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Q.

Two positive numbers have their HCF as Question Image and their product as Question Image. Choose the correct option for the number of pairs possible for the given numbers.


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a

 Question Image

b

 Question Image

c

 Question Image

d

Question Image

answer is B.

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Detailed Solution

Concept: Let x and y be co-prime numbers, 12x and 12y, respectively.
The number 44 can be expressed as the product of two variables in three different ways, i.e., 144, 222, and 411.
Due to the relative primality of x and y, (x,y) can be either (1,44) or (4,11), but not both (2,22).
There are so two possible pairs.Hence, the correct answer is option (2) .[3]
 
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Two positive numbers have their HCF as and their product as . Choose the correct option for the number of pairs possible for the given numbers.