Odd man out and series

(61) Which number does not belong in the series: 14, 22, 32, 44, 58, 74, 92?

• (a) 32
• (b) 44
• (c) 58
• (d) 74

Answer

Correct Answer: (d) 74
The pattern is adding consecutive even numbers: 8, 10, 12, 14, 16, 18, …
The number 74 does not fit this pattern.

(62) Look at this series: 3, 6, 9, 15, 24, … What number should fill the blank?

• (a) 30
• (b) 27
• (c) 36
• (d) 36

Answer

Correct Answer: (d) 36
This is a series where each number is the product of consecutive natural numbers: 1×3, 2×3, 3×3, 4×3, 5×3, 6×3, …
The next number should be \(7×3 = 21\), and adding it to 24 gives 36.

(63) Which number does not belong in the series: 17, 25, 41, 49, 65, 73, 89?

• (a) 25
• (b) 49
• (c) 65
• (d) 89

Answer

Correct Answer: (d) 89
The pattern is adding consecutive prime numbers: 2+15, 3+22, 5+36, 7+42, 11+54, 13+60, …
The number 89 does not fit this pattern.

(64) Look at this series: 2, 4, 9, 16, 25, … What number should fill the blank?

• (a) 32
• (b) 36
• (c) 49
• (d) 36

Answer

Correct Answer: (d) 36
This is a series of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, …
The next number should be \(6^2 = 36\).

(65) Which number does not belong in the series: 8, 17, 26, 35, 45, 53, 62?

• (a) 26
• (b) 35
• (c) 45
• (d) 53

Answer

Correct Answer: (d) 53
The pattern is adding consecutive prime numbers: 9, 9, 9, 10, 9, 8, …
The number 53 does not fit this pattern.