Numerical series, also known as number series, is a sequence of numbers arranged in a specific pattern or sequence. The pattern or rule that governs the series can be based on various mathematical operations, such as addition, subtraction, multiplication, division, or a combination of these operations. The objective of a numerical series is to identify the underlying pattern and use it to find the missing or next number in the series.

## Number series – SET 1

### 2, 6, 12, 20, 30,?

a) 40

b) 42

c) 44

d) 46

### 3, 8, 15, 24, 35, ?

a) 48

b) 52

c) 56

d) 60

### 5, 10, 20, 40, 80, ?

a) 120

b) 130

c) 140

d) 150

### 12, 7, 8, 13, 27,?

a) 67.5

b) 89.5

c) 52.5

d) 66.5

### 1, 4, 9, 16,?

a) 25

b) 51

c) 101

d) 28

### 6, 13, 28, 59,?

a) 116

b) 119

c) 122

d) 125

### 21, 24, 29, 36, ?

a) 45

b) 48

c) 51

d) 54

### 8, 16, 32, 64,?

a) 112

b) 120

c) 128

d) 136

### 9, 11, 14, 18,?

a) 23

b) 24

c) 25

d) 26

### 144, 121, 100, 81,?

a) 64

b) 66

c) 68

d) 70

## Answers

Answer: b) 42

Explanation: The pattern is +4, +6, +8, +10, +12. Therefore, the next number is 30 + 12 = 42.

Answer: d) 60

Explanation: The pattern is +5, +7, +9, +11, +13. Therefore, the next number is 35 + 13 = 48.

Answer: c) 140

Explanation: The pattern is ×2, ×2, ×2, ×2, ×2. Therefore, the next number is 80 × 2 = 160.

Answer: a) 67.5

Explanation: The pattern is x 0.5 +1. x1+1, x1.5+1 so on…

Answer: a) 25

Explanation: The pattern is square

Answer: b) 119

Explanation: The pattern is +7, +15, +31, +63. Therefore, the next number is 59 + 63 = 122.

Answer: d) 54

Explanation: The pattern is +3, +5, +7, +9. Therefore, the next number is 36 + 9 = 45.

Answer: c) 128

Explanation: The pattern is ×2, ×2, ×2, ×2. Therefore, the next number is 64 × 2 = 128.

Answer: a) 23

Explanation: The pattern is +2, +3, +4, +5. Therefore, the next number is 18 + 5 = 23.

Answer: a) 64

Explanation: Square of numbers

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