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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
(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
A teacher distributed a number of candies, cookies, and toffees among ...
Statement (1): The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.
From this statement alone, we know the ratio of candies, cookies, and toffees that each student received, but we don't know the total number of candies, cookies, and toffees distributed. Therefore, we cannot determine the number of students in the class. This statement alone is not sufficient to answer the question.
Statement (2): The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees.
From this statement alone, we know the total number of candies, cookies, and toffees distributed, but we don't know how many of each item each student received. Therefore, we cannot determine the number of students in the class. This statement alone is not sufficient to answer the question.
Statements (1) and (2) together:
Combining both statements, we know the ratio of candies, cookies, and toffees distributed, as well as the total number of each item. We can use this information to find the number of students in the class.
Let's assume the number of students is x.
According to statement (1), the ratio of candies, cookies, and toffees that each student received is 3:4:5. Therefore, the total number of candies distributed is 3x, the total number of cookies distributed is 4x, and the total number of toffees distributed is 5x.
According to statement (2), the total number of candies, cookies, and toffees distributed is 27, 36, and 45, respectively.
Setting up the ratios:
3x/27 = 4x/36 = 5x/45
Simplifying the ratios:
x/9 = x/9 = x/9
Since the ratios are equal, we can equate them to find x:
x = 9
Therefore, there were 9 students in the class.
Both statements together are sufficient to answer the question.
Therefore, the correct answer is option (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
From this statement alone, we know the ratio of candies, cookies, and toffees that each student received, but we don't know the total number of candies, cookies, and toffees distributed. Therefore, we cannot determine the number of students in the class. This statement alone is not sufficient to answer the question.
Statement (2): The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees.
From this statement alone, we know the total number of candies, cookies, and toffees distributed, but we don't know how many of each item each student received. Therefore, we cannot determine the number of students in the class. This statement alone is not sufficient to answer the question.
Statements (1) and (2) together:
Combining both statements, we know the ratio of candies, cookies, and toffees distributed, as well as the total number of each item. We can use this information to find the number of students in the class.
Let's assume the number of students is x.
According to statement (1), the ratio of candies, cookies, and toffees that each student received is 3:4:5. Therefore, the total number of candies distributed is 3x, the total number of cookies distributed is 4x, and the total number of toffees distributed is 5x.
According to statement (2), the total number of candies, cookies, and toffees distributed is 27, 36, and 45, respectively.
Setting up the ratios:
3x/27 = 4x/36 = 5x/45
Simplifying the ratios:
x/9 = x/9 = x/9
Since the ratios are equal, we can equate them to find x:
x = 9
Therefore, there were 9 students in the class.
Both statements together are sufficient to answer the question.
Therefore, the correct answer is option (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Community Answer
A teacher distributed a number of candies, cookies, and toffees among ...
Statement (1): The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.
This statement tells us the ratio of candies, cookies, and toffees that each student received, but it doesn't provide any information about the total number of candies, cookies, toffees, or students. Without knowing the total number of items distributed or the specific quantity received by each student, we cannot determine the number of students in the class. Therefore, statement (1) alone is not sufficient.
This statement tells us the ratio of candies, cookies, and toffees that each student received, but it doesn't provide any information about the total number of candies, cookies, toffees, or students. Without knowing the total number of items distributed or the specific quantity received by each student, we cannot determine the number of students in the class. Therefore, statement (1) alone is not sufficient.
Statement (2): The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees.
This statement provides information about the total number of candies, cookies, and toffees distributed by the teacher. However, it doesn't provide any information about the ratio or the number of students. Without the ratio of distribution or the specific quantity received by each student, we cannot determine the number of students in the class. Therefore, statement (2) alone is not sufficient.
This statement provides information about the total number of candies, cookies, and toffees distributed by the teacher. However, it doesn't provide any information about the ratio or the number of students. Without the ratio of distribution or the specific quantity received by each student, we cannot determine the number of students in the class. Therefore, statement (2) alone is not sufficient.
By considering both statements together, we still cannot determine the number of students. While statement (1) gives us the ratio of distribution and statement (2) gives us the total quantity distributed, we don't have enough information to calculate the exact quantity received by each student or the total number of students.
Therefore, when both statements are considered together, we still don't have enough information to determine the number of students in the class. Additional data is needed.
Hence, the answer is (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?
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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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
Solutions for 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 toffeesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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