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Bunuel
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Hi everyone. Bunuel

I dont get why the correct answer would be option C, otherwise you would break the uniformity implied by Statement 1. “each student received... in the ratio 3:4:5” → implies they each received exactly some multiple of (3, 4, 5). Then we have 9 students

Thank you iin advance
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Redmaster2
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

Hi everyone. Bunuel

I dont get why the correct answer would be option C, otherwise you would break the uniformity implied by Statement 1. “each student received... in the ratio 3:4:5” → implies they each received exactly some multiple of (3, 4, 5). Then we have 9 students

Thank you iin advance

Not sure I follow what yo mean but the answer here is E.

There can be multiple valid distributions satisfying both statements. For example:

  • 3 students each getting 9 candies, 12 cookies, and 15 toffees
  • 9 students each getting 3 candies, 4 cookies, and 5 toffees

So, the number of students is not uniquely determined, which means E.
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Yeah, understood. Thanks a lot
Bunuel
Redmaster2
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

Hi everyone. Bunuel

I dont get why the correct answer would be option C, otherwise you would break the uniformity implied by Statement 1. “each student received... in the ratio 3:4:5” → implies they each received exactly some multiple of (3, 4, 5). Then we have 9 students

Thank you iin advance

Not sure I follow what yo mean but the answer here is E.

There can be multiple valid distributions satisfying both statements. For example:

  • 3 students each getting 9 candies, 12 cookies, and 15 toffees
  • 9 students each getting 3 candies, 4 cookies, and 5 toffees

So, the number of students is not uniquely determined, which means E.
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