NIMCET 2012 — Reasoning PYQ

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Question

NIMCET 2012 — Reasoning PYQ

NIMCET | Reasoning | 2012

The missing number in the following series $6, 12, 21, \dots, 48$ is:

Choose the correct answer:

Explanation

1. Calculate the differences:

Difference between the 1st and 2nd term:

$12 - 6 = 6$
Difference between the 2nd and 3rd term:

$21 - 12 = 9$

2. Identify the pattern:

The differences are $6$ and $9$ . Notice that the difference is increasing by $3$ each time ( $6 + 3 = 9$ ).

Following this logic, the next difference should be:

9 + 3 = 12

3. Find the missing number:

Add the next difference ( $12$ ) to the 3rd term ( $21$ ):

\text{Missing Number} = 21 + 12 = 33

4. Verify the pattern:

If the pattern continues, the next difference should be $12 + 3 = 15$ .

Let's check if adding $15$ to our missing number ( $33$ ) results in the final term of the series ( $48$ ):

33 + 15 = 48

The pattern is verified as the result matches the last term in the series.

Conclusion:

The missing number in the series is $33$ .

Correct Option:

(b) $33$