Quantitative Section: Data Sufficiency
Directions: Each of the following GMAT sample data sufficiency problems contains a question followed by two statements, numbered (A) and (B). You need not solve the GMAT sample data sufficiency problem; rather you must decide whether the information given is sufficient to solve the problem.
The correct answer to a question is
- if statement (A) ALONE is sufficient to answer the question but statement (B) alone is not sufficient;
- if statement (B) ALONE is sufficient to answer the question but statement (1) alone is not sufficient;
- if the two statements TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient;
- if EACH statement ALONE is sufficient to answer the question;
- if the two statements TAKEN TOGETHER are still NOT sufficient to answer the question.
Q.1) Quantity A: (-6)^{4 } Quantity B: (-6)^{5}
- if the quantity A is greater;
- if the quantity B is greater;
- if the two quantities are equal;
- if the relationship cannot be determined from the information given.
Q.2) Quantity A: Time to travel 95 miles at 50 miles per hour
Quantity B: Time to travel 125 miles at 60 miles per hour
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
Q.3) Quantity A: (9/13)^{2}
Quantity B: (9/13)^{1/2}
- Quantity A equals Quantity B
- Relationship Indeterminate
- Quantity B is greater
- Quantity A is greater
Q.4) Quantity A: 4 / 100
Quantity B: 0.012 / 3
- Quantity B is greater
- Quantity A equals Quantity B
- Quantity A is greater
- Relationship Indeterminate
Q.5) x = 2y + 3
y = -2
Quantity A: x
Quantity B: -1
- if the quantity in Column A is greater
- if the quantity in Column B is greater
- if the two quantities are equal
- if the relationship cannot be determined from the information given
Q.6) x + 2y > 8
Quantity A: 2x + 4y
Quantity B: 20
- if the quantity in Column A is greater
- if the quantity in Column B is greater
- if the two quantities are equal
- if the relationship cannot be determined from the information given.
Q.7) Quantity A: The number of months in 7 years
Quantity B: The number of days in 12 weeks
- if the quantity in Column A is greater
- if the quantity in Column B is greater
- if the two quantities are equal
- if the relationship cannot be determined from the information given
Q.8) Quantity A: 1-1/27
Quantity B: 8/9 + 1/81
- if the quantity in is greater
- if the quantity in is greater
- if the two quantities are equal
- if the relationship cannot be determined from the information given.
Q.9) r/>s/>0/>
Quantity A: rs/r
Quantity B: rs/s
- if the quantity A is greater
- if the quantity B is greater
- if the two quantities are equal
- if the relationship cannot be determined from the information given.
Q.10) Quantity A: 0.83
Quantity B: 0.81/3
- Quantity B is greater
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
Q.11) t is a positive integer. 4/7 = t/s
Quantity A: s
Quantity B:7
- if the quantity in Column A is greater;
- if the quantity in Column B is greater;
- if the two quantities are equal;
- if the relationship cannot be determined from the information given
Q.12) Quantity A: (0.82)^{2}(0.82)^{3}
Quantity B:(0.82)^{6}
- if the quantity in Column A is greater;
- if the quantity in Column B is greater;
- if the two quantities are equal;
- if the relationship cannot be determined from the information given.
Q.13) For all real numbers a, let a^{*} = 1 – a.
Quantity A: ((-1)^{*})^{*}
Quantity B: 2^{*}
- if the quantity in Column A is greater;
- if the quantity in Column B is greater;
- if the two quantities are equal;
- if the relationship cannot be determined from the information given.
Q.14) Quantity A: (x – 1)(x)(x + 1)
Quantity B:(x)(x)(x)
- if the quantity in Column A is greater;
- if the quantity in Column B is greater;
- if the two quantities are equal;
- if the relationship cannot be determined from the information given.
Q.15) Quantity A: (3 x 4 x 17) / (121 x 100)
Quantity B: (4 x 5 x 19) / (1000 x 121)
- Quantity A is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
- Quantity B is greater
Q.16) Consider a triangle PQR.
Quantity A: length of PQ + length of QR
Quantity B: length of PR
- Quantity A is greater
- Quantity B is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
Q.17) Quantity A: (27 – 13) (296 + 534)
Quantity B: (27 + 13) (534 + 296)
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
- Quantity A is greater
Q.18) Quantity A: A = 1.1
Quantity B: 12.1^{1/2}
- Relationship Indeterminate
- Quantity B is greater
- Quantity A equals Quantity B
- Quantity A is greater
Q.19) 100 < y < 200 and 100 < z < 210
Quantity A: y
Quantity B: z
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
Q.20) y^{2} + z^{2} = 34 and yz = 15
Quantity A: y^{2} + 2yz + z^{2}
Quantity B: (y + z)^{2}
- Quantity B is greater
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
Q.21) Consider a rectangle. The length of its shorter side is 8, and the length of its diagonal is 16.
