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# If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?

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Math Expert
Joined: 02 Sep 2009
Posts: 59075
If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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29 Oct 2018, 22:11
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Difficulty:

15% (low)

Question Stats:

78% (01:03) correct 22% (01:28) wrong based on 58 sessions

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If $$pq \neq 0$$, and $$\frac{1}{p}=\sqrt{q}$$, what is the value of $$p$$?

A. $$q$$

B. $$\sqrt{q}$$

C. $$\frac{\sqrt{q}}{q}$$

D. $$\frac{1}{q}$$

E. $$\frac{1}{q^2}$$

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Senior Manager
Joined: 15 Feb 2018
Posts: 386
Re: If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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29 Oct 2018, 22:35
$$\frac{1}{p}$$=$$\sqrt{q}$$

$$\frac{1}{\sqrt{q}}$$=p

Now, we rationalise the denominator
$$\frac{√q}{\sqrt{q}}$$·$$\frac{1}{\sqrt{q}}$$=p

$$\frac{√q}{q}$$=p
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3142
If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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30 Oct 2018, 03:44

Solution

Given:
• pq ≠ 0
• $$\frac{1}{p} = √q$$

To find:
• The value of p

Approach and Working:
• We have, $$\frac{1}{p} = √q$$
• Reciprocal gives, $$p = \frac{1}{√q}$$
• Now, multiplying the numerator and denominator of RHS gives, $$p = \frac{√q}{q}$$

Hence, the correct answer is Option C

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If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?   [#permalink] 30 Oct 2018, 03:44
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