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What will come in place of the question mark (?) in the following numerical series?14, 19, 35, 59, ? 179, 299
Question

What will come in place of the question mark (?) in the following numerical series?
14, 19, 35, 59, ? 179, 299

A.

130

B.

132

C.

129

D.

131

Correct option is D

Given - 14, 19, 35, 59, ? 179, 299

  • First term: 14=22+1014 = 2^2 + 1014=22 + 10

  • Second term: 19=32+1019 = 3^2 + 1019= 32 + 10

  • Third term: 35=52+1035 = 5^2 + 1035= 52 + 10

  • Fourth term: 59=72+1059 = 7^2 + 1059= 72 + 10

Logic =  number = squares of prime numbers + 10

Step 1: Identify the pattern
The sequence of prime numbers used in the pattern is:
2,3,5,7,?
The next prime number after 7 is 11
Step 2: Apply the pattern
112+10=121+10=131
Step 3: Verify the subsequent terms
Let's check if the next terms follow the same pattern.
The next prime number after 11 is 13, so:
132+10=169+10=179
This matches the next term in the sequence.
Final Answer:
The missing term is 131.
Thus, the correct answer is (D) 131.

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