Question

The number of integers between 25 and 125, which are divisible by 6, is

• A. 15
• B. 14
• C. 16
• D. 18

Hint:

Use $\frac{last - first}{step} + 1$ to count evenly spaced numbers.

Answer 1

The Correct Option is C

Concept: Count multiples within a range. Explanation: Smallest multiple of 6 greater than 25: \[ 30 \] Largest multiple of 6 less than 125: \[ 120 \] Now count terms in A.P.: \[ 30, 36, 42, \dots, 120 \] \[ n = \frac{120 - 30}{6} + 1 = 15 + 1 = 16 \]