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There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?
(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.
(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.
  • a)
    Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • b)
    Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • c)
    Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • d)
    Either statement BY ITSELF is sufficient to answer the question.
  • e)
    Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
There are X dogs in the dog hound, each dog eats Y Kg of food every da...
The best answer is C.
In order to know the answer we need two equations:
From statement (1) we can write:  XY = (X – 3)(Y + 1.2).
From statement (2) we can write: XY = (X/2)(Y + 3).
You don’t need to solve the equations, the answer is C, both equations are needed to solve the question
This question is part of UPSC exam. View all GMAT courses
Most Upvoted Answer
There are X dogs in the dog hound, each dog eats Y Kg of food every da...
Statement 1: If there were 3 dogs less, then each dog could eat 1.2 Kg more than he does now.

Statement 2: If there were half the dogs, each dog could eat 3 Kg more than he does now.

We need to determine the percent of the total food weight that each dog eats. Let's analyze each statement separately:

Statement 1: If there were 3 dogs less, each dog could eat 1.2 Kg more than he does now.

This statement alone does not provide any information about the total number of dogs or the amount of food they currently eat. Therefore, we cannot determine the percent of the total food weight that each dog eats based on this statement alone.

Statement 2: If there were half the dogs, each dog could eat 3 Kg more than he does now.

This statement alone does not provide any information about the total number of dogs or the amount of food they currently eat. Therefore, we cannot determine the percent of the total food weight that each dog eats based on this statement alone.

Statements 1 and 2 together:
Combining both statements, we can set up a system of equations to solve for the total number of dogs and the amount of food each dog eats.

Let X be the total number of dogs and Y be the amount of food each dog eats.

From statement 1, we can write the equation:
(X - 3) * (Y + 1.2) = X * Y

From statement 2, we can write the equation:
(X / 2) * (Y + 3) = X * Y

Simplifying both equations, we get:
XY - 3Y + 1.2X - 3.6 = XY
XY + 3XY - 6Y = 2XY

Combining like terms, we have:
4XY - 9Y = 3.6

We can see that the equations are dependent and do not provide a unique solution for X and Y. Therefore, even when both statements are taken together, we cannot determine the percent of the total food weight that each dog eats.

Therefore, the correct answer is option (e) - Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
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There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'C'. Can you explain this answer?
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There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?(1) If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.(2) If there were half the dogs, each dog could eat 3 Kg more than he is does now.a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.d)Either statement BY ITSELF is sufficient to answer the question.e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.Correct answer is option 'C'. Can you explain this answer?.
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