Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
11, 36, ?, 121, 185, 266
Option 1: 68
Option 2: 72
Option 3: 70
Option 4: 63
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Correct Answer: 72
Solution :
Given:
11, 36, ?, 121, 185, 266
Add the square of the consecutive numbers, (starting from 5)
to the previous number to obtain the next number of the series.
11 + (5)
2
= 11 + 25 = 36;
36 + (6)
2
= 36 + 36 = 72;
72 + (7)
2
= 72 + 49 = 121;
121 + (8)
2
= 121 + 64 = 185;
185 + (9)
2
= 185 + 81 = 266
So, 72 is the missing number of the series. Hence, the second option is correct.
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