Quantity A: 30^{o}
Quantity B: measure of angle formed by diagonal and shorter side
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity A is greater
- Quantity B is greater
Q.22) Quantity A: (y + 5)^{2}
Quantity B: (y – 5)^{2}
- Quantity B is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity A is greater
Q.23) Quantity A: (1/25)^{1/2} + (1/144)^{1/2}
Quantity B: [(1/25) + (1/144)]^{1/2}
- Relationship Indeterminate
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
Q.24) y2 + z2 = 34 and yz = 15
Quantity A: y^{2} + 2yz + z^{2}
Quantity B: (y + z)^{2}
- Quantity A is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity B is greater
Q.25) 100 < y < 200 and 100 < z < 210
Quantity A: y
Quantity B: z
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
Q.26) Quantity A: (y + 5)^{2}
Quantity B: (y – 5)^{2}
- Quantity A equals Quantity B
- Quantity A is greater
- Relationship Indeterminate
- Quantity B is greater
Q.27) Consider a rectangle. The length of its shorter side is 8, and the length of its diagonal is 16.
Quantity A: 30^{o}
Quantity B: measure of angle formed by diagonal and shorter side
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
Q.28) The sum of three consecutive even numbers is 18.
Quantity A: Their average
Quantity B: 6
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
Q.29) x – y > 10
Quantity A: y – x
Quantity B: 12
- Quantity B is greater
- Quantity A is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.30) x = 0, y > 0
Quantity A: xy
Quantity B: yx
- Quantity A equals Quantity B
- Quantity A is greater
- Quantity B is greater
- Relationship Indeterminate
Q.31)
Diagram is illustrative and is not drawn to scale.
Quantity A: Measure of angle 3 – Measure of angle 2
Quantity B: Measure of angle 5 – Measure of angle 6
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity B is greater
- Quantity A is greater
Q.32) Quantity A: 2^{9}
Quantity B: 9^{2}
- Quantity B is greater
- Quantity A is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
Q.33) 0 < -x < 10
11 < -y < 20
Quantity A: x
Quantity B: y
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity B is greater
- Quantity A is greater
Q.34)
Diagram is illustrative and is not drawn to scale.
Given angles 1 and 2 are equal,
length of side AB = x, length of side BC = y, length of side AC = z.
Quantity A: x + y
Quantity B: y + z
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
Q.35)
Diagram is illustrative and is not drawn to scale.
In triangle ABC, AB = AC and measure of angle 1 = 100^{o}.
Quantity A: Measure of angle 2 + Measure of angle 3
Quantity B: 90^{o}
- Quantity B is greater
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
Q.36) x and y are both positive and x/y > 5
Quantity A: 0.2x
Quantity B: y
- Quantity A is greater
- Quantity B is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
Q.37)
Diagram is illustrative and is not drawn to scale.
Given AB = AC and angle BAC = 60^{o}
Quantity A: Length of side AB
Quantity B: Length of side BC
- Quantity A equals Quantity B
- Quantity B is greater
- Relationship Indeterminate
- Quantity A is greater
Q.38) y^{2} = 36
Quantity A: y
Quantity B: 6
- Relationship Indeterminate
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
Q.39)
Diagram is illustrative and is not drawn to scale.
Quantity A: Measure of angle 1 + Measure of angle 2 + Measure of angle 4
Quantity B: 180^{o}
- Relationship Indeterminate
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
Q.40)
Diagram is illustrative and is not drawn to scale.
In triangle ABC, angle A = 60^{o} and AB = AC.
Quantity A: Measure of angle 1 + Measure of angle 2
Quantity B: 120^{o}
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
Q.41)
Diagram is illustrative and is not drawn to scale.
Quantity A: Measure of angle 2 + Measure of angle 3
Quantity B: 180^{o}
- Quantity B is greater
- Quantity A is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.42)
Diagram is illustrative and is not drawn to scale.
AB is the diameter of the circle.
Quantity A: Measure of angle 1
Quantity B: Measure of angle 2
- Relationship Indeterminate
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
Q.43)
Diagram is illustrative and is not drawn to scale.
Quantity A: Measure of angle 1 + Measure of angle 3
Quantity B: Measure of angle 2 + Measure of angle 4
- Relationship Indeterminate
- Quantity A is greater
- Quantity A equals Quantity B
- Quantity B is greater
Q.44)
Diagram is illustrative and is not drawn to scale.
In triangle ABC, AB = AC and measure of angle 1 = 100^{o}.
Quantity A: Measure of angle 2 + Measure of angle 3
Quantity B: 90^{o}
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
- Quantity A is greater
Q.45)
Diagram is illustrative and is not drawn to scale.
Given angles 1 and 2 are equal,
length of side AB = x, length of side BC = y, length of side AC = z.
