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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605-655 (Medium)

A certain painting job requires a mixture of yellow, green, and white paint. If

12

quarts of paint are needed for the job, how many quarts of green paint are needed? (1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be

1 : 3

. (2) The ratio of the amount of yellow paint to the amount of green paint needs to be

3 : 2

505-555 (Easy)

Does the integer k have at least three different positive prime factors? (1) k/15 is an integer. (2) k/10 is an integer.

605-655 (Medium)

A company produces a certain toy in only

2

sizes, small or large, and in only

2

colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? (1) In the production lot,

400

of the small toys are green. (2) In the production lot,

\frac{2}{3}

of the toys produced are small.

Sub 505 (Easy)

What is the value of the integer p ? (1) Each of the integers 2, 3, and 5 is a factor of p. (2) Each of the integers 2, 5, and 7 is a factor of p.

605-655 (Medium)

Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X? (1) Jones has worked at Firm X

9

years longer than Smith. (2) Green has worked at Firm X

5

years less than Jones.

505-555 (Easy)

If the units digit of integer n is greater than 2, what is the units digit of n ? (1) The units digit of n is the same as the units digit of n^2. (2) The units digit of n is the same as the units digit of n^3.

605-655 (Medium)

On June 1, Mary paid Omar

$360

for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary? (1) Mary moved out on June 24. (2) The amount Mary paid for utilities was less than

\frac{1}{5}

the amount Mary paid for rent.

Sub 505 (Easy)

If X and Y are points in a plane and X lies inside the circle C with center O and radius 2, does Y lie inside circle C? (1) The length of line segment XY is 3. (2) The length of line segment OY is 1.5.

605-655 (Medium)

A collection of

36

cards consists of

4

sets of

9

cards each. The

9

cards in each set are numbered

1

through

9

. If one card has been removed from the collection, what is the number on that card? (1) The units digit of the sum of the numbers on the remaining

35

cards is

6

. (2) The sum of the numbers on the remaining

35

cards is

176

555-605 (Medium)

Last year the average (arithmetic mean) salary of the 10 employees of Company X was $42,800. What is the average salary of the same 10 employees this year? (1) For 8 of the 10 employees, this year's salary is 15 percent greater than last year's salary. (2) For 2 of the 10 employees, this year's salary is the same as last year's salary.

605-655 (Medium)

What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe? (1) The number of cups of flour required in the recipe is

250

percent of the number of cups of sugar required in the recipe. (2)

1 \frac{1}{2}

more cups of flour than cups of sugar are required in the recipe.

705-805 (Hard)

In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive? (1) The slope of line k is -5. (2) r > 0

605-655 (Medium)

A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has

3, 000

pounds of wool and

2, 000

pounds of cotton on hand. Is this enough wool and cotton to make at least

1, 000

jackets? (1) Each wool jacket requires

4

pounds of wool, and no cotton. (2) Each cotton jacket requires

6

pounds of cotton, and no wool.

505-555 (Easy)

Is the standard deviation of the set of measurements x1, x2, x3, x4, ..., x20 less than 3 ? (1) The variance for the set of measurements is 4. (2) For each measurement, the difference between the mean and that measurement is 2.

605-655 (Medium)

Are at least

10

percent of the people in Country X who are

65

years old or older employed? (1) In Country X,

11.3

percent of the population is

65

years old or older. (2) In Country X, of the population

65

years old or older,

20

percent of those with a college degree and

10

percent of those without a college degree are employed.

Sub 505 (Easy)

Is x = 1/y ? (1) xy = 1 (2) 1/(xy) = 1

605-655 (Medium)

A scientist recorded the number of eggs in each of

10

birds' nests. What was the standard deviation of the numbers of eggs in the

10

nests? (1) The average (arithmetic mean) number of eggs for the

10

nests was

4

. (2) Each of the

10

nests contained the same number of eggs.

505-555 (Easy)

If m and n are positive integers, is ( m − − √ ) n ( m ) n an integer? (1) m − − √ m is an integer. (2) n √ n is an integer.

605-655 (Medium)

A paint mixture was formed by mixing exactly

3

colors of paint. By volume, the mixture was

x %

blue paint,

y %

green paint, and

z %

red paint. If exactly

1

gallon of blue paint and

3

gallons of red paint were used, how many gallons of green paint were used? (1)

x = y

(2)

z = 60

Sub 505 (Easy)

What is the value of w^(−2)? (1) w^(−1) = 1/2 (2) ? (1) w^(−1) = 1/2 (2) w^3 = 8

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