各位要参加2020年GMAT考试的小伙伴们注意啦！今天帮考网要给各位小伙伴分享2020年GMAT考试《GMAT数学》的模拟试题，感兴趣的小伙伴赶快来看看哦！

一、If x and y are integers and x > 0, is y > 0?

(1) 7x – 2y > 0

(2) -y < x

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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D EACH statement ALONE is sufficient.

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

正确答案：E

解题思路：

条件1：7x-2y>0，如果Y为负数，等式也可成立，所以不充分。

条件2：可变形为x+y>0，如果Y为绝对值小于X的负数，等式也可成立，所以不充分。

条件1+2：设X为2，Y为-1。Y为负数，两个等式同时成立，所以也不充分。因此，正确答案为E。

二、In the figure shown, line segment AD is parallel to line segment BC. What is the value of x?

(1)y=50

(2)z=40

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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D EACH statement ALONE is sufficient.

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

正确答案：A

解题思路：

因为AD和BC平行，那么X和Y的角度就应该相同，所以条件1单独成立，条件2只知道Z的角度无法得出X的角度，所以条件2单独不成立。答案为A。

三、Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?

A 1/15

B 1/5

C 4/15

D 1/3

E 2/5

正确答案：B

解题思路：

设总人数为100，那么，一年级学生有50个，二年级50个。一年级中没定专业的有40个，定了的有10个。由于二年级学生中定了专业的比例是一年级的3倍，所以二年级学生定了专业的有30个，没定专业的有20个。所以，二年级学生中，没定专业的人数与总人数的比例是20%，即1/5。

四、If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisible by exactly 4 different prime numbers.

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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D EACH statement ALONE is sufficient.

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

正确答案：E

题目分析：

求K是否是一个整数的平方数。

详细解法：

条件(1)， K能被4整除。

如果K=16，是4的平方数， 如果K=8,不是平方数，所以不充分。

条件(2)， K能被正好4个质数整除。

最小的4个质数乘积=2*3*5*7=210

如果K=210， 不是平方数， 如果K=210*210， 是平方数， 所以也不充分。

(1)+(2)相加也不充分。所以选E。

好了，以上就是2020年GMAT考试《GMAT数学》模拟试题（4）的全部内容了，如果各位小伙伴还有不明白的地方，可以进入帮考网咨询了解哦！