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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655-705 (Hard)

What is the total number of coins that Bert and Claire have? (1) Bert has

50

percent more coins than Claire. (2) The total number of coins that Bert and Claire have is between

21

and

28

605-655 (Medium)

Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second? (1) d1 is 30 greater than d2 (2) r1 is 30 greater than r2.

655-705 (Hard)

A telephone station has

x

processors, each of which can process a maximum of

y

calls at any particular time, where

x

and

y

are positive integers. If

500

calls are sent to the station at a particular time, can the station process all of the calls? (1)

x = 600

(2)

100 < y < 200

705-805 (Hard)

4, 6, 8, 10, 12, 14, 16, 18, 20, 22 List M (not shown) consists of 8 different integers, each of which is in the list shown. What is the standard deviation of the numbers in list M ? (1) The average (arithmetic mean) of the numbers in list M is equal to the average of the numbers in the list shown. (2) List M does not contain 22.

655-705 (Hard)

Kim and Sue each bought some roses and some daisies at the prices shown in the table. If Kim bought the same total number of roses and daisies as Sue, was the price of Kim's purchase of roses and daisies higher than the price of Sue's purchase of roses and daisies? (1) Kim bought twice as many daisies as roses. (2) Kim bought

4

more roses than Sue bought.

655-705 (Hard)

Mary persuaded n friends to donate

500 e a c h t o h er e l ec t i o n c am p ai g n, an d t h e n e a c h o f t h ese n f r i e n d s p er s u a d e d nm or e p eo pl e t o d o na t e

500 each to Mary’s campaign. If no one donated more than once and if there were no other donations, what was the value of n? (1) The first n people donated 1/16 of the total amount donated. (2) The total amount donated was $120,000.

655-705 (Hard)

Jazz and blues recordings accounted for

6

percent of the

$840

million revenue from the sales of recordings in Country Y in

2000

. What was the revenue from the sales of jazz and blues recordings in Country Y in

1998

? (1) Jazz and blues recordings accounted for

5

percent of the revenue from the sales of recordings in Country Y in

1998

. (2) The revenue from the sales of jazz and blues recordings in Country Y increased by

40

percent from

1998

2000

655-705 (Hard)

On a certain nonstop trip, Marta averaged

x

miles per hour for

2

hours and

y

miles per hour for the remaining

3

hours. What was her average speed, in miles per hour, for the entire trip? (1)

2 x + 3 y = 280

(2)

y = x + 10

605-655 (Medium)

At a certain company, a test was given to a group of men and women seeking for promotions. If the average (arithmetic mean) score for the group was 80, was the average score for the women more than 85? (1) The average score for the men was less than 75. (2) The group consisted of more men than women.

655-705 (Hard)

A group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least

10

people in the group, each paid an admission fee that was

10%

less than the regular admission fee. How many children were in the group? (1) The total of the admission fees paid for the adults in the group was ¥29,700. (2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.

555-605 (Medium)

Robots X, Y, and Z each assemble components at their respective constant rates. If r x r x is the ratio of Robot X's constant rate to Robot Z's constant rate and r y r y is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three? (1) r x < r y r x < r y (2) r y < 1 r y < 1

655-705 (Hard)

What is the ratio of the average (arithmetic mean) height of students in Class X to the average height of students in Class Y? (1) The average height of the students in Class X is

120

centimeters. (2) The average height of the students in Class X and Class Y combined is

126

centimeters.

705-805 (Hard)

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997? (1) x > y x > y (2) x y 100 < x − y x y 100 < x − y

655-705 (Hard)

Max has

$125

consisting of bills each worth either

$5

$20

. How many bills worth

$5

does Max have? (1) Max has fewer than

5

bills worth

$5

each. (2) Max has more than

5

bills worth

$20

each.

Sub 505 (Easy)

Is √(x + y) an integer? (1) x^3 = 64 (2) x^2 = y – 3

655-705 (Hard)

At a bakery, all donuts are priced equally and all bagels are priced equally. What is the total price of

5

donuts and

3

bagels at the bakery? (1) At the bakery, the total price of

10

donuts and

6

bagels is

$12.90

. (2) At the bakery, the price of a donut is

$0.15

less than the price of a bagel.

Sub 505 (Easy)

If x and y are integers, is xy even? (1) x = y + 1. (2) x/y is an even integer.

655-705 (Hard)

Last year, if Arturo spent a total of

$12, 000

on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes? (1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was

33 \frac{1}{3}

percent of the amount that he spent on his mortgage payments. (2) Last year, the amount that Arturo spent on his real estate taxes was

20

percent of the total amount he spent on his mortgage payments and home insurance.

N/A

In the xy-plane, region R consists of all the points (x,y) such that 2 x + 3 y ≤ 6 2 x + 3 y ≤ 6 . Is the point (r,s) in region R? (1) 3 r + 2 s = 6 3 r + 2 s = 6 (2) r ≤ 3 r ≤ 3 and s ≤ 2 s ≤ 2

655-705 (Hard)

Is the number of members of Club X greater than the number of members of Club Y? (1) Of the members of Club X,

20

percent are also members of Club Y. (2) Of the members of Club Y,

30

percent are also members of Club X.

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