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Q.

H.C.F. of two numbers is 23 and their product is 9522. How many such pairs of numbers can be formed? 

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a

3

b

2

c

4

d

1

answer is A.

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Detailed Solution

Let the number be 23x and 23y

Product of number = 9522

23x×23y=9522

xy=952223

xy=414

X and Y HCF must be 1

Pairsare(23,18)  (2,207)  (46,9)

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H.C.F. of two numbers is 23 and their product is 9522. How many such pairs of numbers can be formed?