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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Sub 505 (Easy)

The figure above represents a box that has the shape of a cube. What is the volume of the box? (1) PR = 10 cm (2) Q T = 5 6 √ Q T = 5 6 cm

505-555 (Easy)

In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class? (1) The students donated a total of

56

cans of food. (2) The total number of cans donated was

40

greater than the total number of students in the class.

555-605 (Medium)

Is the area of the triangular region above less than 20? (1) x^2 + y^2≠ z^2 (2) x + y < 13

505-555 (Easy)

Each of the

n

employees at a certain company has a different annual salary. What is the median of the annual salaries of the

n

employees? (1) When the annual salaries of the

n

employees are listed in increasing order, the median is the

15

th salary. (2) The sum of the annual salaries of the

n

employees is

$913, 500

505-555 (Easy)

Is the product of two positive integers x and y divisible by the sum of x and of y ? (1) x=y (2) x=2

505-555 (Easy)

In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal? (1) There were

60

more votes in favor of the proposal than against the proposal. (2) There were

240

votes in favor of the proposal.

505-555 (Easy)

If a and b are integers, is a + b + 3 an odd integer? (1) ab is an odd integer. (2) a − b is an even integer.

505-555 (Easy)

How many men are in a certain company's vanpool program? (1) The ratio of men to women in the program is

3 : 2

. (2) The men and women in the program fill

6

vans.

Sub 505 (Easy)

Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is not divisible by 15.

505-555 (Easy)

Last semester, Professor K taught two classes, A and B. Each student in Class A handed in

7

assignments, and each student in Class B handed in

5

assignments. How many students were in Class A? (1) The students in both classes combined handed in a total of

85

assignments. (2) There were

10

students in Class B.

555-605 (Medium)

If each side of parallelogram P has length 1, what is the area of P ? (1) One angle of P measures 45 degrees. (2) The altitude of P is 2 √ 2 2 2 .

505-555 (Easy)

Was the amount of John's heating bill for February greater than it was for January? (1) The ratio of the amount of John's heating bill for February to that for January was

\frac{26}{25}

. (2) The sum of the amounts of John's heating bills for January and February was

$183.60

Sub 505 (Easy)

The figure above shows the circular cross section of a concrete water pipe. If the inside radius of the pipe is r feet and the outside radius of the pipe is t feet, what is the value of r ? (1) The ratio of t - r to r is 0.15 and t - r is equal to 0.3 foot. (2) The area of the concrete in the cross section is 1.29π square feet.

505-555 (Easy)

Machine R and Machine S work at their respective constant rates. How much time does it take Machine R, working alone, to complete a certain job? (1) The amount of time that it takes Machine S, working alone, to complete the job is

\frac{3}{4}

the amount of time that it takes Machine R, working alone, to complete the job. (2) Machine R and Machine S, working together, take

12

minutes to complete the job.

505-555 (Easy)

If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ? (1) Each odd-numbered term is either 0 or 2. (2) The 3rd term is 2.

505-555 (Easy)

Beth's bank charges a service fee on a regular checking account for each month in which the balance on the account falls below

$100

at any time during the month. Did the bank charge a service fee on Beth's regular checking account last month? (1) During last month, a total of

$1, 000

was withdrawn from Beth's regular checking account. (2) At the beginning of last month, Beth's regular checking account balance was

$500

Sub 505 (Easy)

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ? (1) R is between S and T. (2) S is to the left of R, and T is to the right of R.

505-555 (Easy)

Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price? (1) The difference between the greatest and the least asking price is

$130, 000

. (2) The difference between the two greater asking prices is

$85, 000

505-555 (Easy)

Is the sum of four particular integers even? (1) Two of the integers are odd and two are even. (2) The average (arithmetic mean) of the four integers is an integer.

505-555 (Easy)

How many people in a group of

50

own neither a fax machine nor a laser printer? (1) The total number of people in the group who own a fax machine or a laser printer or both is less than

50

. (2) The total number of people in the group who own both a fax machine and a laser printer is

15

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