Question

The number of multiples of 6 lying between 25 and 363 is ______.

Options

• 56

• 56.5

• 57

• 58

Answer 1

The number of multiples of 6 lying between 25 and 363 is 56.

Explanation:

• First term (a) = 30: This is the first multiple of 6 greater than 25.
• Last term (t_n) = 360: This is the largest multiple of 6 less than 363.
• Common difference (d) = 6: Since we are counting multiples of 6.

Your application of the formula tn = a + (n − 1) and the subsequent algebraic steps to find n = 56 are flawless. This matches Option (A) from the question.