Question

Which number replaces the question mark in the following series?
121, 169, 225, ?
A. 333
B. 269
C. 312
D. 289​

Answer 1

Answer:

(D) 289

Step-by-step explanation:

Given series is 121, 169, 225, _____

The sequence is:

11² = 121

13² = 169

15² = 225

So, 17² = 289

Therefore, the series is 121, 169, 225, 289 .

Answer 2

The correct answer is option (D) 289

Given:

121, 169, 225, ? is a number series

To find:

The number which replaces the question mark in the given series?

Solution:

Given series is 121, 169, 225, ?

If we see the given series we can observe the pattern as given below

⇒ 121 = 11 × 11

⇒ 169 = 13 × 13  

⇒ 225 = 15 × 15

So we can conclude that given series is squares of odd numbers from 11

⇒ 11², 13², 15², 17², 19²....

Therefore, the next number in series = 17² = 298

The correct answer is option (D) 289

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