Question Details

What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930

Options

A

60

B

75

C

90

D

105

E

250

Show Answer

Correct Answer :

Option C

90

Solution :

The correct answer is 90 (Option 3).

To find the number that replaces the question mark (?), let's analyze the pattern and relation between consecutive terms in the given series:

Series: 3, 6, 18, ?, 630, 6930

Let's look at the multiplication factor between each consecutive pair of numbers:

First term to second term:
3×2=6

Second term to third term:
6×3=18

We can observe that each term is being multiplied by consecutive increasing integers (×2, ×3, ×5, etc., which are prime numbers/increasing factors).

Following this pattern, the next multiplier after 3 should be 5:

Third term to fourth term (?):
18×5=90

Now, let's verify if 90 satisfies the remaining terms of the series:

Fourth term to fifth term:
90×7=630

Fifth term to sixth term:
630×11=6930

The sequence of multipliers is 2, 3, 5, 7, 11, which are prime numbers in increasing order.

Thus, the missing number in place of (?) is 90.

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