Exercise 7G
Question 1
1. The LCM of two numbers is 864 and their HCF is 144 . If one of the number is 288 , then find the other number.
Question 2
2. The product of two numbers is 216 . If the HCF is 6 , then find their LCM.
Question 3
3. If the product of two co-prime numbers is 117 , then what is their LCM?
Multiple Choice Question (MCQs)
Tick (✔) the correct option
Question 4
4. The LCM and the HCF of two numbers are 4125 and 25 respectively. One number is 375 . By how much is the second number less than the first?
(a) 100
(b) 50
(c) 75
(d) 25
5. The LCM and the HCF of two positive numbers is 1000 and 50 respectively. Which of the following could be the pair of such numbers?
(a) 200 and 500
(b) 150 and 250
(c) 50 and 100
(d) 200 and 250
6. The HCF of two numbers is 8 , which one of the following can never be their LCM?
(a) 24
(b) 48
(c) 56
(d) 60
7. If a and b are two natural numbers such that their HCF is the same as their LCM, then which of the following is necessarily true?
(a) a=b=1
(b) a=b
(c) a divides b but $a \neq b$
(d) cannot be determined
8. If A, B and C are three numbers, such that L C M of A and B is B and L C M of B and C is C, then L C M of A, B and C is
(a) A
(b) B
(c) C
(d) $\frac{A+B+C}{3}$
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