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Is it true that the point (1,4) in the standard (x,y) coordinate plane is in at most one of the sets A and B?

(1) Set AH the set of all points {x,y) such that 2x + y< 5.

(2) Set 5is the set of all points (x,y) such that y > 3x+ 2.

A.

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

B.

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

C.

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

D.

EACH statement ALONE is sufficient.

E.

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

A.

-1

B.

0

C.

2

D.

3

E.

6

A lottery box contains 8,000 tickets, each of which is red or blue or green. The box contains twice as many blue tickets as red tickets. The number of green tickets is 20 more than the number of red and blue tickets combined. Which of the following Is the best approximation to the probability that the first ticket randomly drawn from the box will be blue?

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

What is the median of the numbers in set A?

(1) n is even.

(2) n is less than 7.

A.

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

B.

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

C.

BOTH statements TOGETHER ace sufficient, but NEITHER statement ALONE Is sufficient.

D.

EACH statement ALONE is sufficient.

E.

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

If x ≠ 0, for which of the following sets of numbers is the average (arithmetic mean) equal to the median?

A.

I only

B.

II only

C.

III only

D.

I and II only

E.

I, II, and III

A.

greater than 1

B.

greater than or equal to 1

C.

not equal to -1

D.

less than or equal to 1

E.

less than 1

A quantity of solution that is 3% salt by volume was mixed with a quantity of solution that is 9% salt by volume to produce a quantity of solution that is 4% salt by volume. How many liters of the 9% solution were used?

(1) The quantity of 3% solution was 5 times the quantity of 9% solution.

(2) The quantity of 4% solution produced was 150 liters.

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 TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

D.

EACH statement ALONE is sufficient.

E.

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

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 TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

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

The sum of the first n positive integers is given by

.

What is the sum of the first 100 positive odd integers?

A.

10,100

B.

10,000

C.

9,950

D.

9,900

E.

5,050

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E