Advertisements
Advertisements
प्रश्न
Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
पर्याय
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Assertions (A) is true but reason (R) is false.
Assertions (A) is false but reason (R) is true.
Advertisements
उत्तर
Assertions (A) is false but reason (R) is true.
Explanation:
Assertion: Given that, HCF = 5
LCM = 40
Product of numbers = 150
We know that,
HCF × LCM = Product of numbers
HCF × LCM = 5 × 40
= 200 is not equal to the product
So, Assertion is false
Reason: For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
Hence, Assertion is false but reason is true.
APPEARS IN
संबंधित प्रश्न
Express the number as a product of its prime factor:
140
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Determine the prime factorisation of each of the following positive integer:
45470971
Find the LCM and HCF of the following integers by applying the prime factorisation method:
40, 36 and 126
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
The product of two consecutive natural numbers is always ______.
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
