Analytical Ability Flashcards

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?

Answer: 11/15

P(not red) = (5 + 6) / (4 + 5 + 6) = 11/15.

Complete the series: 2, 5, 14, 41, ?

Answer: 122

Each term = previous × 3 − 1: 2×3−1=5, 5×3−1=14, 14×3−1=41, 41×3−1=122.

Data Sufficiency: What is the value of x + y? Statement 1: x − y = 4. Statement 2: x² − y² = 20.

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.

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?

Answer: 3 km

He walks north 5 km, then east 3 km, then south 5 km — ending 3 km east of start.

If 6 workers complete a task in 8 days, how many workers are needed to complete the same task in 4 days?

Answer: 12

Workers × days = constant: 6 × 8 = 48; needed workers = 48 / 4 = 12.

Statements: All cats are animals. All dogs are animals. Conclusion I: All cats are dogs. Conclusion II: Some animals are cats.

Answer: Only Conclusion II follows

Conclusion I is invalid (common predicate doesn't link subjects); Conclusion II follows directly from 'All cats are animals.'

A trader buys an item for ₹400 and marks it up 50%. He then gives a 20% discount. What is his profit percentage?

Answer: 20%

Marked price = 400 × 1.5 = 600; selling price = 600 × 0.8 = 480; profit % = (80/400) × 100 = 20%.