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How many of the boys in a group of 100 children have brown hair? (1) O

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How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 30 Jul 2015, 10:38
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

77% (00:56) correct 23% (00:43) wrong based on 173 sessions

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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 30 Jul 2015, 10:50
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Bunuel wrote:
How many of the boys in a group of 100 children have brown hair?

(1) Of the children in the group, 60 percent have brown hair.
(2) Of the children in the group, 40 are boys.


Kudos for a correct solution.


Check the explanation in Picture attached

Answer: option E
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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 31 Jul 2015, 01:34
1
Bunuel wrote:
How many of the boys in a group of 100 children have brown hair?

(1) Of the children in the group, 60 percent have brown hair.
(2) Of the children in the group, 40 are boys.


Kudos for a correct solution.



IMO : E

Question Stem : Total number of children = 100

Statement 1: Of the children in the group, 60 percent have brown hair.

It tells 60 children have brown hair.
From this information we cannot infer how many boys are there and among those how many have brown hair.
Hence not suff

Statement 2: Of the children in the group, 40 are boys.

There are 40 boys and 60 girls.
This doesn't give any information about how many have got brown hair
Hence insuff


Combined:

40 boys and 60 girls
Total 60 children have brown hair.

Now
all the 60 girls might have the brown hair
Or
20 boys and 40 girls
Or
40 boys and 20 girls
and so on....
Hence not suff
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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 31 Jul 2015, 02:19
1
Stmt 1: This only tells us that 60 children (boys or girls or both) have brown hair. Nothing is known about no. of boys here.
Hence, INSUFFICIENT.
Stmt 2: This only tells us that there are 40 boys and 60 girls in the group. We do not know how many have brown hair.
Hence, INSUFFICIENT.
TOGETHER: We only know that 40 are boys, 60 are girls and 60/100 children have brown hair. We do not know the RATIO of Brown haired boys to brown haired girls.
Hence, INSUFFICIENT.

ANS: E
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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 06 Aug 2015, 00:11
1
Bunuel wrote:
How many of the boys in a group of 100 children have brown hair?

(1) Of the children in the group, 60 percent have brown hair.
(2) Of the children in the group, 40 are boys.[/i]


Ans: E

Solution: we need to find number of Boys with brown hairs in a group of 100 children.
1) of the 100, 60 have brown hairs. but we do not know the ration of boys and girls. we need to find exact number of boys who have brown has. [Not Sufficient]
2) of the Children 40 are boys. now we know the number of boys but this statement does not tell us anything about brown hair ratio among the boys. [Not Sufficient]

combining 1 and 2, it tell us there are 60 children who have brown hairs and there are 40 boys in the group. but these two does not provide any info from which we can deduct the exact number of boys with brown hairs.

Ans: E
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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 17 Aug 2015, 07:36
Bunuel wrote:
How many of the boys in a group of 100 children have brown hair?

(1) Of the children in the group, 60 percent have brown hair.
(2) Of the children in the group, 40 are boys.


Kudos for a correct solution.


OFFICIAL SOLUTION:

From statement (1), only the total number of children who have brown hair can be determined, so (1) alone is not sufficient. Therefore, the answer must be B, C, or E. Clearly (2) alone is not sufficient because nothing is said about brown hair. Therefore, the answer must be C or E. From statements (1) and (2) together, only the total number of children who have brown hair and the number of boys in the group are known. Thus, (1) and (2) together are not sufficient, and the best answer is E.
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Re: How many of the boys in a group of 100 children have brown hair? (1) O  [#permalink]

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New post 17 Oct 2019, 20:46
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Re: How many of the boys in a group of 100 children have brown hair? (1) O   [#permalink] 17 Oct 2019, 20:46
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