Question Details

What should come in place of '?' in the given series?
34   58   106   202   394   ?

Options

A

778

B

792

C

774

D

798

Show Answer

Correct Answer :

Option A

778

Solution :

The correct answer is 778.

To find the missing number in the given series, let us analyze the pattern or difference between consecutive terms:

First term = 34
Second term = 58
Third term = 106
Fourth term = 202
Fifth term = 394

Let us look at the relationship between each consecutive pair of numbers:

34×210=6810=58

58×210=11610=106

106×210=21210=202

202×210=40410=394

Following the same pattern, to get the missing term ('?'):

394×210=78810=778

Alternatively, looking at the differences between adjacent terms:
58 - 34 = 24
106 - 58 = 48 (24 × 2)
202 - 106 = 96 (48 × 2)
394 - 202 = 192 (96 × 2)

The next difference should be:
192 × 2 = 384

Adding 384 to the last term gives:
394+384=778

Thus, the number that comes in place of '?' is 778.

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