p1 and p2

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pappueshwar: Master | Next Rank: 500 Posts; Posts: 234; Joined: Fri Oct 01, 2010 7:28 pmFollowed by: 4 members; Location: chennai; Thanked: 5 times

by pappueshwar » Fri Mar 16, 2012 9:43 pm

If P1 and P2 are the populations and R1 and R2are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

(1) P1> P2
(2) R2 > R1

This is OG 12th edition question . OA IS C

[spoiler]Please assist me in knowing how both the statements are useful? i am able to make out that statements individually are NOT sufficient.[/spoiler]
the explanation given in OG is very confusing

thanks

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Source: Beat The GMAT — Data Sufficiency | Fri Mar 16, 2012 9:43 pm

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by Anurag@Gurome » Fri Mar 16, 2012 9:54 pm

pappueshwar wrote:If P1 and P2 are the populations and R1 and R2are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

(1) P1> P2
(2) R2 > R1

This is OG 12th edition question . OA IS C

[spoiler]Please assist me in knowing how both the statements are useful? i am able to make out that statements individually are NOT sufficient.[/spoiler]
the explanation given in OG is very confusing

thanks

(1) P1> P2 implies P1/P2 > 1 but no info on representatives; NOT sufficient.

(2) R2 > R1 implies R1/R2 < 1 but no info on populations; NOT sufficient.

Combining (1) and (2), P1/P2 > R1/R2 implies P1 : R1 > P2 : R2; SUFFICIENT.

The correct answer is C.

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by [email protected] » Sat Mar 17, 2012 5:11 am

If P1 and P2 are the populations and R1 and R2are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

(1) P1> P2
(2) R2 > R1

Yes the OA turns out to be C... try putting as many values of all the 4 things or parameters and you will find the answer...

They all turn out to be giving the same answer as the first ratio (P1/R1) > (P2/R2)

This is always proved in the above given two statements when taken together....

Hence the answer is C and not E....

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by GMATGuruNY » Sat Mar 17, 2012 7:15 am

pappueshwar wrote:If P1 and P2 are the populations and R1 and R2are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

(1) P1> P2
(2) R2 > R1

This is OG 12th edition question . OA IS C

[spoiler]Please assist me in knowing how both the statements are useful? i am able to make out that statements individually are NOT sufficient.[/spoiler]
the explanation given in OG is very confusing

thanks

Is P1/R1 > P2/R2?

Since this problem is restricted to positive integers, the question stem can be rephrased:

Is (P1)(R2) > (P2)(R1)?

Statement 1: P1>P2
Without knowing the relationship between R2 and R1, no way to determine whether (P1)(R2) > (P2)(R1).

Statement 2: R2>R1
Without knowing the relationship between P1 and P2, no way to determine whether (P1)(R2) > (P2)(R1).

Statements 1 and 2 combined:
Since each value on the left side (P1 and R2) is greater than the corresponding value on the right side (P2 and R1), (P1)(R2) > (P2)(R1).
SUFFICIENT.

The correct answer is C.

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pappueshwar: Master | Next Rank: 500 Posts; Posts: 234; Joined: Fri Oct 01, 2010 7:28 pmFollowed by: 4 members; Location: chennai; Thanked: 5 times

by pappueshwar » Sat Mar 17, 2012 9:59 am

thanks mitch...was waiting for ur explanation..

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mcdesty: Master | Next Rank: 500 Posts; Posts: 116; Joined: Wed Mar 14, 2012 1:02 pmFollowed by: 11 members; Thanked: 20 times; GMAT Score:760

by mcdesty » Tue Dec 18, 2012 2:28 pm

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