GMAT Diagnostic Test - Math

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Click the link immediately below to view the GMAT Verbal diagnostic test.

Test Questions

1. If x and y are both prime and greater than 2, then which of the following CANNOT be a divisor of xy?
(A) 2
(B) 3
(C) 11
(D) 15
(E) 17

2. For all p not equal 2 define p* by the equation p* = (p + 5)/(p - 2). If p = 3, then p* =
(A) 8/5
(B) 8/3
(C) 4
(D) 5
(E) 8

3. Seven years ago, Scott was 3 times as old as Kathy was at that time. If Scott is now 5 years older than Kathy, how old is Scott?
(A) 12 1/2
(B) 13
(C) 13 1/2
(D) 14
(E) 14 1/2

4. In the figure above, y =
(A) 75
(B) 76
(C) 77
(D) 78
(E) 79

5. If x = 3y = 4z, which of the following must equal 6x?

I. 18y
II. 3y + 20z
III. (4y + 10z)/3

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

6. The average of four numbers is 20. If one of the numbers is removed, the average of the remaining numbers is 15. What number was removed?
(A) 10
(B) 15
(C) 30
(D) 35
(E) 45

Directions (Data Sufficiency Problems): Each of the following two problems contains a question followed by two statements, numbered (1) and (2). You need not solve the problem; rather you must decide whether the information given is sufficient to solve the problem.

The correct answer to a question is
A if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient;
B if statement (2) ALONE is sufficient to answer the question but statement (1) alone is not sufficient;
C if the two statements TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient;
D if EACH statement ALONE is sufficient to answer the question;
E if the two statements TAKEN TOGETHER are still NOT sufficient to answer the question.

7. What is the value of the positive, two-digit number x?
(1) The sum of its digits is 4.
(2) The difference of its digits is 4.

8. If bowl S contains only marbles, how many marbles are in the bowl?
(1) If 1/4 of the marbles were removed, the bowl would be filled to 1/2 of its capacity.
(2) If 100 marbles were added to the bowl, it would be full.