CMAT Logical Reasoning — Questions and Answers
Question 1: In a row of 10 students, Priya is 4th from the left and Rahul is 6th from the right. How many students are between them?
Correct answer: 1
Priya is 4th from left; Rahul is 6th from right = 5th from left; students between positions 4 and 5 = 1 student.
Question 2: All managers are leaders. Some leaders are visionaries. Which conclusion is definitely true?
- All managers are visionaries
- Some managers are visionaries
- No manager is a visionary
- Some managers are leaders (Correct answer)
Correct answer: Some managers are leaders
Since all managers are leaders, it is definite that some managers are leaders.
Question 3: A clock shows 3:15. What is the angle between the hour and minute hands?
- 7.5° (Correct answer)
- 0°
- 15°
- 22.5°
Correct answer: 7.5°
At 3:15, minute hand is at 90° and hour hand is at 97.5°, giving a difference of 7.5°.
Question 4: If PENCIL is coded as 312456 and ERASER is coded as 378937, what is the code for NICER?
- 24538 (Correct answer)
- 45238
- 24578
- 45378
Correct answer: 24538
N=2, I=4, C=5, E=3, R=8 based on the given coding patterns.
Question 5: Pointing to a photograph, Amit says, 'She is the daughter of the only son of my grandfather.' How is the girl related to Amit?
- Sister (Correct answer)
- Cousin
- Niece
- Daughter
Correct answer: Sister
The only son of Amit's grandfather is Amit's father, so the girl is the daughter of Amit's father — making her Amit's sister.
Question 6: Find the odd one out: 36, 49, 64, 81, 100, 112
- 81
- 100
- 112 (Correct answer)
- 64
Correct answer: 112
All others are perfect squares (6², 7², 8², 9², 10²), but 112 is not a perfect square.
Question 7: In a certain code, 'ROAD' is written as 'URDG'. How is 'SWAN' written in that code?
- VZDQ (Correct answer)
- VZCQ
- UZBQ
- VBZQ
Correct answer: VZDQ
Each letter is shifted forward by 3 positions: S→V, W→Z, A→D, N→Q giving VZDQ.
Question 8: A train travels 60 km in the first hour, 80 km in the second hour, and 100 km in the third hour. What is the pattern and how far will it travel in the 4th hour?
- 120 km (Correct answer)
- 110 km
- 130 km
- 140 km
Correct answer: 120 km
The distance increases by 20 km each hour, so the 4th hour distance is 100 + 20 = 120 km.
Question 9: No flowers are fruits. All fruits are vegetables. Which conclusion is valid?
- No flowers are vegetables
- Some vegetables are not flowers (Correct answer)
- All vegetables are fruits
- Some flowers are vegetables
Correct answer: Some vegetables are not flowers
Since all fruits are vegetables, and no flowers are fruits, some vegetables (the fruits) are definitely not flowers.
Question 10: If the day before yesterday was Thursday, what day will it be the day after tomorrow?
- Monday (Correct answer)
- Tuesday
- Sunday
- Wednesday
Correct answer: Monday
If day before yesterday = Thursday, today = Saturday, and day after tomorrow = Monday.
Question 11: Six people A, B, C, D, E, F sit in a row. A is to the right of B, C is to the left of D, and E is between B and D. Who sits in the middle?
Correct answer: E
Arranging based on the clues places E between B and D, making E occupy a central position.
Question 12: Complete the series: 2, 6, 12, 20, 30, ?
- 42 (Correct answer)
- 40
- 44
- 38
Correct answer: 42
The pattern is n(n+1): 1×2, 2×3, 3×4, 4×5, 5×6, so the next term is 6×7 = 42.
Question 13: A statement: 'All cats are mammals' is followed by 'All mammals breathe air.' What can be concluded?
- All cats breathe air (Correct answer)
- All air-breathers are cats
- Some mammals are not cats
- Cats and mammals are the same
Correct answer: All cats breathe air
By the transitive property of syllogisms, if all cats are mammals and all mammals breathe air, then all cats breathe air.
Question 14: A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have exactly 2 faces painted?
Correct answer: 12
Exactly 2 faces painted = edge cubes (not corners); a 3×3×3 cube has 12 edges, each contributing 1 such cube = 12.
Question 15: If P means ÷, Q means ×, R means +, and S means −, what is 18 P 3 Q 4 R 5 S 2?
- 27 (Correct answer)
- 29
- 25
- 31
Correct answer: 27
Substituting: 18 ÷ 3 × 4 + 5 − 2 = 6 × 4 + 5 − 2 = 24 + 5 − 2 = 27.
Question 16: Find the missing number: 5, 11, 23, 47, ?
- 95 (Correct answer)
- 93
- 97
- 89
Correct answer: 95
Each term is 2× previous term + 1: 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.
Question 17: In a group, some people speak French, and all French speakers speak English. Can we conclude that all English speakers speak French?
- Yes, because they share English
- No, English speakers may not speak French (Correct answer)
- Yes, by logical equivalence
- Cannot be determined from the data
Correct answer: No, English speakers may not speak French
The statement 'all French speakers speak English' does not imply the reverse; there may be English speakers who don't know French.
Question 18: Water : Thirst :: Food : ?
- Hunger (Correct answer)
- Taste
- Nutrition
- Cooking
Correct answer: Hunger
Water satisfies thirst just as food satisfies hunger — the relationship is need-to-fulfillment.
Question 19: A man walks 5 km north, turns right and walks 3 km, turns right and walks 5 km. How far is he from the starting point and in which direction?
- 3 km East (Correct answer)
- 3 km West
- 5 km North
- 8 km South
Correct answer: 3 km East
He ends up 3 km east of the starting point after the north-east-south path cancels the vertical displacement.
Question 20: Statement: 'Either it will rain or the match will be played.' It did not rain. What follows?
- The match was played (Correct answer)
- The match was not played
- Both rain and match happened
- Nothing can be concluded
Correct answer: The match was played
In an 'either/or' (inclusive disjunction) when one option is false, the other must be true.
Question 21: Which of the following best completes the analogy? Doctor : Stethoscope :: Carpenter : ?
- Hammer (Correct answer)
- Blueprint
- Wood
- Nails
Correct answer: Hammer
A stethoscope is the primary tool of a doctor; a hammer is the primary tool of a carpenter.