Question

Q11. Which of the following HCF and LCM is a possible combination of two numbers?
(a) 4, 840
(b) 5,836
(c) 9,815
(d) 7,816​

Answer 1

Answer:

a) 4

b) 1

c) 1

d) 1

are the combination of two numbers

Answer 2

Answer:

(a)

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Step-by-step explanation:

HCF of 2 numbers is a factor of its LCM,

OR in other words

LCM of 2 numbers is a multiple of its HCF.

Therefore,the LCM should be divisible by its HCF.

In (a),

840 is divisible by 4

In (b),

836 is not divisible by 5

In (c),

815 is not divisible by 9

In (d),

816 is not divisible by 7

So only (a) is a possible combination.

Hence the correct answer is (a).