GMAT Master

1 /5

Engineers are testing the weight capacity of five potential support beams for a bridge: A, B, C, D, and E. Beam A was found to withstand the highest weight, which was more than sufficient for the bridge. Beam B was able to withstand lower weight than Beam A yet was sufficient for the bridge. Beams C and D could only withstand weights insufficient for the bridge. Beam E withstood the most weight after Beam A.

Each of the following statements pertains to the bridge support beams. Select Must Be True for the statement that must be true and select Must Be False for the statement that must be false. Make only two selections, one in each column.

Beam C can hold the least weight.

Must Be True

Must Be False

The median weight capacity corresponds to Beam D.

Must Be True

Must Be False

The median weight capacity corresponds to Beam D.

Must Be True

Must Be False

Beam E can hold more weight than Beam B.

Must Be True

Must Be False

Four of the five beams can support the bridge's weight.

Must Be True

Must Be False

2 /5

If the average (arithmetic mean) of three different positive integers is x, y, and z is 10, what is the value of the smallest of the three integers?

1. The largest integer is three times the value of the smallest integer.

2. The value of x is 12.

Choose the correct option:

(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.

(D) EACH statement ALONE is sufficient.

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

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

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

3 /5

Three companies, Delta Inc., Epsilon Ltd., and Zeta Corp., participated in three different marketing campaigns: Social Media, Email, and Direct Mail. The survey results are as follows:

150 companies participated in the Social Media campaign,

130 companies participated in the Email campaign,

110 companies participated in the Direct Mail campaign,

80 companies participated in both the Social Media and Email campaigns,

70 companies participated in both the Social Media and Direct Mail campaigns,

60 companies participated in both the Email and Direct Mail campaigns,

50 companies participated in all three campaigns.

If there are 250 companies in total, how many companies participated in only one of these marketing campaigns?

120

110

4 /5

Consider the inequality \(|3 x-5| \geq 2 x+1\).

Solve for \(x \) and determine which of the following ranges includes all possible solutions for \(x\).

\(x \leq-4 \text { or } x \geq 6\)

\(x \leq-2 \text { or } x \geq 6\)

\(x \leq-3 \text { or } x \geq 4\)

\(x<-5 \text { or } x \geq 3\)

None of the above

5 /5

In the coordinate plane, points \(A\) and \(B\) have coordinates \((2,3)\) and \((8,7)\), respectively. Point \(C\) lies on the line segment \(AB\) and divides the segment \(AB\) into a ratio of \(2: 3\).

What are the coordinates of point \(C\)?

\((5.5,5.4)\)

\((4.4,4.5) \)

\((6.0,6.5)\)

\((4.4,4.6)\)

(4.8, 6.0)

Finish