Question

The total number of three digit numbers divisible by 3 or 5 is ____.

• A. 440
• B. 300
• C. 100
• D. 420

Answer 1

Answer:

D. 420

Solution:

Calculation:

The number which divisible by 3 $=\frac{Last~ term - First ~term}{3} +1=\frac{999-102}{3}+1=300$

The number which divisible by 5 $=\frac{Last~ term - First ~term}{5} +1=\frac{995-100}{5}+1=180$

The number which divisible by 15 $=\frac{Last~ term - First ~term}{15} +1=\frac{990-105}{15}+1=60$

So, the total number of three-digit numbers divisible by 3 or 5 = 300 + 180 - 60 = 420.

∴∴ The correct answer is 420.