Cognizant Aptitude Screening 3

Question 1

The average of 5 consecutive even numbers is 26. What is the largest number?

Accepted Answer

30

Answer

The middle number is 26; the five numbers are 22, 24, 26, 28, 30, so the largest is 30.

Question 2

P is 25% more efficient than Q. If Q alone can complete a job in 20 days, how many days does P alone take?

Accepted Answer

16 days

Answer

P's rate = 1.25 × (1/20) = 1/16, so P takes 16 days.

Question 3

Two numbers are in the ratio 3:5. If each is increased by 10, the ratio becomes 5:7. What are the numbers?

Accepted Answer

15 and 25

Answer

(3x+10)/(5x+10) = 5/7 → 21x+70 = 25x+50 → x=5; numbers are 15 and 25.

Question 4

Find the probability of drawing a red king from a standard deck of 52 cards.

Accepted Answer

1/26

Answer

There are 2 red kings in 52 cards; probability = 2/52 = 1/26.

Question 5

If the compound interest on ₹8000 at 10% per annum for 2 years is ₹X, find X.

Accepted Answer

₹1680

Answer

A = 8000×(1.1)² = 8000×1.21 = 9680; CI = 9680−8000 = 1680.

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