Question

Choose that set of numbers from the alternatives that is similar to the given set. (9, 27, 81)

• A. (15, 52, 125)
• B. (12, 60, 98)
• C. (3, 12, 31)
• D. (12, 36, 108)

Hint:

Check if the numbers follow a power pattern, multiplication, or constant addition/subtraction for such number series questions.

Answer 1

The Correct Option is C

Given: \( (9, 27, 81) \) Observe the pattern: \[ 9 = 3^2,\quad 27 = 3^3,\quad 81 = 3^4 \] So the pattern is powers of 3, increasing order. Now look at the options: - (3) \(3^1 = 3,\ 3^2 + 3 = 9 + 3 = 12,\ 3^3 + 4 = 27 + 4 = 31\) This also shows a consistent pattern of increasing numbers with exponential logic. Others don’t follow a consistent power/multiplication pattern. Hence, option (3) is the correct match.