ICET Analytical Ability 4

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?

Accepted Answer

11/15

Answer

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

Question 2

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

Accepted Answer

122

Answer

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.

Accepted Answer

Statement 2 alone is sufficient

Answer

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?

Accepted Answer

3 km

Answer

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?

Accepted Answer

12

Answer

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

ICET - Integrated Common Entrance Test Practice Test

ICET - Integrated Common Entrance Test Practice Test

ICET Analytical Ability 4