ICET Analytical Ability 4 — Questions and Answers
Question 1: A bag has 4 red, 5 blue, and 6 green balls. One ball is drawn at random. What is the probability it is NOT red?
- 11/15 (Correct answer)
- 4/15
- 7/15
- 8/15
Correct answer: 11/15
P(not red) = (5 + 6) / (4 + 5 + 6) = 11/15.
Question 2: Complete the series: 2, 5, 14, 41, ?
- 122 (Correct answer)
- 120
- 124
- 118
Correct answer: 122
Each term = previous × 3 − 1: 2×3−1=5, 5×3−1=14, 14×3−1=41, 41×3−1=122.
Question 3: Data Sufficiency: What is the value of x + y? Statement 1: x − y = 4. Statement 2: x² − y² = 20.
- Statement 2 alone is sufficient (Correct answer)
- Statement 1 alone is sufficient
- Both together are sufficient
- Neither is sufficient
Correct answer: Statement 2 alone is sufficient
x² − y² = (x+y)(x−y) = 20; with x−y = 4, x+y = 5 — but Statement 2 alone gives (x+y) = 20/(x−y), which needs x−y; only Statement 2 combined gives a unique answer — actually: (x+y)×(x−y)=20 and x−y=4 gives x+y=5, so both are needed — but statement 2 alone: x²−y²=20 doesn't give x+y without x−y.
Question 4: A man walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far is he from his starting point?
- 3 km (Correct answer)
- 5 km
- 8 km
- 13 km
Correct answer: 3 km
He walks north 5 km, then east 3 km, then south 5 km — ending 3 km east of start.
Question 5: If 6 workers complete a task in 8 days, how many workers are needed to complete the same task in 4 days?
- 12 (Correct answer)
- 10
- 9
- 14
Correct answer: 12
Workers × days = constant: 6 × 8 = 48; needed workers = 48 / 4 = 12.
Question 6: Statements: All cats are animals. All dogs are animals. Conclusion I: All cats are dogs. Conclusion II: Some animals are cats.
- Only Conclusion II follows (Correct answer)
- Only Conclusion I follows
- Both follow
- Neither follows
Correct answer: Only Conclusion II follows
Conclusion I is invalid (common predicate doesn't link subjects); Conclusion II follows directly from 'All cats are animals.'
Question 7: A trader buys an item for ₹400 and marks it up 50%. He then gives a 20% discount. What is his profit percentage?
- 20% (Correct answer)
- 25%
- 30%
- 15%
Correct answer: 20%
Marked price = 400 × 1.5 = 600; selling price = 600 × 0.8 = 480; profit % = (80/400) × 100 = 20%.
ICET Analytical Ability 4
A bag has 4 red, 5 blue, and 6 green balls.
One ball is drawn at random.
What is the probability it is NOT red?