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# On Christmas, a class teacher gave a gift pack to each student present

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Intern
Joined: 30 Aug 2017
Posts: 14
On Christmas, a class teacher gave a gift pack to each student present  [#permalink]

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19 Oct 2017, 09:51
2
7
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:26) correct 39% (01:24) wrong based on 97 sessions

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On Christmas, a class teacher gave a gift pack to each student present in a class. Each pack had x chocolates, y biscuits and z toffees. How many students were there in the class?

(1) Each student received chocolates, biscuits and toffees in the ratio 1:2:4.

(2) The class teacher distributed a total of 7 chocolates, 14 biscuits and 28 toffees and the number of students present in the class was more than 1.
Intern
Joined: 18 Aug 2015
Posts: 17
Location: United States
GPA: 3.38
Re: On Christmas, a class teacher gave a gift pack to each student present  [#permalink]

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19 Oct 2017, 10:17
A little confused on why this is B. Can you please elaborate?
Intern
Joined: 30 Aug 2017
Posts: 14
On Christmas, a class teacher gave a gift pack to each student present  [#permalink]

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19 Oct 2017, 10:42
4
mcm2112 wrote:
A little confused on why this is B. Can you please elaborate?

Let total number of students be N.
⇒ Total number of chocolates, biscuits and toffees distributed by teacher will be Nx, Ny and Nz, respectively.

Considering statement 1:
Each student received chocolates, biscuits and toffees in the ratio 1 : 2 : 4.
⇒ y = 2x and z = 4x
i.e. total number of chocolates, biscuits and toffees distributed by teacher will be Nx, 2Nx and 4Nx respectively.

From above statement, it is impossible to determine the definite value of number of students present in the class.

Since we are not getting a definite answer from above statement, statement 1 itself is not sufficient to provide the answer.

Considering statement 2:
The class teacher distributed a total of 7 chocolates, 14 biscuits and 28 toffees and the number of students present in the class was more than 1.

⇒ Nx = 7, Ny = 14, and Nz = 28
Also N > 1

From the equation Nx = 7, it can be concluded that N is a factor of 7. Hence, the only value possible for N is 7 itself, as N > 1.

Since we are getting a definite answer from above statement, statement 2 itself is sufficient to provide the answer.

Anyone can find any error and please let us know.

Hope that helps
--------------------------

KUDOS IF IT HELPED ..
Intern
Joined: 11 Oct 2017
Posts: 25
GMAT 1: 560 Q38 V29
Re: On Christmas, a class teacher gave a gift pack to each student present  [#permalink]

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19 Dec 2017, 14:49
This question is a piece of cake if you read the stems carefully:

Question: Number of students.
Info: Ratios of Chocolate (x), (y) biscuits and (z) toffees.

1) Ratios => without total Numbers is useless.
Not Sufficient.

2) The class teacher distributed a total of 7 chocolates, 14 biscuits and 28 toffees and the number of students present in the class was more than 1.

First to notice, we got the total of chocolates, as chocolates are units that can't be dividided and 7 is prime number, this piece of information is very valuable, because the choices so far are 1 and 7 for the number of students. Then we know there are more than one Student. Only possible choice is 7.
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Re: On Christmas, a class teacher gave a gift pack to each student present  [#permalink]

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28 Mar 2019, 07:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On Christmas, a class teacher gave a gift pack to each student present   [#permalink] 28 Mar 2019, 07:39
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