# In the following question, a number series is given, after the number series, a number and then A, B, C, D and E are given. Complete the number series

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In the following question, a number series is given, after the number series, a number and then A, B, C, D and E are given. Complete the number series starting from the given number based on the pattern of the original number series and choose correct option.

 42 64 90 124 162 208 23 A B C D E

What will come in place of ‘C’?

1. 105
2. 101
3. 65
4. 104
5. None of these

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Correct Answer - Option 1 : 105

The pattern of the original number series is

⇒ 42

⇒ 42 + (11 × 2) = 64

⇒ 64 + (13 × 2) = 90

⇒ 90 + (17 × 2) = 124

⇒ 124 + (19 × 2) = 162

⇒ 162 + (23 × 2) = 208

According the pattern of the above series the number series starting from the given number would be as:

⇒ 23

⇒ A = 23 + (11 × 2) = 45

⇒ B = 45 + (13 × 2) = 71

⇒ C = 71 + (17 × 2) = 105

⇒ D = 105 + (19 × 2) = 143

⇒ E = 143 + (23 × 2) = 189

∴ The required number in place of ‘C’ would be 105.