NIMCET 2014 — Reasoning PYQ

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Question

NIMCET 2014 — Reasoning PYQ

NIMCET | Reasoning | 2014

What is the number that comes next in the series?

1, 2, 3, 6, 11, 20, 37, 68, \dots

Choose the correct answer:

Explanation

Solution

Pattern Analysis:

The pattern followed in this series is that each subsequent number is the sum of the preceding three numbers. (Note: For the first few terms, the logic essentially starts working fully from the 4th term onwards).

Term 4: $1 + 2 + 3 = 6$
Term 5: $2 + 3 + 6 = 11$
Term 6: $3 + 6 + 11 = 20$
Term 7: $6 + 11 + 20 = 37$
Term 8: $11 + 20 + 37 = 68$

Calculation for the next term:

To find the next number in the series, we add the last three numbers:

20 + 37 + 68 = 125

Conclusion:

Hence, 125 will come next in the series.

Correct Option: 3 (125)