Question 75

Logical Reasoning Pattern Series and Sequences Easy

Identify the missing number (?) from the following figure.

Question Image
(A) 12
(B) 16
(C) 18
(D) 20
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

Logic: The numbers in the figure follow a row-wise pattern where the middle number is derived from the outer numbers.

Formula:
\( \text{Middle Number} = 2 \times \left( \frac{\text{First Number}}{\text{Third Number}} \right) \)

Row 1:
Given numbers: 72, 24, 6
Check: \( 2 \times \frac{72}{6} = 2 \times 12 = 24 \). (Condition satisfied)

Row 2:
Given numbers: 96, 16, 12
Check: \( 2 \times \frac{96}{12} = 2 \times 8 = 16 \). (Condition satisfied)

Row 3:
Given numbers: 108, ?, 18
Apply logic: \( ? = 2 \times \frac{108}{18} \)
\( ? = 2 \times 6 \)
\( ? = 12 \)

Therefore, the missing number is 12.