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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705-805 (Hard)

What is the volume of a certain rectangular solid? (1) Two adjacent faces of the solid have areas 15 and 24, respectively. (2) Each of two opposite faces of the solid has area 40.

655-705 (Hard)

The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is

9 : 4 : 5

, respectively. If there are more than

7

dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than

30

. (2) The total number of shirts and dresses in the closet is

26

655-705 (Hard)

For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that 2^n is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m? (1) k > m (2) k/m is an even integer.

655-705 (Hard)

Material A costs

$3

per kilogram, and Material B costs

$5

per kilogram. If

10

kilograms of Material K consists of

x

kilograms of Material A and

y

kilograms of Material B, is

x > y

? (1)

y > 4

(2) The cost of the

10

kilograms of Material K is less than

$40

Sub 505 (Easy)

On a company-sponsored cruise, 2/3 of the passengers were company employees and the remaining passengers were their guests. If 3/4 of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers? (1) There were 690 passengers on the cruise. (2) There were 230 passengers who were guests of the company employees.

655-705 (Hard)

At what speed was a train traveling on a trip when it had completed half of the total distance of the trip? (1) The trip was

460

miles long and took

4

hours to complete. (2) The train traveled at an average rate of

115

miles per hour on the trip.

Sub 505 (Easy)

If A and B are positive integers, is the product AB even? (1) The sum A + B is odd. (2) A is even.

655-705 (Hard)

Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was

$120, 000

. What was the median price of the three houses? (1) The price of Tom's house was

$110, 000

. (2) The price of Jane's house was

$120, 000

655-705 (Hard)

A certain bookcase has

2

shelves of books. On the upper shelf, the book with the greatest number of pages has

400

pages. On the lower shelf, the book with the least number of pages has

475

pages. What is the median number of pages for all of the books on the

2

shelves? (1) There are

25

books on the upper shelf. (2) There are

24

books on the lower shelf.

505-555 (Easy)

How many integers are there between, but not including, integers r and s ? (1) s-r=10 (2) There are 9 integers between, but not including, r + 1 and s + 1.

655-705 (Hard)

In planning for a car trip, Joan estimated both the distance of the trip, in miles, and her average speed, in miles per hour. She accurately divided her estimated distance by her estimated average speed to obtain an estimate for the time, in hours, that the trip would take. Was her estimate within

0.5

hours of the actual time that the trip took? (1) Joan's estimate for the distance was within

5

miles of the actual distance. (2) Joan's estimate for her average speed was within

10

miles per hour of her actual average speed.

Sub 505 (Easy)

If 90 students auditioned for the school musical, how many were accepted? (1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted. (2) 26 of the boys who auditioned were accepted.

655-705 (Hard)

Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5, or S6. The table shows the value of each shipment as a fraction of the total value of the six shipments. If the shipments on the first truck had a value greater than

\frac{1}{2}

of the total value of the six shipments, was S3 shipped on the first truck? (1) S2 and S4 were shipped on the first truck. (2) S1 and S6 were shipped on the second truck.

Sub 505 (Easy)

How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo? (1) Of the 60 cars sold, 20 had a stereo but not power windows. (2) Of the 60 cars sold, 30 had both power windows and a stereo.

655-705 (Hard)

The table shows the results of a survey of

100

voters who each responded “Favorable” or “Unfavorable” or “Not Sure” when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded “Favorable” for both candidates? (1) The number of voters who did not respond “Favorable” for either candidate was

40

. (2) The number of voters who responded “Unfavorable” for both candidates was

10

555-605 (Medium)

Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have? (1) Each member's contribution is to be $4. (2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.

655-705 (Hard)

A school administrator will assign each student in a group of

n

students to one of

m

classrooms. If

3 < m < 13 < n

, is it possible to assign each of the

n

students to one of the

m

classrooms so that each classroom has the same number of students assigned to it? (1) It is possible to assign each of

3 n

students to one of

m

classrooms so that each classroom has the same number of students assigned to it. (2) It is possible to assign each of

13 n

students to one of

m

classrooms so that each classroom has the same number of students assigned to it.

655-705 (Hard)

At a certain clothing store, customers who buy

2

shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of

2

shirts that it makes from the sale of

1

shirt at the regular price. For a customer who buys

2

shirts, what is the discounted price of the second shirt? (1) The regular price of each of the

2

shirts the customer buys at the clothing store is

$16

. (2) The cost to the clothing store of each of the

2

shirts the customer buys is

$12

505-555 (Easy)

What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price? (1) x = 50 (2) Full-price tickets sold for $20 each.

655-705 (Hard)

What is the median number of employees assigned per project for the projects at Company Z? (1)

25

percent of the projects at Company Z have

4

or more employees assigned to each project. (2)

35

percent of the projects at Company Z have

2

or fewer employees assigned to each project.

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