Question 33

Select the number that can replace the question mark (?) in the following series.
50, 49, 53, 44, 60, 35, ?

Solution

The given series is 50, 49, 53, 44, 60, 35, ?

49 - 50 = -1

53 - 49 = 4

44 - 53 = -9

60 - 44 = 16

35 - 60 = -25

The difference between the numbers of the series are negative value and positive value of the squares of the consecutive numbers alternatively.

Similarly, the next difference should be 36.

Let the required number be a

$$\Rightarrow$$  a - 35 = 36

$$\Rightarrow$$  a = 36 + 35

$$\Rightarrow$$  a = 71

$$\therefore\ $$The required number is 71.

Hence, the correct answer is Option A


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