NIMCET 2011 — Reasoning PYQ

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Question

NIMCET 2011 — Reasoning PYQ

NIMCET | Reasoning | 2011

Choose which pair of numbers carries next in the following sequence :
61, 57, 50, 61, 43, 36, 61

Choose the correct answer:

Explanation

1. Identify the Repeating Pattern:

The number $61$ is an interpolated constant. It appears after every two numbers to separate the decreasing series.

\mathbf{61}, 57, 50, \mathbf{61}, 43, 36, \mathbf{61}, \dots

2. Analyze the Decreasing Series:

Look at the numbers between the $61$ s:

First pair: $57, 50$
Second pair: $43, 36$

3. Calculate the Differences:

$57 - 7 = 50$
$50 - 7 = 43$
$43 - 7 = 36$

The pattern is a consistent subtraction of $7$ .

4. Find the Next Pair:

To find the next two numbers following the last $61$ :

First number: $36 - 7 = 29$
Second number: $29 - 7 = 22$

Correct Option: (d) $29, 22$