2017年GMAT數學訓練題

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　　GMAT數學訓練題一

　　If k is a positive integer, then 20kis divisible by how many different positive integers?

　　(1) k is prime.

　　(2) k = 7

　　A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

　　B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

　　C. BOTH statements TOGETHERare sufficient, but NEITHER statementALONE is sufficient.

　　D. EACH statement ALONE issufficient.

　　E. Statement (1) and statement (2) TOGETHER are NOT sufficient.

　　參考答案：B

　　題目翻譯：k是正整數，20倍的k能被多少正整數除開?(1)k是質數;(2)k=7。

　　題目全解：(類型題)

　　Finding the Number of Factors of an Integer

　　A certaindealership has a number of cars to be sold by its sales people. How many cars are to be sold?

　　(1) If each of the salespeople sales 4 of thecars, 23 cars will remain unsold.

　　(2) If each of the salespeople sales 6 of thecars, 5 cars will remain unsold.

　　A.Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient.

　　B.Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient.

　　C. BOTH statementsTOGETHER are sufficient, but NEITHER statement ALONE issufficient.

　　D. EACHstatement ALONE is sufficient.

　　E.Statements (1) and (2) TOGETHER are NOT sufficient.

　　參考答案：C

　　題目翻譯：有等式(12^x)[4^(2x+1)] = (2^k)(3^2)，其中k和x都是整數，求k。

　　題目全解：(1) Says T- 4n = 23 Insuff

　　(2) says T-6n = 5 Insuff

　　Together find n and arrive at T

　　Hence C

　　GMAT數學訓練題三

　　A certainfarmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month torent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet = 1 acre)

　　A. $5,330

　　B. $3,360

　　C. $1,350

　　D. $360

　　E. $150

　　參考答案：E

　　題目翻譯：農民大叔花30租一個月一畝地，那他租一個360feet寬605feet長的農場要多錢?

　　題目全解：(360*605)/43560=5;5*30=150.

　　GMAT數學訓練題四

　　If n and kare positive integers, is n/k an even integer?

　　(1) n is divisible by 8.

　　(2) k is divisible by 4.

　　A.Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient.

　　B.Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient.

　　C. BOTH statementsTOGETHER are sufficient, but NEITHER statement ALONE issufficient.

　　D. EACHstatement ALONE is sufficient.

　　E.Statements (1) and (2) TOGETHER are NOT sufficient.

　　參考答案：E

　　題目翻譯：如果n和k都是正整數，那么n/k是不是偶數?

　　題目全解：First off, neither statements are sufficent alone b/c each provides info about one of the variables.

　　Putting the statments together--pick multiples of 8 for n and 4 for k:

　　n=8, 16, 24, 32, 40, 48 etc.

　　k=4, 8, 12, 16, 20, 24, 28, etc.

　　So, put the statements together:

　　-If n=8 and k=4-->2-->even

　　-If n=8 and k=8-->1-->odd

　　INSUFFICIENT. Choice E.

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