Question

3 : 24 : : 5 : ?

• A. 120
• B. 45
• C. 124
• D. 27

Answer 1

Answer:

A. 120

In number analogy problems like $3 : 24 : : 5 : ?$

Pattern 1: Multiplication ($n \times 8$)

• $3 \times 8 = 24$

• Applying the same to 5: $5 \times 8 = \mathbf{40}$

Pattern 2: Cube and Subtraction ($n^3 - n$)

• $3^3 - 3 = 27 - 3 = 24$

• Applying the same to 5: $5^3 - 5 = 125 - 5 = \mathbf{120}$