Quantity A: x + y
Quantity B: y + z
- Quantity B is greater
- Quantity A equals Quantity B
- Quantity A is greater
- Relationship Indeterminate
Q.46) x and y are both positive and x/y > 5
Quantity A: 0.2x
Quantity B: y
- Quantity B is greater
- Relationship Indeterminate
- Quantity A equals Quantity B
- Quantity A is greater
Q.47) yz < 0
Quantity A: (y – z)^{2}
Quantity B: y^{2} + z^{2}
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.48) For any positive integer n,
n! is the product of all positive integers less than or equal to n.
Quantity A: 20! / 17!
Quantity B: 80! / 78!
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.49) 2 < z < 4
Quantity A: π^{2}z^{3}
Quantity B: π^{3}z^{2}
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.50) Amy, Beth and Charlie divided a pizza amongst themselves.
Amy took 30% of the pizza and ate (3/4) of what she took.
Beth took 20% of the pizza.
Charlie ate (2/5) of what he took.
Quantity A: The amount Amy ate
Quantity B: The amount Charlie ate
- Quantity A is greater
- Quantity B is greater
- Quantity A equals Quantity B
- Relationship Indeterminate
Q.51) p > 0 > q
Quantity A: p + q
Quantity B: pq
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The quantities are equal.
- The relationship cannot be determined from the information given.
Q.52) Quantity A: The average (arithmetic mean) of x and y
Quantity B: The average (arithmetic mean) of x – 1 and y + 1
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The quantities are equal.
- The relationship cannot be determined from the information given.
Q.53) The integer (x – 1) is a prime number between 40 and 50.
Quantity A: The sum of all different prime factors of x
Quantity B: 14
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The quantities are equal.
- The relationship cannot be determined from the information given.
Q.54) A < C
B > D > 0
Quantity A: A – B
Quantity B: C – D
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The quantities are equal.
- The relationship cannot be determined from the information given.
Q.55) In a particular jellybean jar, the number of red jellybeans exceeds the number of white ones by a ratio of 3:2. If two red jellybeans were removed, the ratio of red to white jellybeans would be 1:1.
Quantity A: The number of white jellybeans in the jar
Quantity B: 4
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The quantities are equal.
- The relationship cannot be determined from the information given.
Q.56) Is x equal to 0?
Quantity A: (x + 1)2 = 12
Quantity B: x2 + 3x = 0
- Quantity A on its own is sufficient to answer the question but Quantity B on its own is not.
- Quantity B on its own is sufficient to answer the question but Quantity A on its own is not.
- Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
- Either statement on its own is sufficient to answer the question
- Both statements put together are still insufficient to answer the question
Q.57) Is p a positive number?
Quantity A: p3 > 0
Quantity B: 10p > 1
- Quantity A on its own is sufficient to answer the question but Quantity B on its own is not.
- Quantity B on its own is sufficient to answer the question but Quantity A on its own is not.
- Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
- Either statement on its own is sufficient to answer the question
- Both statements put together are still insufficient to answer the question
Q.58) Lioudmila took a test where there were two types of questions, type I and type II. 2 points were awarded for getting a type I question correct. 5 points were awarded for getting a type II question correct, and there is no penalty for getting questions wrong. How many type I questions did she answer correctly?
Quantity A: She answered 11 questions correctly.
Quantity B: She was awarded 43 points.
- Quantity A on its own is sufficient to answer the question but Quantity B on its own is not.
- Quantity B on its own is sufficient to answer the question but Quantity A on its own is not.
- Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
- Either statement on its own is sufficient to answer the question
- Both statements put together are still insufficient to answer the question
Q.59) a and b are integers. What are the values of a and b?
Quantity A: 2a.3b = 144
Quantity B: 2a+1.3b-1 = 96
- Quantity A on its own is sufficient to answer the question but Quantity B on its own is not.
- Quantity B on its own is sufficient to answer the question but Quantity A on its own is not.
- Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
- Either statement on its own is sufficient to answer the question
- Both statements put together are still insufficient to answer the question
Q.60) Is x bigger than 5?
Quantity A: 2x + 9 < 4y + 1
Quantity B: 8y + 2 < 5x + 7
- Quantity A on its own is sufficient to answer the question but Quantity B on its own is not.
- Quantity B on its own is sufficient to answer the question but Quantity A on its own is not.
- Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
- Either statement on its own is sufficient to answer the question
- Both statements put together are still insufficient to answer the question
ANSWER SHEET
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25 |
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45 |
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46 |
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7 |
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27 |
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47 |
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8 |
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28 |
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48 |
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29 |
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49 |
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10 |
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30 |
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50 |
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11 |
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31 |
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51 |
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12 |
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32 |
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52 |
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13 |
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33 |
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53 |
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14 |
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34 |
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54 |
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15 |
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35 |
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55 |
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16 |
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36 |
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56 |
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37 |
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57 |
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38 |
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