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Question

Replace the ? with an appropriate number from the given alternatives.
25,49,89,145,217,(?)

A
305
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B
327
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C
309
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D
303
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Solution

The correct option is B 305
Given series is : 25,49,89,145,217,(?)
Rationale: Difference between the consecutive numbers is 24,40,56 and 72.These numbers are multiples of 4 and can be written as
24=46
40=410
56=414
72=418
We can observe that the multipliers increment by 4
Hence the next number(differentiating number) will be 422=88
So,the difference between 217 and the missing number of the series is 88 ==> the missing number is 217+88=305
Hence, option 'C' is correct.
204802_197158_ans.png

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