| Assertion (A): For any two positive integers a and b, \[HCF(a,b)\times LCM(a,b)=a\times b.\] |
| Reason (R): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40. |
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 but 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
Correct Answer: C
Solution :
| Sol. [c] We have, \[LCM(a,b)\times HCF(a,b)=a\times b\] |
| \[LCM\times 5=150\] |
| \[LCM=\frac{150}{5}=30\] |
| \[LCM=30\] |
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