Quantitative Section : Data Sufficiency

1. 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

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

Ans : D
2. Quantity A: (y + 5) 2
Quantity B: (y - 5) 2

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

Ans : B
3. Quantity A: (1/25) 1/2 + (1/144) 1/2
Quantity B: [(1/25) + (1/144)] 1/2

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

Ans : A

4. y2 + z2 = 34 and yz = 15

Quantity A: y 2 + 2yz + z 2
Quantity B: (y + z) 2

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

Ans : C
5. 100 < y < 200 and 100 < z < 210

Quantity A: y
Quantity B: z

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

Ans : D

6. Quantity A: (y + 5) 2
Quantity B: (y - 5) 2

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

Ans : C
7. 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

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

Ans : C
8. The sum of three consecutive even numbers is 18.

Quantity A: Their average
Quantity B: 6

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

Ans : C
9. x - y > 10

Quantity A: y - x
Quantity B: 12

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

Ans : A
10. x = 0, y > 0

Quantity A: xy
Quantity B: yx

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

Ans : C

1.

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

Ans : B

2. Quantity A: 2 9
Quantity B: 9 2
1. Quantity B is greater
2. Quantity A is greater
3. Relationship Indeterminate
4. Quantity A equals Quantity B

Ans : B
3. 0 < -x < 10
11 < -y < 20

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

Ans : D
4.

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

Ans : B
5.

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

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

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

Ans : A
7.

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

Ans : A
8. y 2 = 36

Quantity A: y
Quantity B: 6
1. Relationship Indeterminate
2. Quantity A is greater
3. Quantity B is greater
4. Quantity A equals Quantity B

Ans : A
9.

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

Ans : D
10.

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

Ans : C

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