Statement A (Assertion): If HCF of two numbers is 'p' and LCM is 'q', then is always a natural number.. Statement B (Reason): The HCF is always factor of LCM. e. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) f. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) g. Assertion (A) is true but reason (R) is false h. Assertion (A) is false but reason (R) is true.
Question
Statement A (Assertion): If HCF of two numbers is 'p' and LCM is 'q', then is always a natural number.. Statement B (Reason): The HCF is always factor of LCM. e. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) f. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) g. Assertion (A) is true but reason (R) is false h. Assertion (A) is false but reason (R) is true.
Solution
The statement seems to be incomplete. However, based on the given information, we can analyze as follows:
Statement A (Assertion): If HCF of two numbers is 'p' and LCM is 'q', then is always a natural number. This statement is incomplete. It seems like it's trying to say that the product of the HCF and LCM of two numbers is always a natural number, which is true.
Statement B (Reason): The HCF is always a factor of LCM. This statement is true. The highest common factor (HCF) of two numbers is always a factor of their least common multiple (LCM).
However, the reason (R) is not the correct explanation of assertion (A). The fact that the HCF is a factor of the LCM doesn't directly explain why the product of the HCF and LCM is always a natural number.
So, the correct answer would be: Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).
Similar Questions
Statement A (Assertion): The HCF of two numbers is 9 and their LCM is 2016. If one of the numbers is 306, then the other is 54. Statement B (Reason): For any positive integers a and b, we have: Product of two numbers = HCF x LCM a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) c. Assertion (A) is true but reason (R) is false d. Assertion (A) is false but reason (R) is true.
Statement A (Assertion): a, b, c are in AP if and only if 2b = a + c. Statement B (Reason): The sum of first n odd natural numbers is n². e. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion(A). f. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A). g. Assertion (A) is true but reason (R) is false. h. Assertion (A) is false but reason (R) is true.
Statement B (Reason): Any positive integer ending with the digit zero is divisible by 2 and 5 both. a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) c. Assertion (A) is true but reason (R) is false d. Assertion (A) is false but reason (R) is true
Statement B (Reason): √p+ √q is an irrational number, if p and q are prime natural number. a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) c. Assertion (A) is true but reason (R) is false d. Assertion (A) is false but reason (R) is true.
Directions: In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation ofassertion (A).(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation ofassertion (A).(c) Assertion (A) is true but reason (R) is false.(d) Assertion (A) is false but reason (R) is true.4. Assertion : Cell wall is a non-living part of the cell.Reason : It offers protection, definite shape and support. ( )5. Assertion- A cell of meristem tissue is very active.Reason- Meristem tissue is dividing tissue. ( )6. Assertion: Legumes increases the soil fertility.Reason: Microbes in the root nodules of leguminous plants fix atmospheric nitrogen
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.