Question

If the number \( 517*324 \) is completely divisible by 3, then the smallest whole number in the place of \(*\) will be ?

• A. \(2 \)
• B. \(3 \)
• C. \(4 \)
• D. \(5 \)

Hint:

Divisibility rule of 3: Sum up all the digits of the number. If the final sum is divisible by 3, then the entire number is divisible by 3. You can also eliminate digits that are already multiples of 3 (like 3) to speed up calculations!

Answer 1

The Correct Option is A

Step 1: Divisibility by 3.
Sum of digits $=22+x$ must be divisible by 3. Smallest $x$: $22+2=24$ is divisible. \[ \boxed{2} \]