If no bulk purchase discount applies, what is...

### Related Test

If no bulk purchase discount applies, what is the price of 13 oranges and 12 apples?
(1) The price of 39 oranges and 36 apples is \$111.
(2) The price of 3 oranges and 2 apples is \$7.
• 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)
• e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Statement 1:
We are given that the combined price of 39 oranges and 36 apples is \$111.
Looking at the numbers (13,12) in the question statement and (39,36) in Statement (1), it must click that 39 is 3 times of 13, and 36 is also 3 times of 12. Thus, we have:
The combined price of 39 (= 13 × 3) oranges and 36 ( = 12 × 3) apples is \$111.
Thus, the combined price of 13 oranges and 12 apples is \$111 / 3. - Sufficient
Note: Since in Data Sufficiency questions, you only have to assess whether a statement can lead you to a unique answer or not, do not waste time in calculating the exact answer. This is why the value \$1113 has not been further simplified. There is simply no need to do so.
Statement 2:
We are given that the combined price of 3 oranges and 2 apples is \$7.
Getting a cue from dealing with Statement (1), we see that 12 is 6 times of 2, but 13 is not 6 times of 3. So, by multiplying the information "the combined price of 3 oranges and 2 apples is \$7" by 6, we cannot reach "the combined price of 13 oranges and 12 apples…"
We would rather get:
6 × (Combined price of 3 oranges and 2 apples is \$7)
= Combined price of 18 oranges and 12 apples is \$42, which is not asked for. - Insufficient

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