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Q.

The product of two rational numbers is 

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a

A and B are correct

b

Always natural number

c

Always rational

d

May be integer

answer is D.

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Detailed Solution

For example,

23,57Q

Product =23×(57)=1021Q

Every integer is a rational number.

2,53Qproduct=2×(53)=103Q

2,4Qproduct=2×4=8Q

Since 8 integer and also a rational number.

i. 2,3Qproduct=2×3=6Q since 6 is natural number also. E
ii. 2,5Qproduct=2×5=10Q

But 10 is not natural number.

So, always natural number is incorrect.

Sometimes a natural number is correct

So, both a and b are correct

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