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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.
  • 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 'B'. Can you explain this answer?
Verified Answer
On Christmas, a class teacher gave a gift pack to each student present...
Statement (1): Each student received chocolates, biscuits, and toffees in the ratio 1:2:4.
From this statement, we know that the ratio of chocolates to biscuits to toffees is 1:2:4. However, we don't have any specific values for x, y, or z. There are multiple possible combinations that satisfy this ratio, such as x = 1, y = 2, and z = 4 or x = 2, y = 4, and z = 8. Without more information, we cannot determine the exact values of x, y, and z or the number of students in the class. Statement (1) alone is not sufficient.
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.
From this statement, we have specific values for the total number of chocolates, biscuits, and toffees distributed. However, we still don't have enough information to determine the exact values of x, y, and z or the number of students in the class. The given values could be divided among different numbers of students that satisfy the conditions. For example, the values could be divided among 2 students, where each student receives 3 chocolates, 7 biscuits, and 14 toffees. Alternatively, they could be divided among 7 students, where each student receives 1 chocolate, 2 biscuits, and 4 toffees. Statement (2) alone is not sufficient.
Since neither statement alone is sufficient to answer the question, the correct answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Most Upvoted Answer
On Christmas, a class teacher gave a gift pack to each student present...
Statement (1): Each student received chocolates, biscuits, and toffees in the ratio 1:2:4.
From this statement, we know that the ratio of chocolates to biscuits to toffees is 1:2:4. However, we don't have any specific values for x, y, or z. There are multiple possible combinations that satisfy this ratio, such as x = 1, y = 2, and z = 4 or x = 2, y = 4, and z = 8. Without more information, we cannot determine the exact values of x, y, and z or the number of students in the class. Statement (1) alone is not sufficient.
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.
From this statement, we have specific values for the total number of chocolates, biscuits, and toffees distributed. However, we still don't have enough information to determine the exact values of x, y, and z or the number of students in the class. The given values could be divided among different numbers of students that satisfy the conditions. For example, the values could be divided among 2 students, where each student receives 3 chocolates, 7 biscuits, and 14 toffees. Alternatively, they could be divided among 7 students, where each student receives 1 chocolate, 2 biscuits, and 4 toffees. Statement (2) alone is not sufficient.
Since neither statement alone is sufficient to answer the question, the correct answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Community Answer
On Christmas, a class teacher gave a gift pack to each student present...
Understanding the Problem
To determine the number of students in the class, we need to analyze the information given in both statements.

Statement (1) Analysis
- Each student receives chocolates, biscuits, and toffees in the ratio of 1:2:4.
- Let the number of chocolates, biscuits, and toffees each student receives be represented as:
- Chocolates = x = k
- Biscuits = y = 2k
- Toffees = z = 4k
This statement alone does not provide the total number of students, as we do not know the total amounts of each item distributed.

Statement (2) Analysis
- The teacher distributed a total of:
- 7 chocolates
- 14 biscuits
- 28 toffees
- We need to find the number of students. Let's denote the number of students as 'n'.
Using the totals from statement (2):
- Each student gets 1 chocolate, 2 biscuits, and 4 toffees.
- Therefore:
- For chocolates: \( n \cdot 1 = 7 \) → \( n = 7 \)
- For biscuits: \( n \cdot 2 = 14 \) → \( n = 7 \)
- For toffees: \( n \cdot 4 = 28 \) → \( n = 7 \)
Since all calculations consistently result in 7 students, statement (2) alone is sufficient.

Conclusion
- Statement (1) does not provide specific quantities, so it is insufficient alone.
- Statement (2) clearly gives us the number of students, making it sufficient.
Thus, the correct answer is **(b)**: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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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.a)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 'B'. Can you explain this answer?
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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.a)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 'B'. 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 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.a)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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a)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 'B'. Can you explain this answer?.
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Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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.a)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 'B'. Can you explain this answer?, a detailed solution for 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.a)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 'B'. Can you explain this answer? has been provided alongside types of 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.a)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 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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.a)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 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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