Question : Directions: Select the number that can replace the question mark (?) in the following series.
7, 11, 20, 36, 61, ?
Option 1: 97
Option 2: 99
Option 3: 95
Option 4: 94
Correct Answer: 97
Solution :
Given:
7, 11, 20, 36, 61, ?
Add the square of the consecutive numbers starting from 2 in each number to obtain the next number.
7 + (2)
2
= 7 + 4 = 11
11 + (3)
2
= 11 + 9 = 20
20 + (4)
2
= 20 + 16 = 36
36 + (5)
2
= 36 + 25 = 61
61 + (6)
2
= 61 + 36 = 97
So, the missing number is 97. Hence, the first option is correct.
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