Question

Statement–1: A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5 with repetition. The total number formed are 216. Statement–2: If sum of digits of any number is divisible by 3 then the number must be divisible by 3.

• A. Statement–1 is true, Statement–2 is true, and Statement–2 is a correct explanation for Statement–1
• B. Statement–1 is true, Statement–2 is true, but Statement–2 is not a correct explanation
• C. Statement–1 is true, Statement–2 is false
• D. Statement–1 is false, Statement–2 is true

Hint:

Check whether Statement–2 logically justifies Statement–1.

Answer 1

The Correct Option is A

Step 1: Divisibility by 3 depends on sum of digits.
Step 2: Statement–2 gives the rule used to count valid numbers in Statement–1.
Step 3: Hence both are true and Statement–2 explains Statement–1.