Aptitude model placement papers with solution - set 3

ANSWER: B. 50 years

Solution: According to the question current age of the man is:

1. 125% of his age 10 years ago

2. 83.333% of his age 10 years from now

Let the current age of the man be x.

Therefore, equating the two equations generated:

125/100(x-10) = 250/3(x+10)

x = 50

ANSWER: B. 30%

Solution: For a square plot of side 1 m, diagonal can be calculated by applying the Pythagoras theorem.

In this case diagonal = square root of sum of square of sides= √(1²) + (1²)
=√2

Therefore, Total distance saved by walking on the diagonal = 2m - √2m
% Distance saved= 2-√2 / 2 = 29.2% which approximately accounts for 30%

ANSWER: A. Rs 240

Solution: The above question is solved directly by concepts of banker’ discount.

i.e. Total Discount = √Present Worth + Banker’s Gain

So, Total Discount = √5760 + 10

=> 230 + 10

=> 240

ANSWER: A. 2 hr 30 min

Solution: Let the speed of stream be y and speed of boat in still water be x Now we know that speed= distance / time.

The boat travels 20 minutes downstream which means 1/3rd of an hour.

=> Boat speed upstream= 2/2= 1kmph -- (1)

=> Boat speed downstream = 1/(1/3) = 3 kmph – (2)

=> x + y = 3, x – y = 1

Solving these equations we get x = 2 and y = 1

Therefore, Speed of boat in still water = 2 kmph

=> Time taken to travel 5 km in stationary water = 5 / 2 = 2 hr 30 minutes

ANSWER: C. Saturday

Solution: The basic concept in a problem involving days is finding the number of odd days. In 61 days:

=> 7 x 8 + 5 = 5 odd days

=> Monday + 5 days = Saturday

Hence 61 days from today will be a Saturday.

ANSWER: B. 40

Solution: Let one cow eat one cane in x days.

=> By virtue of direct and indirect proportion:

Cows ↑ Days↓ (Indirect Proportion)

Cows ↑Canes↓ (Direct Proportion)

Cows Ratio: 40 : 1

SugarCane: 1:40 : : x : 40

=> 40 * 1*40 = x*40

x=40

ANSWER: A. 22

Solution: Every hour the hour hand and minute hand coincide once.

=> Every 12 hours hands should coincide 12 times

But in 11 to 1 the clock hands coincide once only at 12

Hence, in every 12 hours hands coincide 11 times.

Therefore, In 24 hours clock hands coincide 11 x 2 = 22 times.

ANSWER: C. 5%

Solution: Increase in population in 10 years= 262500-175000= 87500

Now, % increase will be increase in (population /original population) * 100

=> 87500/175000*100= 50% increase in population over 10 years

Therefore, Average % increase each year= 50/10= 5%

ANSWER: B. 75625

Solution: This question can be solved by 2 approaches:

=> Direct Multiplication

=> Numerical Operations

Direct multiplication is quite time consuming and involves a lot of calculations. An easier approach is based on numerical operations.

=> 121 x (10/2)⁴ = 121 x 10000/16 = 75625 (Lesser calculations, Saves time)

ANSWER: B. 52

Solution: This question contains two series’ running simultaneously:

=> The numbers in odd places are increasing by 8

2 + 8 = 10

10 + 8 = 18

18 + 8 = 26

=> The numbers in even places are increasing by 15

7 + 15 = 22

22 + 15 = 37

37 + 15 = 52

Therefore, Next number will be 37+15= 52