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26 May 2017, 04:42
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At a certain used car market, there are at least 5 used cars sold every day. Is the number of cars sold between Monday and Friday in the first week of May greater than 34?
(1) 15 cars were sold on one of the days from Monday to Friday in the first week of May
(2) Different number of cars were sold on each day from Monday to Friday in the first week of May
(1) 15 cars were sold on one of the days from Monday to Friday in the first week of May
(2) Different number of cars were sold on each day from Monday to Friday in the first week of May
26 May 2017, 04:42
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Official Solution:
As such, you should always be aware of a hidden integer question. (This is a hidden integer question because even though the number of cars is an integer, it is not directly stated in the question as "the number of cars in integer"). These questions are often related to CMT 4.
First, take the 1st step of the variable approach and modify the original condition and the question. If the question is about "greater than", you must get the least value of the number of used cars sold.
In the original condition, there are 5 variables (since the sales is for 5 days) and 1 equation (since at least 5 cars are sold). In order to match the number of variables to the number of equations, there must be 4 equations. Therefore, E is most likely to be the answer. By solving con 1) & con 2), you can find the least value of the number of cars sold, and you get \(5 + 6 + 7 + 8 + 15 = 41 > 34\), hence yes, it is sufficient. The answer is C. However, this question is also an integer question, one of the key questions, CMT4 (A: if you get C too easily, consider A or B) and CMT4 (B: if you get A or B too easily, consider D) can be applied.
In the case of con 1), the least value of the number of used cars \(= 5 + 5 + 5 + 5 + 15 = 35 > 34\) hence yes, it is sufficient.
In the case of con 2), the least value of the number of used cars \(= 5 + 6 + 7 + 8 + 9 = 35 > 34\) hence yes, it is sufficient. The answer is D.
Answer: D
As such, you should always be aware of a hidden integer question. (This is a hidden integer question because even though the number of cars is an integer, it is not directly stated in the question as "the number of cars in integer"). These questions are often related to CMT 4.
First, take the 1st step of the variable approach and modify the original condition and the question. If the question is about "greater than", you must get the least value of the number of used cars sold.
In the original condition, there are 5 variables (since the sales is for 5 days) and 1 equation (since at least 5 cars are sold). In order to match the number of variables to the number of equations, there must be 4 equations. Therefore, E is most likely to be the answer. By solving con 1) & con 2), you can find the least value of the number of cars sold, and you get \(5 + 6 + 7 + 8 + 15 = 41 > 34\), hence yes, it is sufficient. The answer is C. However, this question is also an integer question, one of the key questions, CMT4 (A: if you get C too easily, consider A or B) and CMT4 (B: if you get A or B too easily, consider D) can be applied.
In the case of con 1), the least value of the number of used cars \(= 5 + 5 + 5 + 5 + 15 = 35 > 34\) hence yes, it is sufficient.
In the case of con 2), the least value of the number of used cars \(= 5 + 6 + 7 + 8 + 9 = 35 > 34\) hence yes, it is sufficient. The answer is D.
Answer: D
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