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# If Simon paid 25 cents for each orange and 15 cents for each

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Joined: 29 Nov 2012
Posts: 900
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Kudos [?]: 947 [0], given: 543

If Simon paid 25 cents for each orange and 15 cents for each [#permalink]

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19 Aug 2013, 05:59
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Difficulty:

55% (hard)

Question Stats:

57% (02:43) correct 43% (01:23) wrong based on 44 sessions

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If Simon paid 25 cents for each orange and 15 cents for each mango, then how many oranges did Simon buy?

1) Simon spent a total of $1.55 on his purchase of mango and oranges. 2) Simon bought fewer mango than oranges. [Reveal] Spoiler: OA _________________ Click +1 Kudos if my post helped... Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/ GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html Verbal Forum Moderator Joined: 10 Oct 2012 Posts: 630 Followers: 77 Kudos [?]: 1051 [1] , given: 136 Re: If Simon paid 25 cents for each orange and 15 cents for each [#permalink] ### Show Tags 19 Aug 2013, 06:07 1 This post received KUDOS fozzzy wrote: If Simon paid 25 cents for each orange and 15 cents for each mango, then how many oranges did Simon buy? 1) Simon spent a total of$1.55 on his purchase of mango and oranges.
2) Simon bought fewer mango than oranges.

From F.S 1, we know that $$0.25*o+0.15*m = 1.55 \to 5o+3m = 31$$.

We get integral solutions for o=2,m=7 and for o=5,m=2. Insufficient.

F.S 2 is clearly Insufficient.

Both taken together, we know that m<o. Thus, the no of oranges bought = 5.Sufficient.

C.
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Re: If Simon paid 25 cents for each orange and 15 cents for each   [#permalink] 19 Aug 2013, 06:07
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# If Simon paid 25 cents for each orange and 15 cents for each

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