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What is the ratio of number of cups of flour to number of

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What is the ratio of number of cups of flour to number of [#permalink] New post 23 Mar 2011, 03:47
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Question Stats:

78% (01:24) correct 22% (01:06) wrong based on 18 sessions
What is the ratio of number of cups of flour to number of cups of sugar in a cake recipe?

1) The number of cups of flour required in the reciped is 250% of number of cups of sugar required.
2) 1.5 more cups of flour than cups of of sugar are required in the recipe

OA is provided.

[Reveal] Spoiler:
Why not D. I am not clear why option (2) cannot give the ratio.
[Reveal] Spoiler: OA
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Re: ratio of cups of flour to cups of sugar [#permalink] New post 23 Mar 2011, 03:53
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nikhilsrl wrote:
What is the ratio of number of cups of flour to number of cups of sugar in a cake recipe?

1) The number of cups of flour required in the reciped is 250% of number of cups of sugar required.
2) 1.5 more cups of flour than cups of of sugar are required in the recipe

OA is provided.

[Reveal] Spoiler:
Why not D. I am not clear why option (2) cannot give the ratio.


Let the number of cups of flour = F
Let the number of cups of sugar = S

Q: What is F/S=?

1.
F=2.5S
F/S=2.5
Sufficient.

2. F=1.5+S

Say; S=10; F=11.5
F/S = 11.5/10=1.15

S=100;F=101.5
F/S=101.5/100=1.015

Not Sufficient.

Ans: "A"
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Re: ratio of cups of flour to cups of sugar [#permalink] New post 23 Mar 2011, 20:23
From (1)

F/C = 250 % = 250/100, so enough (the ratio can be found = 2.5)

Sufficient

From (2)

F = C + 1.5

Ratio can't be found

So not sufficient

Answer - A
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Re: ratio of cups of flour to cups of sugar [#permalink] New post 23 Apr 2011, 15:01
following a 'don't solve' approach, we can see that the question is focused on ratios (i.e proportions of a mixture) and needs the relationship between flour and sugar to be expressed in terms of a multiplier, fraction, percentage or two fixed values for the quantities involved.

1) sets out a relationship between the only two ingredients of the mixture, based on percentages *sufficient*.

2) sets out a relationship on a numerical value. For a proportion this won't work, as 1.5 cups to 3 cups is a very different proportion to a possible 100 cups to 101.5 :) *insufficient*

A is your answer and hopefully without pausing to work out all the numbers you have banked yourself a minute or so extra for later in the quant section :) (though with your having a Q50, I'll be the one asking your advice!!) ;)
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Re: ratio of cups of flour to cups of sugar   [#permalink] 23 Apr 2011, 15:01
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