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The students of a class are to be arranged in rows, starting from number 1,  such that a row can have a maximum of x students, where x is a number to be determined that is greater than 1. If the minimum number of rows required to accommodate all the students is 10,  what is the number of students in the class?
(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.
(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.
  • 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 to answer the question asked.
  • 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 specific to the problem are needed.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The students of a class are to be arranged in rows, starting from numb...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • Maximum number of students in a row = x
  • Minimum number of rows required to accommodate all the students = 10
Since we are talking about minimum number of rows
Two cases are possible:
  1. Number of students when all the 10 rows consist of x students each = 10x                                           
  2. Number of students when the last row (10th row) is not completely occupied = 9x + z, where z is the number of students in the last row.
We need to find the values of x and z.
Step 3: Analyze Statement 1 independently
  1. If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.
Statement I conveys that a shifting of students is required to achieve an equal number of students in Rows 9 and 10. This means that the number of students in these two rows initially is not equally. So, what we know for sure now is that Case a is rejected. It is Case-b that is applicable.
As per Case b, Number of students in 9th row = x
Number of students in 10th row = z
As per Statement 1, x -3 = z + 3
So, x = z +6.
2 unknowns and 1 equation. We cannot find unique values of x and z. Insufficient to answer the question
 
Step 4: Analyze Statement 2 independently
(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.
This means, there is only 1 student in the last row. Case-b is applicable.
z = 1. However, it does not tell us about the value of x. Insufficient to answer
Step 5: Analyze Both Statements Together (if needed)
St- 1 gives us relation between x and z and St-2 gives us the value of z. Thus, we can find a unique value of x.
Sufficient to answer the question
 
Answer: C
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Most Upvoted Answer
The students of a class are to be arranged in rows, starting from numb...
Statement Analysis:

Statement 1: If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.
- This statement helps us understand the distribution of students in rows 9 and 10.

Statement 2: Had there been 1 student less in the class, the minimum number of rows required would have been 9.
- This statement gives us information about the number of rows required with one less student in the class.

Combined Analysis:
- From statement 2, we know that with one less student, the minimum number of rows required is 9.
- From statement 1, we can infer that if 3 students are shifted from row 9 to row 10, both rows will have an equal number of students.
- Combining these two statements, we can deduce that the total number of students in the class is such that when 3 students are moved from row 9 to row 10, the number of students in each row is equal, leading to a total of 9 rows.
- Therefore, the total number of students in the class can be calculated as the product of the number of students in each row (after moving 3 students) and the number of rows (9).

Conclusion: Both statements together are sufficient to determine the number of students in the class. Hence, the correct answer is option 'C'.
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The students of a class are to be arranged in rows, starting from number 1, such that a row can have a maximum of x students, where x is a number to be determined that is greater than 1. If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?
Question Description
The students of a class are to be arranged in rows, starting from number 1, such that a row can have a maximum of x students, where x is a number to be determined that is greater than 1. If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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 The students of a class are to be arranged in rows, starting from number 1, such that a row can have a maximum of x students, where x is a number to be determined that is greater than 1. If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students of a class are to be arranged in rows, starting from number 1, such that a row can have a maximum of x students, where x is a number to be determined that is greater than 1. If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.
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If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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If the minimum number of rows required to accommodate all the students is 10, what is the number of students in the class?(1) If 3 students are shifted from row number 9 to row number 10, both the rows would have an equal number of students.(2) Had there been 1 student less in the class, the minimum number of rows required would have been 9.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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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