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# A teacher distributed a number of candies, cookies, and toffees among

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Joined: 02 Sep 2009
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A teacher distributed a number of candies, cookies, and toffees among  [#permalink]

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16 Oct 2018, 23:24
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:21) correct 48% (01:13) wrong based on 69 sessions

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A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?

(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.

(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees

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Re: A teacher distributed a number of candies, cookies, and toffees among  [#permalink]

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17 Oct 2018, 22:33
Bunuel wrote:
A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?

(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.

(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees

As per statment1 we know the ratio but do not know how many candies/Cookies/Toffees did each student receive. Hence NOT SUFFICIENT
Even Statement 2 just tells the ratio of the three items distributed (same as Statement 1) and says nothing about the actual number received by each student. Hence this too is NOT SUFFICIENT
Hence Answer Choice E is correct
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Re: A teacher distributed a number of candies, cookies, and toffees among  [#permalink]

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21 Oct 2018, 13:34
1
Bunuel wrote:
A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?

(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.

(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees

A is insufficient as its does not give any information on the number of students in the class.
B gives the total number of candies, cookies and toffees distributed but doesnt give information on how many of those did each get hence insufficient.
C is also insufficient as 27, 36 and 45 can be distributed in the ratio of 3:4:5 among 9 students with 3,4 and 5 each or among 3 students with 9,12 and 15 each.
Hence E is correct.
Re: A teacher distributed a number of candies, cookies, and toffees among   [#permalink] 21 Oct 2018, 13:34
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