Question : Directions: Select the option that will replace the question mark (?) in the given series.
48, 52, 61, 77, 102, ?
Option 1: 148
Option 2: 238
Option 3: 138
Option 4: 128
Correct Answer: 138
Solution :
Given:
48, 52, 61, 77, 102, ?
Add the square of the consecutive numbers in each number to obtain the next number.
48 + (2)
2
= 48 + 4 = 52
52 + (3)
2
= 52 + 9 = 61
61 + (4)
2
= 61 + 16 = 77
77 + (5)
2
= 77 + 25 = 102
102 + (6)
2
= 102 + 36 = 138
So, the missing number is 138. Hence, the third option is correct.
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