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M70-37

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M70-37  [#permalink]

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New post 04 Sep 2018, 02:36
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

40% (01:33) correct 60% (02:02) wrong based on 10 sessions

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Math Expert
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Re M70-37  [#permalink]

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New post 04 Sep 2018, 02:36
Official Solution:


We’ll go for LOGICAL because that is our first choice in Data Sufficiency.

In questions with equations and variables, we must check how much information we have and how much we are missing. (1) Knowing two percentages out of three (total number of redheads & redheaded girls) and the ratio between the totals out of which those percentages are taken is enough to find the third percentage. Sufficient! (B), (C) & (E) are eliminated. (2) With the total number of students we can find the number of boys, the number of girls, and the total number of redheaded students, but without any information on the composition of hair color in each gender, we cannot tell how many redheaded boys there are. (D) is eliminated.


Answer: A
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Re: M70-37  [#permalink]

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New post 12 Dec 2018, 09:53
can some explain me in equations ?
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Re: M70-37  [#permalink]

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New post 19 Jan 2019, 11:54
But the total no of red hair can only be found by the total no of students.
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Re: M70-37  [#permalink]

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New post 14 Jun 2019, 11:27
number of boys= twice of girls
27% of total number of students are Redheads.
need to find % of redhead boys.

statement 1 states 29% of girls are redheads.

let x be % of redhead boys.

xb+.29g=.27(b+g)
we know b=2g
x2g+.29g=.27(2g+g)
x2g+.29g= .27(3g)
x2g=.81g-.29g
x2g=.52g
x= .52g/2g
x=.26 or 26%


Statement 2: 600 students.
b= 400 g= 200
27% of 600= 162.
no info on how 162 is split between boys and girls.
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Re: M70-37   [#permalink] 14 Jun 2019, 11:27
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