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Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?
(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.
(2) The smallest group contains 6 children.
(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.
(2) The smallest group contains 6 children.
- 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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Most Upvoted Answer
Mrs. Brown is dividing 50 students into 3 groups for a class project. ...
The correct response is (A).
The first statement allows us to express the total number of children in the first two groups in terms of the number of children in the third group. Let’s call the smaller groups A and B, and the largest group C. Thus, we can express the first statement: A + B = C.
We know from the question-stem that A + B + C = 50
So we know C = 50 – (A + B).
So we know C = 50 – (A + B).
Using substitution, C = 50 – C.
2C = 50
C = 25. Sufficient.
2C = 50
C = 25. Sufficient.
The second statement tells us the value of A, the smallest group.
This only tells us that 6 + B + C = 50. Without knowing B, we cannot determine a unique value for C.
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Mrs. Brown is dividing 50 students into 3 groups for a class project. ...
Statement Analysis:
Statement 1: The total number of children in the two smaller groups is equal to the number of children in the largest group.
This statement alone is sufficient to determine the number of children in the largest group. If the two smaller groups have a total of 25 students, then the largest group would also have 25 students.
Statement 2: The smallest group contains 6 children.
This statement alone does not provide enough information to determine the number of children in the largest group. Knowing the size of the smallest group does not give us any information about the distribution of the remaining students.
Combined Analysis:
When we combine both statements, we can determine that the total number of students is 50 and the smallest group has 6 students. From statement 1, we know that the two smaller groups together have the same number of students as the largest group. Therefore, the largest group must have 25 students (50 total students - 6 in the smallest group = 44 students in the two smaller groups, which means each smaller group has 22 students, totaling 44 students).
Therefore, both statements together are sufficient to determine that the largest group has 25 students.
Therefore, the correct answer is: Option A.
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Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'A'. Can you explain this answer?
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Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect 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 Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect 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 Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'A'. Can you explain this answer?.
Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect 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 Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect 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 Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.(2) The smallest group contains 6 children.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'A'. Can you explain this answer?.
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