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Select the number from among the given options that can replace the question mark (?) in the following series. 20, 90, 210, 380, ?
Question

Select the number from among the given options that can replace the question mark (?) in the following series.
20, 90, 210, 380, ?

A.

600

B.

550

C.

620

D.

410

Correct option is A

Given series: 20, 90, 210, 380, ?

90 - 20 = 70

210 - 90 = 120

380 - 210 = 170

So, the differences between consecutive terms are: 70, 120, 170.

These differences are increasing by 50 each time:

120 - 70 = 50

170 - 120 = 50

Thus, the next difference should be:

170 + 50 = 220

Now, add 220 to the last term in the series (380):

380 + 220 = 600

Correct Answer is 600.

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