Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
63, 64, 60, 69, 53, ?
Option 1: 77
Option 2: 76
Option 3: 88
Option 4: 78
Correct Answer: 78
Solution :
Given:
63, 64, 60, 69, 53, ?
In the above-given series, add and subtract alternately the square of the consecutive natural numbers.
63 + 1
2
= 63 + 1 = 64
64 – 2
2
= 64 – 4 = 60
60 + 3
2
= 60 + 9 = 69
69 – 4
2
= 69 – 16 = 53
53 + 5
2
= 53 + 25 = 78
So, 78 is the missing number of the series. Hence, the fourth option is correct.
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