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Select the number set from among the given options that can replace the question mark (?) in the following series. 4 : 9, 25 : 49, (?), 289 : 361
Question

Select the number set from among the given options that can replace the question mark (?) in the following series.
4 : 9, 25 : 49, (?), 289 : 361

A.

729 : 64

B.

225 : 245

C.

121 : 169

D.

49 : 216

Correct option is C

Given: 4 : 9, 25 : 49, (?), 289 : 361
Logic: The given numbers are the squares of the consecutive prime numbers (starting from 2).
4 : 9; (2)2^2 = 4, (3)2^2 = 9
25 : 49; (5)2^2​ = 25, (7)2^2​ = 49
Similarly, the next prime numbers are 11 and 13,.
So, (11)2^2 = 121, (13)2^2 = 169
289 : 361; (17)2^2 = 289, (19)2^2 = 361​
Therefore, 121 : 169 is the missing term.
Thus, the correct answer is (c).

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