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Bunuel
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Bunuel
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.

Hey Bunuel can you please post a proper explanation as to why Ans choice B is correct ?
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The main confusion is how 2nd option is sufficient.
It is given that the teacher distributed 7 chocolates, 14 biscuits and 28 toffees amongst the students.

Now, their can be only 2 ways to distribute them:
Case 1 : There is 01 student in the class and he gets the pack.

Case 2: There are 07 students in the class and each gets 1 chocolate, 2 biscuits and 14 toffees each(as the question clearly mentions that each pack contains x chocolates, y biscuits and z toffees).

Since option 2 mentions that no. of students is >1, therefore only case 2 is valid. So the statement is sufficient.
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sumitsarkar420 it is not given that all packets have equal number of chocolates biscuits and toffees
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1) This only gives us the ratio of chocolates to biscuits to toffees, there is no way to derive the total number of students from this information.

2) 7 chocolates, 14 biscuits, 28 toffees. We can see that there are two possible cases: either 1 student got 1 box with 7 chocolates, 14 biscuits and 28 coffees or 7 students each got a box with 1 chocolate, 2 biscuits, and 4 toffees. Since it says that there was more than 1 student in the classroom, the only possible cases is the second one.

B
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sumitsarkar420 it is not given that all packets have equal number of chocolates biscuits and toffees

I believe the stem tells us that the each box has chocolate biscuits and toffees in x:y:z ratio. This implies that they must be organized in such a way that they each have the same ratio in each box, so they must have an equal number of biscuits and toffees in each box so that the ratio is constant.
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Sorry, it is not mentioned in the stem that x:y:z must be integers! Therefore, candies can be split to smaller parts (fractions).
Consider statement (2):
1. Even if there 7 c, 14 b and 28 t
2. N>1

Why N could not be 2? so each pack will have 3.5 c, 7 b and 14 t?

Only when combined (1) and (2) we can conclude that the ratio is dealing with only integers and N=7.
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