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Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?
(1) She spent more than $6 on buying oranges
(2) She spent less than $10 on buying oranges
  • 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 'A'. Can you explain this answer?
Most Upvoted Answer
Joan spent $10 to buy at least one piece each of apples and oranges at...
Statement 1: She spent more than $6 on buying oranges.
From this statement alone, we know that Joan spent more than $6 on oranges. However, we don't know the exact number of oranges she bought or the cost of each orange. Therefore, we cannot determine the number of apples she bought. This statement alone is not sufficient to answer the question.

Statement 2: She spent less than $10 on buying oranges.
From this statement alone, we know that Joan spent less than $10 on oranges. Again, we don't know the exact number of oranges she bought or the cost of each orange. Therefore, we cannot determine the number of apples she bought. This statement alone is not sufficient to answer the question.

Combining Statements 1 and 2:
By combining the two statements, we know that Joan spent more than $6 but less than $10 on oranges. This still does not provide enough information to determine the number of apples she bought. For example, if she spent $7 on oranges, she could have bought 7 oranges (total cost $7) and 1 apple (total cost $2), or she could have bought 6 oranges (total cost $6) and 2 apples (total cost $4). The number of apples she bought could be different in each scenario. Therefore, the combined statements are not sufficient to answer the question.

In conclusion, neither statement alone nor the combination of both statements provides enough information to determine the number of apples Joan bought. Thus, the correct answer is option A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Community Answer
Joan spent $10 to buy at least one piece each of apples and oranges at...
Given:
Joan spent $10 to buy at least one piece each of apples and oranges. Each apple costs $2 and each orange costs $1.
We need to determine the number of apples Joan bought.

To find:
The number of apples Joan bought.

Approach:
Let's assume Joan bought 'a' apples and 'o' oranges.

We can create the following equations based on the given information:
1. 2a + o = 10 (Joan spent $10 to buy apples and oranges)
2. a > 0 (Joan bought at least one apple)
3. o > 0 (Joan bought at least one orange)

We need to determine the value of 'a' based on the given statements.

Statement 1:
Joan spent more than $6 on buying oranges.

From equation (1), 2a + o = 10.
If Joan spent more than $6 on oranges, the maximum number of oranges she could buy is 6.
So, we have the inequality: o > 6.

If we substitute o = 6 in equation (1), we get 2a + 6 = 10.
Simplifying, we get 2a = 4, which gives a = 2.

If we substitute o = 7 in equation (1), we get 2a + 7 = 10.
Simplifying, we get 2a = 3, which does not give an integer value for 'a'.

Hence, statement 1 alone is sufficient to determine the number of apples Joan bought.

Statement 2:
Joan spent less than $10 on buying oranges.

From equation (1), 2a + o = 10.
If Joan spent less than $10 on oranges, the maximum number of oranges she could buy is 9.
So, we have the inequality: o < />

If we substitute o = 9 in equation (1), we get 2a + 9 = 10.
Simplifying, we get 2a = 1, which does not give an integer value for 'a'.

Hence, statement 2 alone is not sufficient to determine the number of apples Joan bought.

Conclusion:
From the above analysis, we can conclude that statement 1 alone is sufficient to determine the number of apples Joan bought. Therefore, the correct answer is option (A).
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Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?(1) She spent more than $6 on buying oranges(2) She spent less than $10 on buying orangesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
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Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?(1) She spent more than $6 on buying oranges(2) She spent less than $10 on buying orangesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?(1) She spent more than $6 on buying oranges(2) She spent less than $10 on buying orangesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?(1) She spent more than $6 on buying oranges(2) She spent less than $10 on buying orangesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
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