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)

On Day X, was the forecast temperature

3 6^{\circ} C

at noon? (1) On Day X, the forecast temperature was

3 0^{\circ} C

at 9:00 a.m. and

4 0^{\circ} C

at 2:00 p.m. (2) On Day X, every half hour, the forecast temperature increased by

1^{\circ} C

Sub 505 (Easy)

What is the volume of the right circular cylinder X ? (1) The height of X is 20. (2) The base of X has area 25π.

505-555 (Easy)

Benjamin is a salesman working for commission at a shoe store. For the first

$1, 000

worth of sales in a given month, he earns a commission of

2%

. For any sales he makes after the first

$1, 000

in that month, he earns a commission of

4%

. What is the total dollar value of sales made by Benjamin in the month of March? (1) Benjamin earned a commission of

$120

in March. (2) Benjamin doubled the dollar value of his sales in March compared to his sales in February.

Sub 505 (Easy)

In the figure above, point D is on AC. What is the degree measure of ∠BAC? (1) The measure of ∠BDC is 60° (2) The degree measure of BAC is less than the degree measure of BCD.

505-555 (Easy)

What is the length of Train A if it crosses Bridge X in

30

seconds from the moment it enters the bridge to the moment its final carriage exits the bridge? (1) Train B, which is

200

meters long, traveling at a constant speed of

20

meters per second, crosses Bridge X in

40

seconds. (2) The end of Train A, which is traveling at a constant speed, passes a pole in

10

seconds from the moment the train meets the pole.

Sub 505 (Easy)

What is the value of z in the figure above? (1) x = 50 (2) y = 35

505-555 (Easy)

Solomon leases space for his barber shop, and his landlord has recently increased the rent by

40%

. Solomon wants to increase his monthly revenue to pay the increased rent without affecting his net income. By what percentage must he increase his revenue? (1)

20%

of his previous monthly revenue was used to pay the rent before the landlord increased it. (2) The new rent is

$50

more than the previous rent.

555-605 (Medium)

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9? (1) y > 3x (2) y > x > 3

505-555 (Easy)

What is the ratio of the amount, by weight, of Metal A to Metal B in Alloy K? (1) The ratio of Metal A to Metal B in Alloy K becomes

5 : 6

when

40

pounds of Metal A is added to the alloy. (2) The ratio of Metal A to Metal B in Alloy K becomes

7 : 6

when

60

pounds of Metal A is added to the alloy.

Sub 505 (Easy)

n, 15, 12, 9, 20 What is the value of n in the list above? (1) n> 12 (2) The median of the numbers in the list is 13.

505-555 (Easy)

Train A started from Station X toward Station Y traveling at a constant speed, and on the same day, on a parallel track, Train B started from Station Y toward Station X at a constant speed. At what time did Train A reach Station Y? (1) The two trains met at 3:00 p.m. The distance traveled by Train A was twice the distance traveled by Train B by the time they met. (2) The ratio between the speeds of Trains A and B is

3 : 5

. Train B started from Station Y at 6:00 a.m.

Sub 505 (Easy)

Is 5 x + 2 25 < 1 5 x + 2 25 < 1 ? (1) 5 x < 1 5 x < 1 (2) x < 0 x < 0

505-555 (Easy)

Pipes A and B are the pipes that fill a tank. Pipes C and D are the pipes that empty the same tank. What is the capacity of the tank? (1) Pipe A is twice as efficient as Pipe C, that is, the volume of water per hour that Pipe A moves is twice the volume per hour that Pipe C moves. Pipe A and Pipe B are equally efficient. When Pipes C and D are closed, Pipes A and B together fill the empty tank in

5

hours. Pipe C empties

6, 000

liters per hour. (2) Pipe B is three times as efficient as Pipe D.

Sub 505 (Easy)

If x and y are integers, what is the value of x + y? (1) 3 < ( x + y ) 2 < 4 3 < ( x + y ) 2 < 4 (2) 2 < x < y < 5 2 < x < y < 5

605-655 (Medium)

What is the total number of executives at Company P? (1) The number of male executives is

\frac{3}{5}

the number of female executives. (2) There are

4

more female executives than male executives.

Sub 505 (Easy)

What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5

605-655 (Medium)

Jack picked

76

apples. Of these, he sold

4 y

apples to Juanita and

3 t

apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (

t

and

y

are positive integers.) (1)

y \geq 15

and

t = 2

(2)

y = 17

555-605 (Medium)

If [x] denotes the least integer greater than or equal to x, is [x] = 0? (1) -1< x< 1 (2) x < 0

605-655 (Medium)

The total price of

5

pounds of regular coffee and

3

pounds of decaffeinated coffee was

$21.50

. What was the price of the

5

pounds of regular coffee? (1) If the price of the

5

pounds of regular coffee had been reduced

10

percent and the price of the

3

pounds of decaffeinated coffee had been reduced

20

percent, the total price would have been

$18.45

. (2) The price of the

5

pounds of regular coffee was

$3.50

more than the price of the

3

pounds of decaffeinated coffee.

555-605 (Medium)

If x + y z > 0 x + y z > 0 , is x<0? (1) x < y (2) z < 0

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