Discussion
What should come in place of the question mark (?) in the given series? 4, 9, 25, 49, 121, ?
Answer: A
The next term is 169.
The terms are the squares of consecutive prime numbers: 22 = 4, 32 = 9, 52 = 25, 72 = 49 and 112 = 121. The next prime is 13, and 132 = 169.
196 is 14 squared, and 14 is not a prime. 179 and 324 are not squares of primes either.
The terms 4, 9, 25, 49 and 121 are the squares of 2, 3, 5, 7 and 11, which are consecutive primes. The prime after 11 is 13, because 12 is even. Squaring it gives 169. The number 196 is the square of 14, which is not prime, so it breaks the pattern.
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