Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 28, 27, 31, 22, 38, 13, 49, ?
Option 1: 42
Option 2: 2
Option 3: 0
Option 4: 22
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Correct Answer: 0
Solution : Given: 28, 27, 31, 22, 38, 13, 49, ?
Subtract and add alternately the square of consecutive natural numbers – 28 – (1) 2 = 28 – 1 = 27 27 + (2) 2 = 27 + 4 = 31 31 – (3) 2 = 31 – 9 = 22 22 + (4) 2 = 22 + 16 = 38 38 – (5) 2 = 38 – 25 = 13 13 + (6) 2 = 13 + 36 = 49 49 – (7) 2 = 49 – 49 = 0
So, 0 is the missing number of the series. Hence, the third option is correct.
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