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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.
Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.
- a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
- b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
- c)Assertion is true but Reason is false.
- d)Assertion is false but Reason is true.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
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 is 216.
Reason: If the sum of any number is divisible by 3, then the number must be divisible by 3.
Explanation:
To solve this problem, we need to understand the divisibility rule of 3. According to the rule, a number is divisible by 3 if the sum of its digits is divisible by 3.
Let's analyze the given options:
1. The number of 5-digit numbers that can be formed using the given digits with repetition is 6^5 = 7776, not 216. Therefore, this option is incorrect.
2. This option states that both the assertion and reason are true, but the reason is not the correct explanation of the assertion. However, the reason provided is indeed the correct explanation of the assertion. Therefore, this option is incorrect.
3. The assertion is true because we can form a 5-digit number using the given digits with repetition. However, the reason is also true. If the sum of the digits is divisible by 3, then the number itself is divisible by 3. Therefore, this option is incorrect.
4. This option states that the assertion is false but the reason is true. However, the assertion is indeed true. We can form a five-digit number using the given digits with repetition. Therefore, this is the correct option.
Therefore, option D is the correct answer.
In conclusion, the given assertion is true, and the reason provided is also true. The reason correctly explains why a five-digit number formed using the given digits with repetition is divisible by 3.
Reason: If the sum of any number is divisible by 3, then the number must be divisible by 3.
Explanation:
To solve this problem, we need to understand the divisibility rule of 3. According to the rule, a number is divisible by 3 if the sum of its digits is divisible by 3.
Let's analyze the given options:
1. The number of 5-digit numbers that can be formed using the given digits with repetition is 6^5 = 7776, not 216. Therefore, this option is incorrect.
2. This option states that both the assertion and reason are true, but the reason is not the correct explanation of the assertion. However, the reason provided is indeed the correct explanation of the assertion. Therefore, this option is incorrect.
3. The assertion is true because we can form a 5-digit number using the given digits with repetition. However, the reason is also true. If the sum of the digits is divisible by 3, then the number itself is divisible by 3. Therefore, this option is incorrect.
4. This option states that the assertion is false but the reason is true. However, the assertion is indeed true. We can form a five-digit number using the given digits with repetition. Therefore, this is the correct option.
Therefore, option D is the correct answer.
In conclusion, the given assertion is true, and the reason provided is also true. The reason correctly explains why a five-digit number formed using the given digits with repetition is divisible by 3.
Community Answer
In the following question, a Statement of Assertion (A) is given follo...
Total number of numbers are 5!-4! . 0+1+2+3+4+5=15 which is divisible by 3. so all numbers formed by a these digits are divisible by 3
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer?
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer?.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): 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(R) : If sum of any number is divisible by 3, then the number must be divisible by 3.a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.c)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer?.
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