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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