Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
53, 54, 50, 59, 43, ?
Option 1: 68
Option 2: 61
Option 3: 18
Option 4: 58
Correct Answer: 68
Solution :
Given:
53, 54, 50, 59, 43, ?
In the above-given series, add and subtract alternately, the square of consecutive natural numbers to the numbers.
53 + (1)
2
= 53 + 1 = 54
54 – (2)
2
= 54 – 4 = 50
50 + (3)
2
= 50 + 9 = 59
59 – (4)
2
= 59 – 16 = 43
43 + (5)
2
= 43 + 25 = 68
So, the missing number is 68. Hence, the first option is correct.
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