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Q.

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

Answer Choices

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.

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Re: Joan spent $10 to buy at least one piece each of apples a [#permalink]

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23 May 2017, 08:50

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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 This statement tells us that Joan spent at least $7 for buying oranges. If she spend $7 on oranges, $3 would remain with her. Since one apple costs $2, she can buy one apple. Now she has $1 remaining. From which she can buy one more orange. therefore Joan bought 1 apple. This statement is sufficient.

(2) She spent less than $10 on buying oranges Joan can spend either $1 to $8 on buying oranges. As this statement is not giving any more information, this statement is not sufficient.

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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

Target question:How many apples did Joan buy?

Given: 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. Since there are only a handful of possible outcomes, we might benefit from quickly listing them: i) Joan buys 1 apple (for $2) and 8 oranges (for $8) ii) Joan buys 2 apples (for $4) and 6 oranges (for $6) iii) Joan buys 3 apples (for $6) and 4 oranges (for $4) iv) Joan buys 4 apple (for $8) and 2 oranges (for $2)

Statement 1: She spent more than $6 on buying oranges When we check our list of possible outcomes, we see that only one outcome (case i) satisfies statement 1. So, it MUST be the case that Joan bought 4 apples Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: She spent less than $10 on buying oranges When we check our list of possible outcomes, we see that ALL 4 outcomes satisfy statement 2. So, it's possible that Joan bought 1 apple, 2 apples, 3 apples OR 4 apples Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Joan spent $10 to buy at least one piece each of apples a [#permalink]

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25 Sep 2017, 03:02

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This post received KUDOS

GMATPrepNow wrote:

EgmatQuantExpert wrote:

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

Target question:How many apples did Joan buy?

Given: 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. Since there are only a handful of possible outcomes, we might benefit from quickly listing them: i) Joan buys 1 apple (for $2) and 8 oranges (for $8) ii) Joan buys 2 apples (for $4) and 6 oranges (for $6) iii) Joan buys 3 apples (for $6) and 4 oranges (for $4) iv) Joan buys 4 apple (for $8) and 2 oranges (for $2)

Statement 1: She spent more than $6 on buying oranges When we check our list of possible outcomes, we see that only one outcome (case iv) satisfies statement 1. So, it MUST be the case that Joan bought 4 apples Since we can answer the target question with certainty, statement 1 is SUFFICIENT