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R.K: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sun May 27, 2012 2:00 am

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by R.K » Mon May 28, 2012 8:07 am

If a and b are positive integers, then what is the ratio of a/b to its reciprocal?

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Source: Beat The GMAT — Problem Solving | Mon May 28, 2012 8:07 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Mon May 28, 2012 8:09 am

R.K wrote:If a and b are positive integers, then what is the ratio of a/b to its reciprocal?

Reciprocal of a/b = 1/(a/b) = b/a

Hence, ratio of a/b to b/a = (a/b)/(b/a) = (a*a)/(b*b) = aÂ²/bÂ²

Last edited by Anurag@Gurome on Mon May 28, 2012 9:19 am, edited 1 time in total.

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goelmaya: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Wed Feb 01, 2012 12:16 am

by goelmaya » Mon May 28, 2012 9:16 am

Anurag@Gurome wrote:
R.K wrote:If a and b are positive integers, then what is the ratio of a/b to its reciprocal?
Ratio of any non-zero number to its reciprocal is always 1.

Here, a/b is a non-zero quantity.
Reciprocal of a/b = 1/(a/b) = b/a

Hence, ratio of a/b to b/a = (a/b)/(b/a) = 1

how is it 1?

(a/b)/(b/a) = a^2/b,isn't it?

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Mon May 28, 2012 9:21 am

Edited the reply.

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R.K: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sun May 27, 2012 2:00 am

by R.K » Mon May 28, 2012 10:48 pm

but in my book, the answer is a^2/b^2
how is it possible????/

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GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770