ICET Analytical Ability 3 — Questions and Answers
Question 1: All roses are flowers. Some flowers fade quickly. Which conclusion definitely follows?
- Some roses may fade quickly (Correct answer)
- All roses fade quickly
- No roses fade quickly
- All flowers are roses
Correct answer: Some roses may fade quickly
Since some flowers fade quickly and roses are flowers, it is possible (but not certain) that some roses fade quickly.
Question 2: In a Venn diagram, set A has 30 elements, set B has 25 elements, and their intersection has 10 elements. How many elements are in A ∪ B?
- 45 (Correct answer)
- 55
- 35
- 65
Correct answer: 45
|A ∪ B| = |A| + |B| − |A ∩ B| = 30 + 25 − 10 = 45.
Question 3: If WATER is coded as 25-1-20-5-18, then what is the code for FIRE?
- 6-9-18-5 (Correct answer)
- 5-8-17-4
- 7-10-19-6
- 4-7-16-3
Correct answer: 6-9-18-5
Each letter is represented by its reverse alphabetical position (A=26, B=25... Z=1), but actually using standard position: F=6, I=9, R=18, E=5.
Question 4: Walking at 3/4 of his normal speed, a man arrives 20 minutes late. What is his normal travel time?
- 60 minutes (Correct answer)
- 45 minutes
- 80 minutes
- 30 minutes
Correct answer: 60 minutes
At 3/4 speed, time becomes 4/3 of normal, so extra time = (4/3 − 1) × normal = (1/3) × normal = 20 min, giving normal time = 60 min.
Question 5: Find the odd one out: 121, 144, 169, 196, 225, 250
- 250 (Correct answer)
- 225
- 196
- 169
Correct answer: 250
All others are perfect squares (11², 12², 13², 14², 15²) but 250 is not a perfect square.
Question 6: Five friends sit in a circle facing the center. A is to the left of B, C is to the right of D, and E is between A and D. Who is to the immediate right of B?
- C (Correct answer)
- D
- E
- A
Correct answer: C
Arranging the circle with given clues yields the order B-C-D-E-A (or equivalent), placing C immediately to B's right.
Question 7: 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 90° + 7.5° = 97.5°, so the angle between them is 7.5°.
All roses are flowers.
Some flowers fade quickly.
Which conclusion definitely follows?