Gmat Quiz 3 - Quantitative Section

Question 1: If a, b and c are the sides of any triangle, which of the following inequalities is not true?

ab > 0
a + b > c
a + c/2 >b
b + c > a
(a + b)·(b + c) > a·c

Question 2: If x is an odd integer, which of the following is also an odd integer?

2x + 6
x² + x + 3
x² + 2x + 1
4x
x² + 5

Question 3: Does (x + a)² = y²?

(1) x = y - a

(2) x = y + a

Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient.

Question 4: A coin is tossed six times. What is the probability of getting exactly three heads?

9/16
1/2
7/16
5/16
3/16

Question 5: One member of an organization of 15 teachers and 25 students resigned. What fraction of the remaining members were teachers?

(1) 24/39 of the remaining members were students.

(2) The member that resigned was a teacher.

Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Question 6: If ABCD in the figure below is a square, what is the length of AE?

(1) The area of triangle AEB is 25.

(2) The length of AE is equal to the length of FC.

Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Question 7: If y = x² + ax + b, y is minimum when x is:

a/b
-a/b
-a/2
-b/2
b/a

Question 8: If y = mx + n is a line in the (x, y) plane, what is the slope m?

(1) y(2) = 2

(2) y(3) = -4

Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Question 9: A box contains 11 tennis balls, labeled from 1 to 11. If 2 tennis balls are selected at random, what is the probability that both of them are labeled with odd numbers?

3/11
6/11
5/11
5/7
4/11

Question 10: There are small books and large books on a desk. What is the total number of books on the desk?

(1) The ratio between the number of large books and small books is 3.

(2) There are 12 more large books than small books on the desk.

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