Question Details

79, 86, 97, 110, 127, 146, ?
Find the missing number in the following number series.

Options

A

160

B

156

C

169

D

172

E

181

Show Answer

Correct Answer :

Option C

169

Solution :

The correct answer is 169.

To find the missing number in the sequence, let us analyze the differences between consecutive terms:
First term = 79
Second term = 86
Third term = 97
Fourth term = 110
Fifth term = 127
Sixth term = 146

Let us calculate the difference between each term and the preceding one:
86-79=7
97-86=11
110-97=13
127-110=17
146-127=19

The differences between consecutive terms are:
7, 11, 13, 17, 19

We can observe that these differences (7, 11, 13, 17, 19) are consecutive prime numbers.
The next prime number in the sequence after 19 is 23.

Therefore, the next term in the number series is calculated by adding 23 to the last term (146):
146+23=169

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