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)

Lines k and m are parallel to each other. Is the slope of line k positive? (1) Line k passes through the point (3, (2) . (2) Line m passes through the point (-3, 2).

555-605 (Medium)

Which of the positive numbers x or y is greater? (1) y = 2x (2) 2x + 5y = 12

505-555 (Easy)

What is the number of pages of a certain journal article? (1) The size of each page is

5 \frac{1}{2}

inches by

8

inches. (2) The average (arithmetic mean) number of words per page is

250

505-555 (Easy)

What number is 6 more than x + y ? (1) y is 3 less than x. (2) y is twice x.

505-555 (Easy)

If a certain vase contains only roses and tulips, how many tulips are there in the vase? (1) The number of roses in the vase is

4

times the number of tulips in the vase. (2) There is a total of

20

flowers in the vase.

Sub 505 (Easy)

The 9 squares above are to be filled with x's and o's, with only one symbol in each square. How many of the squares will contain an x ? (1) More than 1/2 of the number of squares will contain an o. (2) Each of the 4 corner squares will contain an x.

505-555 (Easy)

The cost of

10

pounds of apples and

2

pounds of grapes was

$12

. What was the cost per pound of apples? (1) The cost per pound of grapes was

$2

. (2) The cost of

2

pounds of apples was less than the cost of

1

pound of grapes.

Sub 505 (Easy)

In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ? (1) The area of square region B is 9. (2) The area of square region C is 64/9.

505-555 (Easy)

What was the median annual salary for the employees at Company X last year? (1) Last year, there were

29

employees at Company X. (2) Last year,

12

employees at Company X had an annual salary of

$24, 000

605-655 (Medium)

On the number line, point R has coordinate r and point T has coordinate t. Is t < 0? (1) -1 < r < 0 (2) The distance between R and T is equal to r^2

505-555 (Easy)

How many basic units of Currency X are equivalent to

250

basic units of Currency Y? (1)

100

basic units of Currency X are equivalent to

625

basic units of Currency Y. (2)

2, 000

basic units of Currency X are equivalent to

12, 500

basic units of Currency Y.

505-555 (Easy)

In the figure above, ΔPQR has angle measures as shown. Is x < y ? (1) PQ = QR (2) PR > QR

505-555 (Easy)

A company bought

3

printers and

1

scanner. What was the price of the scanner? (1) The total price of the printers and the scanner was

$1, 300

. (2) The price of each printer was

4

times the price of the scanner.

505-555 (Easy)

If x = 2t and y = t/3, what is the value of x^2 – y^2? (1) t^2 – 3 = 6 (2) t^3 = −27

505-555 (Easy)

Each of the

256

solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box? (1) The number of green marbles in the box is

4

times the number of blue marbles in the box. (2) There are

192

green marbles in the box.

Sub 505 (Easy)

For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair? (1) The sales tax on the charge for labor was $9.60. (2) The total sales tax was $12.60.

505-555 (Easy)

A certain mixture of paint requires blue, yellow, and red paints in ratios of

2 : 3 : 1

, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture? (1) Exactly

20

quarts of the mixture are needed. (2) Exactly

10

quarts of the yellow paint are available.

505-555 (Easy)

There are

2

groups of students who took a history test. Was the average (arithmetic mean) score of the students in Group A higher than the average score of the students in Group B who took the test? (1) Of the students who took the test,

10

were in Group A and

12

were in Group B. (2) On the test, the highest score achieved was achieved by a Group B student, and the lowest score achieved was achieved by a Group A student.

505-555 (Easy)

If all of the six faces of a concrete block are rectangular, what is the volume of the block? (1) Each of the four lateral faces of the block has an area of 200 square inches. (2) The top of the block is square and has an area of 400 square inches.

505-555 (Easy)

The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds? (1) The research funds received by Departments X and Y were in the ratio

3 : 5

, respectively. (2) The research funds received by Departments X and Z were in the ratio

2 : 1

, respectively.

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