Numerical Reasoning Random 5 — Questions and Answers
Question 1: A sequence follows the pattern: 3, 7, 15, 31, _. What is the next number?
- 55
- 59
- 61
- 63 (Correct answer)
Correct answer: 63
Each term is doubled and then 1 is added: 31×2+1 = 63.
Question 2: If x + y = 14 and x − y = 4, what is the value of x × y?
- 40
- 48
- 45 (Correct answer)
- 36
Correct answer: 45
Solving: x = 9, y = 5; product = 9 × 5 = 45.
Question 3: A 12% interest rate compounded annually yields how much on $5,000 after 2 years?
- $6,200
- $6,180
- $6,272 (Correct answer)
- $6,250
Correct answer: $6,272
$5,000 × 1.12² = $5,000 × 1.2544 = $6,272.
Question 4: A bag contains 4 red, 3 blue, and 5 green balls. What is the probability of randomly picking a blue ball?
- 3/11
- 1/4 (Correct answer)
- 3/14
- 3/12
Correct answer: 1/4
Total = 12; P(blue) = 3/12 = 1/4.
Question 5: In a number series 2, 6, 18, 54, ___, what is the missing term?
- 108
- 162 (Correct answer)
- 148
- 172
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
Question 6: If a square's side is increased by 50%, by what percentage does its area increase?
- 100%
- 125% (Correct answer)
- 150%
- 75%
Correct answer: 125%
New area = (1.5s)² = 2.25s²; increase = 125%.
Question 7: Two numbers are in the ratio 5:9. If their sum is 84, what is the larger number?
- 50
- 54 (Correct answer)
- 58
- 48
Correct answer: 54
Total parts = 14; larger = 9/14 × 84 = 54.
Numerical Reasoning Random 5
A sequence follows the pattern: 3, 7, 15, 31, _.
What is the next number?