Assertion: 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. Reason: If sum of digits of any number is divisible by 3 then the number must be divisible by 3 .

Question

Assertion: 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. Reason: If sum of digits of any number is divisible by 3 then the number must be divisible by 3 . (A) Assertion is correct, reason is correct; reason is a correct explanation for assertion. (B) Assertion is correct, reason is correct; reason is not a correct explanation for assertion (C) Assertion is correct, reason is incorrect (D) Assertion is incorrect, reason is correct.

Tardigrade Admin · Accepted Answer

Number form by using 1,2,3,4,5=5 !=120 Number formed by using 0,1,2,4,5 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/2719abdc9fd2507b89dd647eab8beba3-.png" /> Total number formed, divisible by 3 (taking numbers without repetition) =216 Statement 1 is false and statement 2 is true.

Q. Assertion : 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 $216$ .
Reason : If sum of digits of any number is divisible by $3$ then the number must be divisible by $3$ .

Assertion is correct, reason is correct; reason is a correct explanation for assertion.

Assertion is correct, reason is correct; reason is not a correct explanation for assertion

Assertion is correct, reason is incorrect

Assertion is incorrect, reason is correct.

Number form by using $1, 2, 3, 4, 5 = 5! = 120$
Number formed by using $0, 1, 2, 4, 5$

Total number formed, divisible by $3$
(taking numbers without repetition) $= 216$
Statement 1 is false and statement 2 is true.

Q. Assertion : 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. Reason : If sum of digits of any number is divisible by 3 then the number must be divisible by 3 .