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# In 1942, was the number of people drafted to the army of Country X gre

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Joined: 02 Sep 2009
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In 1942, was the number of people drafted to the army of Country X gre  [#permalink]

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25 Oct 2016, 22:06
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Difficulty:

35% (medium)

Question Stats:

81% (01:23) correct 19% (01:34) wrong based on 40 sessions

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In 1942, was the number of people drafted to the army of Country X greater than three times the number of people drafted to the army of Country Y?

(1) In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.

(2) In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the draft to the army of Country Y.

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Re: In 1942, was the number of people drafted to the army of Country X gre  [#permalink]

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25 Oct 2016, 23:16
Bunuel wrote:
In 1942, was the number of people drafted to the army of Country X greater than three times the number of people drafted to the army of Country Y?

(1) In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.

(2) In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the draft to the army of Country Y.

is x>3y

(1) x=0.7 + Y

if y=0.1 then x=0.8
3y=0.3------>x>3y-------->Yes

If y=5 then x=5.7
3y=15---------->x<3y------->No
insuff...

(2) 300000=20x/100----->x=1500000
141000=30y/100-------->y=470000

we have unique values of x&y---------->sufficient

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Re: In 1942, was the number of people drafted to the army of Country X gre  [#permalink]

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18 Nov 2017, 16:02
1
Hi All,

We're asked if (in 1942) the number of people drafted to the army of Country X was GREATER than three times the number of people drafted to the army of Country Y. This is a YES/NO question and can be solved by focusing on the 'relationships' between the numbers involved.

1) In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.

The information in Fact 1 does NOT define the 'scale' of the difference. For example:
IF....
Y=1 and X=700,001 then the answer to the question is YES
Y=1,000,000 and X=1,700,000 then the answer to the question is NO
Fact 1 is INSUFFICIENT

2) In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the draft to the army of Country Y.

The information in Fact 2 helps us to define the EXACT number of people drafted into each army:

X --> 300,000 = (.2)(Total of X)
1,500,000 = X

Y --> 141,000 = (.3)(Total of Y)
1,410,000/3 = Y
470,000 = Y

Thus, we CAN answer the question (and the answer happens to be YES).
Fact 2 is SUFFICIENT

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Re: In 1942, was the number of people drafted to the army of Country X gre &nbs [#permalink] 18 Nov 2017, 16:02
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