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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.
Reason (R): The product of two consecutive integrals is a multiple of 2.
- a)Both A and R are true and R is the correct explanation for A.
- b)Both A and R are true and R is not correct explanation for A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
15 and 20 are the correct two successive positive integral multiples whose product is 300. So, this Assertion is true.
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The reason is also true as n(n+1) is divisible by 2 always for all natural number n.
Therefore, Both A and R are true and R is not correct explanation for A.
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Explanation:
To solve this question, we need to analyze both the assertion and reason statements given.
Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.
Reason (R): The product of two consecutive integrals is a multiple of 2.
Let's analyze each statement separately:
Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.
To find the two numbers, we need to find two successive positive integral multiples of 5 whose product is 300.
The possible pairs of numbers that can be multiplied to get 300 are:
1 x 300
2 x 150
3 x 100
4 x 75
5 x 60
6 x 50
10 x 30
12 x 25
15 x 20
Among these pairs, the only pair with successive positive integral multiples of 5 is 15 x 20. Hence, the two numbers are 15 and 20.
Reason (R): The product of two consecutive integrals is a multiple of 2.
This statement is true because when we multiply any two consecutive integers, one of them will always be even. For example, if we consider the numbers 3 and 4, 3 is odd and 4 is even. So, the product of 3 and 4 is 12, which is a multiple of 2.
Similarly, if we consider any other pair of consecutive integers, one of them will always be even, resulting in a product that is a multiple of 2.
Conclusion:
From the analysis of both the assertion and reason statements, we can conclude that both A and R are true, but R is not the correct explanation for A. The reason provided does not directly explain why the two numbers in the assertion are 15 and 20.
To solve this question, we need to analyze both the assertion and reason statements given.
Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.
Reason (R): The product of two consecutive integrals is a multiple of 2.
Let's analyze each statement separately:
Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.
To find the two numbers, we need to find two successive positive integral multiples of 5 whose product is 300.
The possible pairs of numbers that can be multiplied to get 300 are:
1 x 300
2 x 150
3 x 100
4 x 75
5 x 60
6 x 50
10 x 30
12 x 25
15 x 20
Among these pairs, the only pair with successive positive integral multiples of 5 is 15 x 20. Hence, the two numbers are 15 and 20.
Reason (R): The product of two consecutive integrals is a multiple of 2.
This statement is true because when we multiply any two consecutive integers, one of them will always be even. For example, if we consider the numbers 3 and 4, 3 is odd and 4 is even. So, the product of 3 and 4 is 12, which is a multiple of 2.
Similarly, if we consider any other pair of consecutive integers, one of them will always be even, resulting in a product that is a multiple of 2.
Conclusion:
From the analysis of both the assertion and reason statements, we can conclude that both A and R are true, but R is not the correct explanation for A. The reason provided does not directly explain why the two numbers in the assertion are 15 and 20.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The product of two successive positive integral multiples of 5 is 300, then the two numbers are 15 and 20.Reason (R): The product of two consecutive integrals is a multiple of 2.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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