Question

From the given options, find the pair which is like the given pair \( 8:4 \).

• A. 45:5
• B. 216:32
• C. 72:24
• D. 27:9

Hint:

In analogy questions, look for algebraic or exponential relationships beyond simple ratios.

Answer 1

The Correct Option is D

Step 1: Understand the base pair \(8:4\) 
Here, \( \frac{8}{4} = 2 \), so the ratio is 2:1. 
Step 2: Check each option. 
(1) \( \frac{45}{5} = 9 \) → not same.
(2) \( \frac{216}{32} = 6.75 \) → not same.
(3) \( \frac{72}{24} = 3 \) → not same. 
(4) \( \frac{27}{9} = 3 \) → closer but not same, but let's also look for other common relations.
Step 3: Think in terms of squares/cubes or other relations. 
Note: \( 8 = 2^3 \) and \( 4 = 2^2 \), i.e., cube and square of the same number. Check option (4): \( 27 = 3^3 \), \( 9 = 3^2 \) → same pattern! So, this is analogous.