OG 12, Q 38 (Ratios)

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rahul.s: Master | Next Rank: 500 Posts; Posts: 324; Joined: Thu Dec 24, 2009 6:29 am; Thanked: 17 times; Followed by:1 members

OG 12, Q 38 (Ratios)

by rahul.s » Sat Feb 06, 2010 7:10 am

If p1 and p2 are the populations and r1 and r2 are 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

OA: C

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Source: Beat The GMAT — Data Sufficiency | Sat Feb 06, 2010 7:10 am

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pm; Location: Gandhinagar; Thanked: 41 times; Followed by:2 members

by shashank.ism » Sat Feb 06, 2010 7:14 am

If p1 and p2 are the populations and r1 and r2 are 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

The answer is C.
the problem can be summarized as :
D1 D2
----------
p1 p2
r1 r2

so ratio for district D1 = p1/r1
ratio for district D2 = p2/r2

statement 1: p1 > p2 so we can't decide by this only if we don't know r1 and r2.
statement 2: r2 > r1 so we can't decide by this only if we don't p1 and p2.

now if we take both the conditions: p1>p2 and r2>r1.
so p1/r1>p2/r2.

so both statement gives sufficient conditions. hence ans is C.

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ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pm; Location: Arabian Sea; Thanked: 125 times; Followed by:2 members

by ajith » Sat Feb 06, 2010 9:12 am

rahul.s wrote:If p1 and p2 are the populations and r1 and r2 are 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

OA: C

The question is already posted do a search and find out who knows, you might find something good there also

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