Question : Directions: In the following question a series is given, with one or more number(s) missing. Choose the correct alternative from the given ones that will complete the series. 7, 51, 8, 65, 9, ?
Option 1: 79
Option 2: 80
Option 3: 81
Option 4: 82
Correct Answer: 81
Solution : Given: 7, 51, 8, 65, 9, ?
Add 1 to the numbers at odd positions to get the next term at the odd position – 7 + 1 = 8; 8 + 1 = 9 Square the previous term and add natural numbers starting from 2 in decreasing order to get the numbers at the even position – 51→7 2 + 2 = 51 65→8 2 + 1 = 65 Thus, the missing number will be 9 2 + 0 = 81.
So, 81 is the missing number of the series. Hence, the third option is correct.
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