Quant #4

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anirudhbhalotia: Master | Next Rank: 500 Posts; Posts: 123; Joined: Tue Nov 23, 2010 7:18 pmFollowed by: 4 members; Location: Mumbai, India; Thanked: 5 times

by anirudhbhalotia » Thu Nov 25, 2010 7:07 am

In this the correct answer is that each one is sufficient.

From option 1 we can find the no. of dogs.

But how to find the no. of dogs from option 2 alone?

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Source: Beat The GMAT — Quantitative Reasoning | Thu Nov 25, 2010 7:07 am

beat_gmat_09: Master | Next Rank: 500 Posts; Posts: 437; Joined: Sat Nov 22, 2008 5:06 amFollowed by: 1 member; Location: India; Thanked: 50 times; GMAT Score:580

by beat_gmat_09 » Thu Nov 25, 2010 9:28 am

It is given that 1/3 are dogs and 1/5 are birds
let total = x
option B - Tells us dogs are 20 more than birds
setup a equation 1/3(x) = Dogs ; 1/5(x) = Birds
1/3(x) = 20 + 1/5(x)
1/3(x) - 1/5(x) = 20
solve for x
2/15(x) = 20
x = 150
1/3(150) = dogs = 50

Hope is the dream of a man awake

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anirudhbhalotia: Master | Next Rank: 500 Posts; Posts: 123; Joined: Tue Nov 23, 2010 7:18 pmFollowed by: 4 members; Location: Mumbai, India; Thanked: 5 times

by anirudhbhalotia » Thu Nov 25, 2010 10:26 pm

beat_gmat_09 wrote:It is given that 1/3 are dogs and 1/5 are birds
let total = x
option B - Tells us dogs are 20 more than birds
setup a equation 1/3(x) = Dogs ; 1/5(x) = Birds
1/3(x) = 20 + 1/5(x)
1/3(x) - 1/5(x) = 20
solve for x
2/15(x) = 20
x = 150
1/3(150) = dogs = 50

Thanks!

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