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What is the price of an orange?
(1) The price of 3 oranges and 2 apples is $7.
(2) The price of an orange and the price of an apple are both integers.
(2) The price of an orange and the price of an apple are both integers.
- 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 'C'. Can you explain this answer?
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Most Upvoted Answer
What is the price of an orange?(1) The price of 3 oranges and 2 apples...
Solution:
Given, we need to find the price of an orange.
Statement 1:
The price of 3 oranges and 2 apples is $7.
This statement gives the relation between the price of 3 oranges and 2 apples but doesn't give the individual price of an orange or an apple.
Therefore, statement 1 alone is not sufficient to answer the question.
Statement 2:
The price of an orange and the price of an apple are both integers.
This statement gives us the information that the price of an orange and an apple both are integers.
But we don't know the actual values of those integers. So, this statement alone is not sufficient to answer the question.
Statements 1 and 2:
From statement 1, we know that the price of 3 oranges and 2 apples is $7.
From statement 2, we know that the price of an orange and an apple is an integer.
Let's assume the price of an orange is x and the price of an apple is y.
From statement 1, we can write the following equation:
3x + 2y = 7
We know that x and y are integers from statement 2.
We need to find the value of x.
We can rearrange the equation as follows:
3x = 7 - 2y
or
x = (7 - 2y)/3
For x to be an integer, (7 - 2y) must be divisible by 3.
Let's check the values of (7 - 2y) for different values of y.
If y = 1, then (7 - 2y) = 5 which is not divisible by 3.
If y = 2, then (7 - 2y) = 3 which is divisible by 3.
If y = 3, then (7 - 2y) = 1 which is not divisible by 3.
If y = 4, then (7 - 2y) = -1 which is not divisible by 3.
If y = 5, then (7 - 2y) = -3 which is divisible by 3.
If y = 6, then (7 - 2y) = -5 which is not divisible by 3.
From the above values, we can see that the value of y must be 2 or 5 for x to be an integer.
If y = 2, then x = (7 - 2y)/3 = 1
If y = 5, then x = (7 - 2y)/3 = -1
Since the price of an orange cannot be negative, the value of y must be 2.
Therefore, the price of an orange is $1.
Hence, both statements together are sufficient to answer the question.
Therefore, the correct answer is (C).
Given, we need to find the price of an orange.
Statement 1:
The price of 3 oranges and 2 apples is $7.
This statement gives the relation between the price of 3 oranges and 2 apples but doesn't give the individual price of an orange or an apple.
Therefore, statement 1 alone is not sufficient to answer the question.
Statement 2:
The price of an orange and the price of an apple are both integers.
This statement gives us the information that the price of an orange and an apple both are integers.
But we don't know the actual values of those integers. So, this statement alone is not sufficient to answer the question.
Statements 1 and 2:
From statement 1, we know that the price of 3 oranges and 2 apples is $7.
From statement 2, we know that the price of an orange and an apple is an integer.
Let's assume the price of an orange is x and the price of an apple is y.
From statement 1, we can write the following equation:
3x + 2y = 7
We know that x and y are integers from statement 2.
We need to find the value of x.
We can rearrange the equation as follows:
3x = 7 - 2y
or
x = (7 - 2y)/3
For x to be an integer, (7 - 2y) must be divisible by 3.
Let's check the values of (7 - 2y) for different values of y.
If y = 1, then (7 - 2y) = 5 which is not divisible by 3.
If y = 2, then (7 - 2y) = 3 which is divisible by 3.
If y = 3, then (7 - 2y) = 1 which is not divisible by 3.
If y = 4, then (7 - 2y) = -1 which is not divisible by 3.
If y = 5, then (7 - 2y) = -3 which is divisible by 3.
If y = 6, then (7 - 2y) = -5 which is not divisible by 3.
From the above values, we can see that the value of y must be 2 or 5 for x to be an integer.
If y = 2, then x = (7 - 2y)/3 = 1
If y = 5, then x = (7 - 2y)/3 = -1
Since the price of an orange cannot be negative, the value of y must be 2.
Therefore, the price of an orange is $1.
Hence, both statements together are sufficient to answer the question.
Therefore, the correct answer is (C).
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Community Answer
What is the price of an orange?(1) The price of 3 oranges and 2 apples...
Statement 1:
We are given that the combined price of 3 oranges and 2 apples is $7:
3(Price of 1 orange)+2(Price of 1 apple)=7
This is a linear equation with two variables. From it alone, we cannot get the unique value of the price of an orange.
This is a linear equation with two variables. From it alone, we cannot get the unique value of the price of an orange.
Let's take two cases.
1. Say the price of an apple = $1, then the price of an orange is 
2. Say the price of an apple = $2, then the price of an orange is 
No unique value of the price of an orange. Insufficient!
Statement 2:
Merely knowing that the price of an orange and the price of an apple are integers is not sufficient.
Statement 1 & 2 together:
Say the price of an orange = x and the price of an apple = y;
Thus, from Statement 1, we get,
3x + 2y = 7
From Statement 2, we know that the price of an orange and the price of an apple are integers, thus they must be positive. That is,
From Statement 2, we know that the price of an orange and the price of an apple are integers, thus they must be positive. That is,
x ≥ 1
y ≥ 1
Let's assume a few possible integer values of the price of an apple (y) and see whether it results in a unique positive integer value of the price of an orange (x).
y ≥ 1
Let's assume a few possible integer values of the price of an apple (y) and see whether it results in a unique positive integer value of the price of an orange (x).
We get only one valid value of x, i.e. the price of an orange = $1, a unique value.
So, our analysis has yielded a unique value of x (=1). Sufficient!
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What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 'C'. Can you explain this answer?
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What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 '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 What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 '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 What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 'C'. Can you explain this answer?.
What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 '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 What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 '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 What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 'C'. Can you explain this answer?.
Solutions for What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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ample number of questions to practice What is the price of an orange?(1) The price of 3 oranges and 2 apples is $7.(2) The price of an orange and the price of an apple are both integers.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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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