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In the following question, select the missing number from the given series. 74, 61, 82, 53, 90, ?
Question

In the following question, select the missing number from the given series.
74, 61, 82, 53, 90, ?

A.

44

B.

40

C.

43

D.

45

Correct option is D


Given: 74, 61, 82, 53, 90, ?
74 → 61: Decrease by 13.
61 → 82: Increase by 21.
82 → 53: Decrease by 29.
53 → 90: Increase by 37.
It appears the differences alternate between decreasing and increasing, with the magnitude of change increasing by 8 each time.
Following this pattern:
The next step should be a decrease, and since the last difference was +37, the next difference should be -45.
Thus: 90 → 90 - 45 = 45
Correct Answer: (d) 45.

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