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JayPatadiya
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JayPatadiya
Is one of P or Q a fraction?

1. P^2 Q^3 = 6
2. P is a rational number.

I am getting answer from statement 1 as the value P should be 1/6 and Q shiuld be 6 in statement 1 in order to get answer of 6. However, OA given is E.

Posted from my mobile device

Nothing is given about \(P\) or \(Q\). So, they can be anything in the set of real numbers.
Point to note is that P and Q can be irrational.

Statement (1)
\(P\) and \(Q\) can take integers, fractions or irrational numbers to satisfy the equation. So, statement is insufficient.

Statement (2)
\(P\) is a rational number doesn't mean that it is a fraction. It can be an integer too.
Further, \(Q\) can be an integer, a fraction or an irrational number. So, statement is insufficient.

Statement (1) + Statement (2)
Still, \(Q\) can be a fraction or an irrational number. So, both statements together are insufficient.

So, answer is E.
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JayPatadiya
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JayPatadiya
Is one of P or Q a fraction?

1. P^2 Q^3 = 6
2. P is a rational number.

I am getting answer from statement 1 as the value P should be 1/6 and Q shiuld be 6 in statement 1 in order to get answer of 6. However, OA given is E.

Posted from my mobile device

Nothing is given about \(P\) or \(Q\). So, they can be anything in the set of real numbers.
Point to note is that P and Q can be irrational.

Statement (1)
\(P\) and \(Q\) can take integers, fractions or irrational numbers to satisfy the equation. So, statement is insufficient.

Statement (2)
\(P\) is a rational number doesn't mean that it is a fraction. It can be an integer too.
Further, \(Q\) can be an integer, a fraction or an irrational number. So, statement is insufficient.

Statement (1) + Statement (2)
Still, \(Q\) can be a fraction or an irrational number. So, both statements together are insufficient.

So, answer is E.

Thanks for helping, I got my mistake.
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JayPatadiya

Thanks for helping, I got my mistake.

You are welcome.

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