Number series

PART-B

PART-B Unit I: Aptitude & Mental Ability

Number Series

15 Model Questions Ordered from Easy to Complex with Step-by-Step LaTeX Mathematical Solutions

Level 1: Easy

Direct AP, GP, Squares, Cubes & Prime Numbers (Questions 1 – 5)

Question 01
Find the next number in the series: \(4, 9, 14, 19, 24, \underline{\quad ? \quad}\)
(A) 27
(B) 28
(C) 29
(D) 30
Correct Answer: (C) 29
Explanation:
Common difference between consecutive terms is \(+5\): $$4 \xrightarrow{+5} 9 \xrightarrow{+5} 14 \xrightarrow{+5} 19 \xrightarrow{+5} 24 \xrightarrow{+5} \mathbf{29}$$ $$\text{Next term} = 24 + 5 = 29$$
Question 02
Find the missing number in the series: \(4, 9, 16, 25, 36, 49, \underline{\quad ? \quad}\)
(A) 56
(B) 64
(C) 72
(D) 81

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