Question

How many even integers n, where 100 ≤ n ≤ 200, are divisible neither by seven nor by nine?

• A. 39
• B. 40
• C. 38
• D. 37
• E. 32

Hint:

For counting within a range, use the formula: Number of multiples of $k$ from $a$ to $b$ = $\left\lfloor \frac{b}{k} \right\rfloor - \left\lfloor \frac{a-1}{k} \right\rfloor$.

Answer 1

The Correct Option is D