible event = 6*6 = 36Favourable outcomes= {(3, 6), {4, 5}, {5, 4}, (6, 3)}Thus probability; favourable/total= 4/36=> 1/9

13)   (723+1992)2-(723-1992)2 / (723×1992)

a. 4
b. 5
c. 6
d. 7
 Answer  Explanation ANSWER: 4 Explanation: No explanation is available for this question!

14)   Given: b2 = ac and ax=by=cz.

Determine the value of y.

a. xz/(x+z)
b. xz/2(z-x)
c. 2xz/(x+z)
d. xz/2(x-z)
 Answer  Explanation ANSWER: 2xz/(x+z) Explanation: No explanation is available for this question!

15)   Find the natural number nearest to 9217 which completely divides 88 without giving any remainder.

a. 9240
b. 9064
c. 9184
d. 9152
 Answer  Explanation ANSWER: 9240 Explanation: These types of questions are to be solved by trial and error. Make sure minimum amount of time is wasted and your calculations are quick. Devote maximum 1 minute to such questions. Here in this case clearly 9240 is the closest number which divides 88.

16)   Sum of products of three numbers taken two at a time is 131. Sum of squares of the three numbers is 138. What is the sum of the three numbers?

a. 25
b. 30
c. 20
d. 22
 Answer  Explanation ANSWER: 20 Explanation: All the data given in the question points to the equation mentioned below:Considering the three numbers to be a,b and c:(a+b+c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca Accordingly, substitute for a, b and c and solve:=> a2+b2+c2= 138, ab+bc+ac = 131. Thus, 2(ab+bc+ac)= 2*131= 262(a+b+c)2= 138+262= 400.Therefore, a+b+c= 20

17)   Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. This cistern will be filled in half an hour if both the pipes are opened together initially and pipe B is then turned off after X minutes. What is X?

a. 10 minutes
b. 15 minutes
c. 12 minutes
d. 9 minutes
 Answer  Explanation ANSWER: 9 minutes Explanation: Let B be turned off after X minutes. Part of water will be filled by A + B in x minutes + After tap B is closed rest filled by A in (30-x) minutes = 1=> x/(time taken to fill the container by each separately) + 30 - x/(time taken to fill the container by A alone) = 1=> x(2/75 + 1/45) + (30-x)2/75 = 1=> 11x + 180 – 6x = 225 Therefore, x = 9 minutes

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

a. 2 kmph
b. 5 kmph
c. 4 kmph
d. 3 kmph
 Answer  Explanation ANSWER: 4 kmph Explanation: Simple Division. No stream current mentioned. Trick question. Speed= Distance/Time. Speed= 3/4 km / (11.25/60) hrTherefore, Speed = 4 km/hr

19)   A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is?

a. Rs 9040
b. Rs 8900
c. Rs 8920
d. Rs 9160
 Answer  Explanation ANSWER: Rs 8920 Explanation: Use the formula Amount = Principal Amount(1 + R/100)nWhere r is rate and t is time in years =>13,380 = P(1+R/100)2 --(1)=>20,070 = P(1+R/100)6 --(2)=> 1.5 = (1+R/100)4=> P = Rs 8920

20)   A,B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400 for 8 Months and C Rs.1000 for 10 months. They gain Rs.585 altogether. Find the share of B.

a. Rs. 195
b. Rs. 212
c. Rs. 225
d. Rs.252
 Answer  Explanation ANSWER: Rs.252 Explanation: No explanation is available for this question!