CMAT Logical Reasoning 3 — Questions and Answers
Question 1: 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 2: 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 3: 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 4: 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?
- B
- E (Correct answer)
- C
- D
Correct answer: E
Arranging based on the clues places E between B and D, making E occupy a central position.
Question 5: 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 6: 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 7: A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have exactly 2 faces painted?
- 12 (Correct answer)
- 8
- 6
- 24
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.
CMAT Logical Reasoning 3
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?