NIMCET 2021 — Reasoning PYQ

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Question

NIMCET 2021 — Reasoning PYQ

NIMCET | Reasoning | 2021

Insert the missing number 8, 7, 11, 12, 14, 17,17, 22,?

Choose the correct answer:

Explanation

Step 1: Divide the sequence into two sub-sequences

We can separate the numbers based on their positions (odd positions and even positions):

Sub-sequence 1 (Odd positions): $8, 11, 14, 17, \dots$
Sub-sequence 2 (Even positions): $7, 12, 17, 22, \dots$

Step 2: Analyze the patterns

Pattern for Sub-sequence 1:

The numbers increase by $3$ at each step:

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

Pattern for Sub-sequence 2:

The numbers increase by $5$ at each step:

7 + 5 = 12

12 + 5 = 17

17 + 5 = 22

Step 3: Find the missing number

The missing number is the $9^{th}$ term in the original sequence, which belongs to Sub-sequence 1. Following the pattern of adding $3$ to the previous term in that sequence ( $17$ ):

\text{Missing Number} = 17 + 3

\text{Missing Number} = 20

Final Answer:

The missing number is $20$ .