Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
121, 169, 289, ?, 529, 841
Option 1: 484
Option 2: 361
Option 3: 343
Option 4: 441
Correct Answer: 361
Solution :
Given:
121, 169, 289, ?, 529, 841
In the above-given series, determine the square of the consecutive prime numbers (starting from 11) to get the missing term of the series.
(11)
2
= 121; (13)
2
= 169; (17)
2
= 289; (19)
2
= 361; (23)
2
= 529; (29)
2
= 841
So, 361 is the missing number of the series. Hence, the second option is correct.
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