Cognizant Cognizant Problem Solving and Logical Reasoning

Question 1

In a series 2, 6, 12, 20, 30, what is the next number?

Accepted Answer

42

Answer

The differences between terms are 4, 6, 8, 10, so the next difference is 12, giving 30 + 12 = 42.

Question 2

If all Bloops are Razzles and all Razzles are Lazzles, which statement must be true?

Accepted Answer

All Bloops are Lazzles

Answer

Since Bloops → Razzles and Razzles → Lazzles, by transitivity all Bloops must be Lazzles.

Question 3

A train travels 60 km in 40 minutes. At the same speed, how far will it travel in 1 hour?

Accepted Answer

90 km

Answer

Speed = 60/40 = 1.5 km/min; in 60 minutes it covers 1.5 × 60 = 90 km.

Question 4

Which number should replace the '?' in: 4, 9, 25, 49, ?, 169

Accepted Answer

121

Answer

The series is squares of primes: 2²=4, 3²=9, 5²=25, 7²=49, 11²=121, 13²=169.

Question 5

If CLOCK is coded as KCOLC, how is TOWER coded?

Accepted Answer

REWOT

Answer

The code reverses the entire word: CLOCK reversed is KCOLC, so TOWER reversed is REWOT.

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