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# If there are only girl students in a class, is the number of students

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Math Expert
Joined: 02 Aug 2009
Posts: 5337

Kudos [?]: 6097 [1], given: 121

If there are only girl students in a class, is the number of students [#permalink]

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16 Oct 2017, 04:17
1
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Difficulty:

75% (hard)

Question Stats:

19% (00:30) correct 81% (00:54) wrong based on 46 sessions

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If there are only girl students in a class, is the number of students in the class less than 100?

(1) 49% of girls are above 15 years of age.
(2) 51 students are equal to or less than 15 years of age.
[Reveal] Spoiler: OA

_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6097 [1], given: 121

Manager
Joined: 05 Dec 2016
Posts: 248

Kudos [?]: 26 [0], given: 49

Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If there are only girl students in a class, is the number of students [#permalink]

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16 Oct 2017, 04:54
We need to discover whether number of girls is more than 100.
(1) this statement give us % age breakdown, however no info about absolute values. Insufficient.
(2) No information about other age categories. Insufficient.
(1)+(2)
51% of Total number = 51 girls equal or less 15 y.o., hence total number is 100.

Kudos [?]: 26 [0], given: 49

Intern
Joined: 25 Mar 2016
Posts: 37

Kudos [?]: 5 [0], given: 2

Location: India
Concentration: Finance, General Management
WE: Other (Other)
If there are only girl students in a class, is the number of students [#permalink]

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17 Oct 2017, 21:04
chetan2u wrote:
If there are only girl students in a class, is the number of students in the class less than 100?

(1) 49% of girls are above 15 years of age.
(2) 51 students are equal to or less than 15 years of age.

From the Statement 1 We can deduce that % of girls having age less than or equal to 15 is 51..
And from 2nd statement we can deduce that number of girls having age less than and equal to 15 is 51.

Let the total number of Girls be G

51/100 * G = 51

Therefor G=100

Kudos [?]: 5 [0], given: 2

Intern
Joined: 29 Mar 2016
Posts: 4

Kudos [?]: [0], given: 8

Re: If there are only girl students in a class, is the number of students [#permalink]

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17 Oct 2017, 23:21
A

S1 says (49/100)x(total) are above age 15 and it will be integer value

(49/100)x(total) will be integer for no value below 100

Kudos [?]: [0], given: 8

Math Expert
Joined: 02 Aug 2009
Posts: 5337

Kudos [?]: 6097 [0], given: 121

Re: If there are only girl students in a class, is the number of students [#permalink]

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18 Oct 2017, 04:25
Expert's post
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This post was
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chetan2u wrote:
If there are only girl students in a class, is the number of students in the class less than 100?

(1) 49% of girls are above 15 years of age.
(2) 51 students are equal to or less than 15 years of age.

Hi..

Remember we are dealing with INTEGERS only as students, girl, boy etc have to be complete integer

let's see the choices:-

(1) 49% of girls are above 15 years of age.
this means that the number of girls above > 15 years has to be 49 or a multiple of 49..
also $$\frac{49}{100}*g$$ will be an integer..
so g has to be min 100 or a multiple of 100
answer for " is the number of students in the class less than 100" is NO
sufficient

(2) 51 students are equal to or less than 15 years of age
from this we cannot say about total..
Insufficient

A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6097 [0], given: 121

Manager
Joined: 05 Dec 2016
Posts: 248

Kudos [?]: 26 [0], given: 49

Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If there are only girl students in a class, is the number of students [#permalink]

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18 Oct 2017, 04:27
Tricky one) Thanks for clarification!

Отправлено с моего iPhone используя GMAT Club Forum

Kudos [?]: 26 [0], given: 49

Re: If there are only girl students in a class, is the number of students   [#permalink] 18 Oct 2017, 04:27
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