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.
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.
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Check whether Statement–2 logically justifies Statement–1.
Updated On: Mar 20, 2026
- Statement–1 is true, Statement–2 is true, and Statement–2 is a correct explanation for Statement–1
- Statement–1 is true, Statement–2 is true, but Statement–2 is not a correct explanation
- Statement–1 is true, Statement–2 is false
- Statement–1 is false, Statement–2 is true
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
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.
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