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 Your Progress

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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Let p = the product of all the odd integers between 500 and [#permalink]

Show Tags

12 Jun 2013, 08:11

1

This post received KUDOS

25

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

64% (01:42) correct
36% (01:52) wrong based on 423 sessions

HideShow timer Statistics

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of 1/p + 1/q?

A. 1/600q B. 1/359,999q C. 1,200/q D. 360,000/q E. 359,999q

Re: Let p = the product of all the odd integers between 500 and [#permalink]

Show Tags

04 May 2016, 19:37

fozzzy wrote:

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

oh wow..good question..requires some outside the box thinking... p=q/599*601

1/p + 1/q = p+q/pq

first thing: p+q q/599*601 + q = q+q(599*601)/599*601

pq = q^2/599*601

now

[q+q(599*601)/599*601] * [599*601/q^2]

we can simplify by 599*601 we get q+q(599*601)/q^2 we can factor out q in the numerator = q(1+599*601)/q^2 divide both sides by q 1+599*601/q 599*601 = (600-1)(600+1) = 359,999 we add one and get 360,000 now...final step 360,000/q

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

p = (501)(503)(505)...(597) q = (501)(503)(505)...(597)(599)(601) So, q = (p)(599)(601)

Re: Let p = the product of all the odd integers between 500 and [#permalink]

Show Tags

23 Mar 2017, 05:00

I am struggling a bit with this question. I do not understand how 359,999pq=p∗599∗601=p(600−1)(600+1)=p∗(360,000−1)=359,999p --> p=q359,999p=q359,999 .

This type of questions are just a big confusing in general. Any advice on where to revise this type of questions

I am struggling a bit with this question. I do not understand how 359,999pq=p∗599∗601=p(600−1)(600+1)=p∗(360,000−1)=359,999p --> p=q359,999p=q359,999 .

This type of questions are just a big confusing in general. Any advice on where to revise this type of questions

We applied there \((a-b)(a+b) = a^2 - b^2\), thus \((600-1)(600+1)=600^2 - 1^2=(360,000-1)\).

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

We are given that p = the product of the odd integers from 500 to 598, i.e., from 501 to 597 inclusive. We are also given that q = the product of the odd integers from 500 to 602, i.e., 501 to 601 inclusive.

Re: Let p = the product of all the odd integers between 500 and [#permalink]

Show Tags

16 Apr 2017, 19:46

fozzzy wrote:

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

We can solve this question using algebra:

p = (501)(503)...(595)(597). q = (501)(503)...(595)(597)(599)(601). The overlap between P and Q implies that q = (p)(599)(601)

We could do this with another set of numbers (p is the odd integers between 2 and 8, q is the odd integers between 2 and 12) p= 3 x 5 x 7 q=3 x 5 x 7 x 9 x 11

105= p (11)(9)

Anyways

The answer choices are in terms of a variable so are result must be in the form of P+q/pq

Re: Let p = the product of all the odd integers between 500 and [#permalink]

Show Tags

09 Jul 2017, 07:23

fozzzy wrote:

Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and 602. In terms of q, what is the value of \(\frac{1}{p}\)+ \(\frac{1}{q}\)?

A. \(\frac{1}{600q}\) B. \(\frac{1}{359,999q}\) C. \(\frac{1,200}{q}\) D. \(\frac{360,000}{q}\) E. \(359,999q\)

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Worried About IDIOMS?Here is a Daily Practice List: https://gmatclub.com/forum/idiom-s-ydmuley-s-daily-practice-list-250731.html#p1937393

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475