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.
1.

Diagram is illustrative and is not drawn to scale.

Quantity A: Measure of angle 2 + Measure of angle 3
Quantity B: 180 o
1. Quantity B is greater
2. Quantity A is greater
3. Quantity A equals Quantity B
4. Relationship Indeterminate

Ans : C
2.

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
1. Relationship Indeterminate
2. Quantity A is greater
3. Quantity B is greater
4. Quantity A equals Quantity B

Ans : D
3.

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
1. Relationship Indeterminate
2. Quantity A is greater
3. Quantity A equals Quantity B
4. Quantity B is greater

Ans : A
4.

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
1. Quantity B is greater
2. Quantity A equals Quantity B
3. Relationship Indeterminate
4. Quantity A is greater

Ans : A
5.

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
1. Quantity B is greater
2. Quantity A equals Quantity B
3. Quantity A is greater
4. Relationship Indeterminate

Ans : B
6. x and y are both positive and x/y > 5

Quantity A: 0.2x
Quantity B: y
1. Quantity B is greater
2. Relationship Indeterminate
3. Quantity A equals Quantity B
4. Quantity A is greater

Ans : D
7. yz < 0

Quantity A: (y - z) 2
Quantity B: y 2 + z 2
1. Quantity A is greater
2. Quantity B is greater
3. Quantity A equals Quantity B
4. Relationship Indeterminate

Ans : A
8. 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!
1. Quantity A is greater
2. Quantity B is greater
3. Quantity A equals Quantity B
4. Relationship Indeterminate

Ans : A
9. 2 < z < 4

Quantity A: p 2 z 3
Quantity B: p 3 z 2
1. Quantity A is greater
2. Quantity B is greater
3. Quantity A equals Quantity B
4. Relationship Indeterminate

Ans : D
10. 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
1. Quantity A is greater
2. Quantity B is greater
3. Quantity A equals Quantity B
4. Relationship Indeterminate

Ans : A
11.

* p > 0 > q

Quantity A: p + q
Quantity B: pq
1. The quantity in Column A is greater.
2. The quantity in Column B is greater.
3. The quantities are equal.
4. The relationship cannot be determined from the information given.

Ans : D
* Quantity A: The average (arithmetic mean) of x and y
Quantity B: The average (arithmetic mean) of x - 1 and y + 1
1. The quantity in Column A is greater.
2. The quantity in Column B is greater.
3. The quantities are equal.
4. The relationship cannot be determined from the information given.

Ans : C
* 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
1. The quantity in Column A is greater.
2. The quantity in Column B is greater.
3. The quantities are equal.
4. The relationship cannot be determined from the information given.

Ans : B
* A < C
B > D > 0

Quantity A: A - B
Quantity B: C - D
1. The quantity in Column A is greater.
2. The quantity in Column B is greater.
3. The quantities are equal.
4. The relationship cannot be determined from the information given.

Ans : B
* 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
1. The quantity in Column A is greater.
2. The quantity in Column B is greater.
3. The quantities are equal.
4. The relationship cannot be determined from the information given.

Ans : C
* Is x equal to 0?

Quantity A: (x + 1)2 = 12
Quantity B: x2 + 3x = 0
1. Quantiy A on its own is sufficient to answer the question but Quantiy B on its own is not.
2. Quantiy B on its own is sufficient to answer the question but Quantiy A on its own is not.
3. Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
4. Either statement on its own is sufficient to answer the question
5. Both statements put together are still insufficient to answer the question

Ans : C
* Is p a positive number?

Quantity A: p3 > 0
Quantity B: 10p > 1
1. Quantiy A on its own is sufficient to answer the question but Quantiy B on its own is not.
2. Quantiy B on its own is sufficient to answer the question but Quantiy A on its own is not.
3. Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
4. Either statement on its own is sufficient to answer the question
5. Both statements put together are still insufficient to answer the question

Ans : D
* 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.
1. Quantiy A on its own is sufficient to answer the question but Quantiy B on its own is not.
2. Quantiy B on its own is sufficient to answer the question but Quantiy A on its own is not.
3. Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
4. Either statement on its own is sufficient to answer the question
5. Both statements put together are still insufficient to answer the question

Ans : C
* 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
1. Quantiy A on its own is sufficient to answer the question but Quantiy B on its own is not.
2. Quantiy B on its own is sufficient to answer the question but Quantiy A on its own is not.
3. Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
4. Either statement on its own is sufficient to answer the question
5. Both statements put together are still insufficient to answer the question

Ans : D
* Is x bigger than 5?

Quantity A: 2x + 9 < 4y + 1
Quantity B: 8y + 2 < 5x + 7
1. Quantiy A on its own is sufficient to answer the question but Quantiy B on its own is not.
2. Quantiy B on its own is sufficient to answer the question but Quantiy A on its own is not.
3. Both statements together are sufficient to answer the question but neither statement is sufficient on its own.
4. Either statement on its own is sufficient to answer the question
5. Both statements put together are still insufficient to answer the question

Ans : C

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