Cognizant Cognizant Problem Solving and Logical Reasoning 1 — Questions and Answers
Question 1: In a series 2, 6, 12, 20, 30, what is the next number?
- 40
- 42 (Correct answer)
- 44
- 46
Correct answer: 42
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?
- All Lazzles are Bloops
- All Bloops are Lazzles (Correct answer)
- All Razzles are Bloops
- No Lazzles are Bloops
Correct answer: All Bloops are Lazzles
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?
- 80 km
- 90 km (Correct answer)
- 100 km
- 120 km
Correct answer: 90 km
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
- 81
- 100
- 121 (Correct answer)
- 144
Correct answer: 121
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?
- REWOT (Correct answer)
- RETOW
- REWTO
- ROTEW
Correct answer: REWOT
The code reverses the entire word: CLOCK reversed is KCOLC, so TOWER reversed is REWOT.
Question 6: A and B can complete a job in 12 days together. A alone can do it in 18 days. How many days does B alone need?
- 24 days
- 30 days
- 36 days (Correct answer)
- 42 days
Correct answer: 36 days
B's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36, so B alone takes 36 days.
In a series 2, 6, 12, 20, 30, what is the next number?