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
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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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