Data Sufficiency

Data Sufficiency questions do not ask you to solve — they ask whether you could solve. Each question gives a prompt and two statements, and the five answer choices are always the same: statement 1 alone, statement 2 alone, both together, either alone, or neither. That fixed structure is learnable, and it is where most test takers leak points early on. Practice the AD/BCE elimination habit, resist the urge to compute all the way to a value, and watch for the classic traps: statements that smuggle in hidden constraints, and "obviously sufficient" statements that fail on negatives, zero, or fractions.

Official GMAT Data Sufficiency questions — decide whether the statements are enough to answer.·Show:20 30 50

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505-555 (Easy)

If, in the figure above, ABCD is a rectangular region, what is the value of the ratio a r e a o f E D A a r e a o f E B C a r e a o f E D A a r e a o f E B C ? (1) AD = 4 (2) AE = 2 and EB = 4

505-555 (Easy)

A state legislature had a total of

96

members. The members who did not vote on a certain bill consisted of

25

who were absent and

3

who abstained. How many of those voting voted for the bill? (1) Exactly

\frac{1}{3}

of the total membership of the legislature voted against the bill. (2) The number of legislators who voted for the bill was

8

more than the total number who were absent or abstained.

Sub 505 (Easy)

In the xy-coordinate plane above, what are the coordinates of point N ? (1) Triangle MNP is equilateral. (2) Point M has coordinates (−4,0).

505-555 (Easy)

What is the average (arithmetic mean) of the first

90

measurements in a certain list of

92

measurements? (1) The average of the

92

measurements is

7.0

centimeters. (2) The average of the last

2

measurements is

7.2

centimeters.

505-555 (Easy)

If x and y are the lengths of the legs of a right triangle, what is the value of xy ? (1) The hypotenuse of the triangle is 10 2 √ 10 2 . (2) The area of the triangular region is 50.

505-555 (Easy)

How many of the employees of a certain company use both a tablet and an iPhone? (1)

60

of the employees use a tablet. (2)

45

of the employees use an iPhone.

505-555 (Easy)

A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic? (1) Each side of each triangular piece of tile is 9 centimeters long. (2) The mosaic can be put inside a rectangular frame that is 40 centimeters wide.

505-555 (Easy)

What is the standard deviation of the weights of the

30

samples in a certain experiment? (1) The total weight of the

30

samples is

360

grams. (2) Each of the

30

samples weighs

12

grams.

Sub 505 (Easy)

On a map, 1/2 inch represents 100 miles. According to this map, how many miles is City X from City Y ? (1) City X is 3 inches from City Y on the map. (2) Cities X and Y are each 300 miles from City Z.

505-555 (Easy)

The people in a line waiting to buy tickets to a show are standing one behind the other. Adam and Beth are among the people in the line, and Beth is standing behind Adam with a number of people between them. If the number of people in front of Adam plus the number of people behind Beth is

18

, how many people in the line are behind Beth? (1) There are a total of

32

people in the line. (2)

23

people in the line are behind Adam.

Sub 505 (Easy)

If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5? (1) The units digit of a is 4. (2) The units digit of b is 7.

505-555 (Easy)

In a certain group of

50

people, how many are doctors who have a law degree? (1) In the group,

36

people are doctors. (2) In the group,

18

people have a law degree.

505-555 (Easy)

Of a group of

50

households, how many have at least one cat or at least one dog, but not both? (1) The number of households that have at least one cat and at least one dog is

4

. (2) The number of households that have no cats and no dogs is

14

655-705 (Hard)

A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? (1) L, W, and H are in the ratios of 5:3:4. (2) x = 5, y = 10, z = 20

505-555 (Easy)

Robin invested a total of

$12, 000

in two investments, X and Y, so that the investments earned the same amount of simple annual interest. How many dollars did Robin invest in Investment Y? (1) Investment X paid

3

percent simple annual interest, and Investment Y paid

6

percent simple annual interest. (2) Robin invested more than

$1, 000

in Investment X.

Sub 505 (Easy)

Is x = y ? (1) 2 x 3 − y 3 = 1 3 2 x 3 − y 3 = 1 3 (2) x 4 − y 4 = 0 x 4 − y 4 = 0

505-555 (Easy)

In a real estate office that employs

n

salespeople,

f

of them are females and

x

of the females are new employees. What is the value of

n

? (1) If an employee were randomly selected from the

n

employees, the probability of selecting a female would be

\frac{2}{3}

. (2) If an employee were randomly selected from the

f

female employees, the probability of selecting a new employee would be

\frac{1}{2}

505-555 (Easy)

The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border? (1) The perimeter of the rug is 44 feet. (2) The width of the border on all sides is 1 foot.

505-555 (Easy)

Is the total price of the items in Andrea's shopping cart less than

$25.00

? (1) There are

5

items in Andrea's shopping cart. (2) The price of the most expensive item in Andrea's shopping cart is

$4.99

605-655 (Medium)

The length, width, and height of a rectangular box, in centimeters, are L, W, and H. If the volume of this box is V cubic centimeters and the total area of the 6 sides of this box is A square centimeters, what is the value of V/A ? (1) At least 2 of L, W, and H are equal to 5. (2) L, W, and H all have the same value.

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