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A jar is filled with 60 marbles. All the marbles in the jar are either

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A jar is filled with 60 marbles. All the marbles in the jar are either  [#permalink]

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New post 05 Nov 2017, 02:11
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98% (00:34) correct 3% (01:00) wrong based on 40 sessions

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A jar is filled with 60 marbles. All the marbles in the jar are either red or green. What is the smallest number of marbles that must be drawn from the jar in order to be certain that a red marble is drawn?

(1) The ratio of red marbles to green marbles is 2 : 1.
(2) There are 20 green marbles in the jar.

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Re: A jar is filled with 60 marbles. All the marbles in the jar are either  [#permalink]

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New post 07 Jan 2018, 10:34
A jar is filled with 60 marbles. All the marbles in the jar are either red or green. What is the smallest number of marbles that must be drawn from the jar in order to be certain that a red marble is drawn?

Red(x) + Green(y) = 60

we need to draw all the available green marble first to be 100% sure that next drawn marble is a red one : so the answer will be y + 1


(1) The ratio of red marbles to green marbles is 2 : 1.

x/y = 2/1 or x = 2y ; 3y = 60 ; y = 20 so answer = 21

(2) There are 20 green marbles in the jar ; y = 20 so y + 1 = 21 is the answer

Hence both the options are sufficient : D
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Re: A jar is filled with 60 marbles. All the marbles in the jar are either &nbs [#permalink] 07 Jan 2018, 10:34
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