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Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?
(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio  3: 4: 6 respectively.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'A'. Can you explain this answer?
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Peter gifted a packet of chocolates to each of the guests who came to ...
Steps 1 & 2: Understand Question and Draw Inferences
Notice that:
(i) Each packet contains x, y and z number of chocolates of flavor A, B and C respectively.
(ii) The packet cannot hold more than 50 chocolates. In other words, x + y + z ≤ 50
If N friends come to his party, then the total number of flavor A, flavor B and flavor C chocolates are Nx, Ny and Nz respectively.
Notice that the total number of chocolates of flavor A, flavor B and flavor C have at least one common factor: N, the number of friends who attended his party.
Step 3: Analyze statement 1
The numbers 21, 28 and 42 represent the total number of flavor A, flavor B and flavor C chocolates.
=> Nx = 21
Ny = 28
Nz = 42
The common factors of Nx, Ny and Nz are 1 and 7.So, the number of friends could be 1 or 7.
Case I: N = 1
=> x = 21, y = 28, z = 42.
=> x + y + z = 91
Since x + y + z > 50, this case is not possible.
Case II: N = 7
x + y + z = 3 + 4 + 6 = 13, which satisfies x + y + z ≤ 50.
This is the only possible case. Therefore, N = 7.
SUFFICIENT.
Step 4: Analyze statement 2
Since the ratio of the number of chocolates of flavor A, flavor B and flavor C is 3:4:6, we can assume the number of chocolates of flavor A, flavor B and flavor C to be 3k, 4k and 6k respectively. (k can be any positive integer)
If the number of friends who attended Peter’s birthday party is N, then the number of chocolates of flavor A, flavor B and flavor C are 3k×N, 4k×N and 6k×N respectively.
There is no information relating 3kN, 4kN and 6kN, and therefore N cannot be found.
INSUFFICIENT.
Step 5: Analyze Both Statements Together (if needed)
Since we have obtained an answer in Step 3, there is no need to combine the statements.
(A)   is the correct answer.
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Most Upvoted Answer
Peter gifted a packet of chocolates to each of the guests who came to ...
Steps 1 & 2: Understand Question and Draw Inferences
Notice that:
(i) Each packet contains x, y and z number of chocolates of flavor A, B and C respectively.
(ii) The packet cannot hold more than 50 chocolates. In other words, x + y + z ≤ 50
If N friends come to his party, then the total number of flavor A, flavor B and flavor C chocolates are Nx, Ny and Nz respectively.
Notice that the total number of chocolates of flavor A, flavor B and flavor C have at least one common factor: N, the number of friends who attended his party.
Step 3: Analyze statement 1
The numbers 21, 28 and 42 represent the total number of flavor A, flavor B and flavor C chocolates.
=> Nx = 21
Ny = 28
Nz = 42
The common factors of Nx, Ny and Nz are 1 and 7.So, the number of friends could be 1 or 7.
Case I: N = 1
=> x = 21, y = 28, z = 42.
=> x + y + z = 91
Since x + y + z > 50, this case is not possible.
Case II: N = 7
x + y + z = 3 + 4 + 6 = 13, which satisfies x + y + z ≤ 50.
This is the only possible case. Therefore, N = 7.
SUFFICIENT.
Step 4: Analyze statement 2
Since the ratio of the number of chocolates of flavor A, flavor B and flavor C is 3:4:6, we can assume the number of chocolates of flavor A, flavor B and flavor C to be 3k, 4k and 6k respectively. (k can be any positive integer)
If the number of friends who attended Peter’s birthday party is N, then the number of chocolates of flavor A, flavor B and flavor C are 3k×N, 4k×N and 6k×N respectively.
There is no information relating 3kN, 4kN and 6kN, and therefore N cannot be found.
INSUFFICIENT.
Step 5: Analyze Both Statements Together (if needed)
Since we have obtained an answer in Step 3, there is no need to combine the statements.
(A)   is the correct answer.
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Community Answer
Peter gifted a packet of chocolates to each of the guests who came to ...
Statement Analysis:

Statement 1:
- Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.
- This statement gives us the total number of each flavor of chocolates used in all the packets.
- However, it does not directly help us determine the number of guests who attended the party.

Statement 2:
- The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.
- This statement provides us with the ratio of the different flavors of chocolates in each packet.
- It does not give us the total number of chocolates in each packet or the total number of guests who attended the party.

Both Statements Together:
- Combining both statements, we know the total number of each flavor of chocolates used in all the packets and the ratio of flavors in each packet.
- Since the ratio of flavors in each packet is 3:4:6, we can calculate the total number of chocolates in each packet.
- We can then determine the number of guests by dividing the total number of each flavor of chocolates used by the respective quantities in each packet.
- Therefore, both statements together are sufficient to determine the number of guests who attended Peter's birthday party.
Therefore, the correct answer is option A. Both statements together are sufficient, but neither statement alone is sufficient.
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Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?
Question Description
Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. 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 Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?.
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Here you can find the meaning of Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Peter gifted a packet of chocolates to each of the guests who came to his birthday party. Each packet was identical and contained x chocolates of flavor A, y chocolates of flavor B and z chocolates of flavor C, where x, y and z are positive integers. If the total number of chocolates in a packet was not greater than 50, then how many guests attended his birthday party?(1) Peter used a total of 21 chocolates of flavor A, 28 chocolates of flavor B and 42 chocolates of flavor C to prepare all the packets.(2) The numbers of chocolates of flavors A, B and C in each packet were in the ratio 3: 4: 6 respectively.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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