GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Nov 2019, 11:13 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?

Author Message
TAGS:

### Hide Tags

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

### Show Tags 00:00

Difficulty:   15% (low)

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

### HideShow timer Statistics

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

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

### Show Tags

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

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

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

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

### Show Tags

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

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

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