Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
47, 48, 44, 53, 37, ?
Option 1: 52
Option 2: 64
Option 3: 62
Option 4: 55
Correct Answer: 62
Solution :
Given:
47, 48, 44, 53, 37, ?
In the above-given series alternately add and subtract squares of consecutive natural numbers to obtain the next number.
47 + 1
2
= 47 + 1 = 48; 48 – 2
2
= 48 – 4 = 44; 44 + 3
2
= 44 + 9 = 53; 53 – 4
2
= 53 – 16 = 37; 37 + 5
2
= 37 + 25 = 62
So, the next number of the series is 62. Hence, the third option is correct.
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