Numerical Reasoning Aptitude 5 — Questions and Answers
Question 1: A bag contains 4 red, 6 blue, and 5 green marbles. What is the probability of picking a blue marble at random?
- 2/5 (Correct answer)
- 1/3
- 3/5
- 6/11
Correct answer: 2/5
P(blue) = 6/15 = 2/5.
Question 2: A worker completes 3/8 of a task in 6 hours. At the same rate, how many hours will the full task take?
- 12
- 14
- 16 (Correct answer)
- 18
Correct answer: 16
6 hours covers 3/8, so full task = 6 / (3/8) = 6 x (8/3) = 16 hours.
Question 3: The price of a stock fell from $80 to $68. What is the percentage decrease?
- 12%
- 14%
- 15% (Correct answer)
- 17.6%
Correct answer: 15%
Decrease = 12; 12/80 x 100 = 15%.
Question 4: A square has an area of 196 sq cm. What is its perimeter?
- 48 cm
- 52 cm
- 56 cm (Correct answer)
- 64 cm
Correct answer: 56 cm
Side = square root of 196 = 14 cm; perimeter = 4 x 14 = 56 cm.
Question 5: A store bought 200 items at $4 each and sold all of them at $6.50 each. What was the total profit?
- $400
- $450
- $500 (Correct answer)
- $550
Correct answer: $500
Profit per item = $2.50; total profit = 200 x $2.50 = $500.
Question 6: Which value is closest to the square root of 200?
- 13.5
- 14.1 (Correct answer)
- 14.5
- 15.0
Correct answer: 14.1
14 squared = 196 and 15 squared = 225; the square root of 200 is approximately 14.14.
Question 7: A fundraiser collected $3,240 from 180 donors. If 60 additional donors each give the same average amount, what will the new total be?
- $4,100
- $4,320 (Correct answer)
- $4,620
- $4,780
Correct answer: $4,320
Average = $18; 60 x $18 = $1,080; new total = $3,240 + $1,080 = $4,320.
A bag contains 4 red, 6 blue, and 5 green marbles.
What is the probability of picking a blue marble at random?