HAST Quantitative Reasoning 3

Question 1

A sequence: 3, 6, 12, 24, 48. What is the next number?

Accepted Answer

96

Answer

Each term doubles the previous one; 48 × 2 = 96.

Question 2

If x + y = 20 and x − y = 4, what is the value of x?

Accepted Answer

12

Answer

Adding the two equations: 2x = 24, so x = 12.

Question 3

Three workers can complete a job in 12 days. How many days would 4 workers take to complete the same job?

Accepted Answer

9

Answer

Total worker-days = 3 × 12 = 36; with 4 workers: 36 ÷ 4 = 9 days.

Question 4

A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of picking a blue marble?

Accepted Answer

1/3

Answer

Total marbles = 3 + 4 + 5 = 12; probability of blue = 4/12 = 1/3.

Question 5

A rectangle has length 15 cm and width 8 cm. What is the length of its diagonal?

Accepted Answer

17 cm

Answer

Using Pythagoras: diagonal = √(15² + 8²) = √(225 + 64) = √289 = 17 cm.

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