Aptitude model placement papers with solution - set 2

ANSWER: A. 700

Solution: A boat travels at the speed of 14 km/hr in still water.

=> Speed of stream = 1.2 kmph

=> Speed of boat downstream becomes 14 + 1.2 = 15.2 kmph

=> Speed of boat upstream becomes 14 - 1.2 = 12.8 kmph

Total time taken in the journey = Journey downstream + Journey upstream

Therefore, 4864(1/12.8 + 1/15.2) = 700 hours

ANSWER: B. 209

Solution: This solution can be determined by 2 ways. Include at least one boy in each group and make 4 cases. A simpler way would be finding out total ways of selecting 4 people from the total group and subtracting the case with no boy.

=> Group of 4 out of 10 children - Group of 4 out of 4 girls.

=> 10C4 - 4C4

=> 210 - 1

=> 209

ANSWER: A. 4% of A

Solution: It is given that B measures 20% of A

=> So, 20% of A = B or 20/100 * A = B - (1)

B% of 20= B/100 X 20= 2B/10 ---(2)

=> Now, B% of 20

Substituting (1) in (2) we get

2*(2A/10) / 10= 4A/100

Hence, B% of 20 = 4% of A

ANSWER: B. 2:1

Solution: Let us consider the relationships here:

Time and Profit ---------------Direct Relationship ---- More time More profit

Investment & Profit ------Direct Relationship ---- More investment More profit

Ratio of profit = Investment * Time of Investment

= 45000 * 12 : 30000 * 9

= 2:1

ANSWER: C. 29.16L

Solution: In regard to the problem let after n times liquid in the container is x and liquid removed is y

=>Liquid in container= x

=>Liquid removed= y

After one trial, quantity of pure liquid= x- (1-y/x)

After n trials quantity of pure liquid = x - (1 -y/x)n

Therefore, Putting the values ( x = 40L y = 4L N=3) and solving

=> 40- (1-4/40)3

= 29.16L

ANSWER: C. 16

Solution: According to the question let n be the number of articles.

=> Cost price of n articles = n

=> Selling price of n articles = 20

=> Profit % = 25%

=> Profit % = (SP - CP)/CP X 100

Putting the values in the formula

(20-n)/n x 100 = 25

=> 5n/4 = 20

=> n = 16

ANSWER: A. 7/8

Solution: It is given that 3 coins are tossed simultaneously.

=>Total outcomes when one coin is tossed=2

=>Total outcomes when 3 coins are tossed= 2ⁿ = 2 X 2 X 2

=8 outcomes

Favourable outcomes: TTH, THT, HTT, THH, THT,HHT,HHH=7

Therefore, Probability= 7/8

ANSWER: B. 8 hours

Solution: It is given that tank is filled in 2 hours. Let tank drain out in y hours

=> Part of the tank filled in one hour = 1/2
=> Part emptied in one hour by leak = 1/y
=>Part filled in one hour following leak = 1/ (8/3)

In one hour: 1/2 - 1/7 = 3/8

Therefore, Solving for y, y=8

ANSWER: B. 32m

Solution: This is a simple speed time problem. Given conditions:

=>Speed of P= 224/28 = 8m/s

=>Speed of Q=224/32 = 7m/s

=>Difference in time taken = 4 seconds

Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres