Executive Assessment Data Sufficiency Questions

The correct answer is: C)

(1) If \(x+2 =y\), then \(\frac{x}{y}+\frac{2}{y}=1\) or \(\frac{x}{y}=1-\frac{2}{y}.\) More information is required to define the inequality; NOT sufficient.

(2) That \(x=8\) provides no information about \(y\); NOT sufficient.

(Together) \(x+2 =y\) and \(x=8\) hence \(y=8+2=10\). Therefore, \(\frac{x}{y}=\frac{8}{10} < 2\) producing a definitive answer of always no; SUFFICIENT.

The correct answer is C; the statements together, but not alone, are sufficient.

The correct answer is: E).

(1) Since any value raised to the 0 power is 1, this provides no information about the value of \(n\); NOT sufficient.

(2) This only determines that \(x\) is an even integer but provides no information about the value of \(n\); NOT sufficient.

(Together) There are still no limitations on the value of \(n\); NOT sufficient.

The correct answer is E; both statements together are still not sufficient.

The correct answer is: B)

(1) To find the value of x requires a single value for x or y. This statement only provides a minimum value, and so the question cannot be answered; NOT sufficient.

(2) Substitute the given value of y in terms of x, which is \(y = \frac {4}{3}x\), to produce the equation \(\frac {4}{3}x – x = 45\) which can be solved for the single variable of x as equal to 105; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.

The correct answer is: A)

(1) That \(x^2 + y^2 = 16\) indicates that both x and y must be between – 4 and 4 inclusive as all squares must be positive values; SUFFICIENT.

(2) Subtract y from each side of the inequality to produce \(x^2 \le 16 – y\). Because there is no limit on the value of y, there is no limit on the value of x, and so the answer cannot be answered definitively; NOT sufficient.

The correct answer is A; statement 1 alone is sufficient.

The correct answer is: E)

Area of the curved surface = \(2\pi rh\) where \(r\) and \(h\) are the radius of the base and the height of the cylinder, respectively, and the area of the base touching water is \(\pi r^2\).

(1) \(\frac{1}{3}h=d=2r\) hence \(r=\frac{1}{6}h\) or \(h=6r\), but no values are provided for either variable; NOT sufficient.

(2) The ratio = \(\frac{\pi r^2}{2\pi rh}=\frac{r}{2h}=\frac{1}{12}\), and \(r\) in terms of \(h\) is \(r=\frac{h}{6}\); NOT SUFFICIENT.

(Together) Both statements produce the same equation \(r=\frac{h}{6}\) for two unknowns; NOT sufficient.

The correct answer is E; both statements together are still not sufficient.

The correct answer is: B)

Let the cost of a single butterscotch candy be \(b\) and the cost of a single licorice candy be \(l\). Determine whether \(b < l\).

(1) Articulate algebraically as \(5b + 4l < 3b + 7l\)

Subtract \(3b\) and \(4l\) from each side to find that \(2b < 3l\) or \(b\) < ³&frasl;₂ \(l\). Therefore, \(b\) may or may not be less than \(l\); NOT sufficient</p>

(2) Articulate algebraically as \(4b + 3l < 3b + 2l\)

Subtract \(3b\) and \(2l\) from each side to find that \(b < l\) and therefore, the answer to the question is the cost of a single butterscotch candy less than the cost of a single licorice candy is always no; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.

The correct answer is: A)

(1) The sum of the degrees of the interior angles for any polygon is \((n – 2) \times 180\), where n represents the number of sides of the polygon.

Therefore, the sum of the degrees of polygon Q is \((8 – 2) \times 180 = 1080\); SUFFICIENT.

(2) No information is provided for the sum of the degrees nor the number of vertices of polygon Q; NOT sufficient.

The correct answer is A; statement 1 alone is sufficient.

The correct answer is: D).

(1) Let \(x\) be the 20th score, so that the average score of the 20 students is equal to \(x\) as \(\frac{1197+x}{20}=x\).

Multiply by 20 to find, \(20x=1197+x\) and subtract \(x\) to find that \(19x=1197\).

Divide by 19 to find that \(x=63.\); SUFFICIENT.

(2) Recognize that a similar equation can be derived from this statement that can be solved for \(x\); SUFFICIENT.

The correct answer is D; each statement alone is sufficient.

The correct answer is: E)

(1) The location of the two points is neither given nor the lengths of the segments; NOT sufficient.

(2) The points lie on a circle, but their location is not provided; NOT sufficient.

(Together) Two points on a circle are connected by a chord whose central angle is \(60^{\circ}\), but the radius of the circle is not given; NOT sufficient.

The correct answer is E; both statements together are still not sufficient.