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GRE Sample Questions » Quantitative Section : Quantitative Comparision

# Quantitative Section : Quantitative Comparision

Directions:

In this section there are two quantities. You need to determine the relation between the two quantities.

1. Quantity A: (-8)8
Quantity B: (-8)2

1. Quantity 1 is greater than quantity 2
2. Quantity 2 is greater than quantity 1
3. Both the quantities are equal
4. There is no relationship between the two quantities

Ans : A

Explanation:
(-8)8 = -64 while (-8)2= -16,
Therefore (a) is the right answer

2. Both Tom and Mike started from the same point and covered a distance of 100 miles. Tom is driving at the speed of 25 miles per hour, while Mike is driving at the speed of 40 miles per hour. Determine who reached first.

1. Tom came first
2. Both reached at the same time
3. Mike reached first
4. No relation

Ans : C

Explanation:
Tom is driving at the speed of 25 miles per hour so he reaches in 4 hours, while Mike is driving at a speed of 40 miles per hour, so he reaches in 2.5 hours, hence (c) is the right answer.

3. Quantity A: (5/12)4
Quantity B: (5/12)1/2

1. Quantity 1 is greater than quantity 2
2. Quantity 2 is greater than quantity 1
3. Both the quantities are equal
4. There is no relationship between the two quantities

Ans : A

Explanation:
(5/12)4 = 0.0301; (5/12)1/2 = 0.2083
Therefore quantity 2 is greater than quantity 1

4. Quantity A: 5/125
Quantity B: 0.35/7

1. Quantity 1 is greater than quantity 2
2. Quantity 2 is greater than quantity 1
3. There is no relation between both the quantities
4. Both quantities are equal

Ans : B

Explanation:
5/125 = 0.04; 0.35/7 = 0.05

5. Column a = 3b + 6
Column b = 3

Assume that quantity 1 is (a) and quantity 2 is 15. Determine whether

1. Quantity 1 is greater than 2
2. Quantity 2 is greater than 1
3. Both quantities are equal
4. The relationship between the two quantities cannot be determined

Ans : C

Explanation:
As quantity 1 = a = 3b + 6
= 3 (3) + 6
= 9 + 6
= 15 = quantity 2.

6. C + 3D >10
Quantity A: 3C + 6D
Quantity B: 24

1. Quantity 2 is greater than quantity 1
2. Both the quantities are equal
3. Quantity 1 is greater than quantity 2
4. The relationship between the two quantities cannot be determined

Ans : D

Explanation:
C + 3D > 10
Hence, C > 10 - 3D
Multiplying by 3 to both sides of inequality,
3C > 30-9D
Hence, 3C + 9D > 30
Now Q1: 3C + 6D
Q2: 24
Hence, there is no relation between these two.

7. X = the number of hours in 5 days
Y = the number of seconds in 2 minutes

1. Y is greater than X
2. X is greater than Y
3. There is no relation between X and Y
4. X = Y

Ans : D

Explanation:
X = 5 x 24 =120
Y = 2 x 60 = 120
Therefore X = Y.

8. A = 6-3/28
B = 7/8 + 2/64

1. B is greater than A
2. A is greater than B
3. There is no relationship between A and B
4. A is equal to B

Ans : B

Explanation:
A = 6-3/28 = 3/28 = 0.1071
B = 7/8 + 2/64 = 0.875 + 0.0312 = 0.9062
Therefore A is greater than B

9. R = 2/x + 2/y = 2/6
S = 2/x2 + 2/y2 = 7/9

1. R and S are equal
2. R > S
3. R < S
4. Relation not defined

Ans : D

Explanation:
S = 2/x 2 + 2/y 2 = 7/9 = 1/x 2 + 1/y 2 = 7/18
R = 2/x + 2/y = 2/6 = 1/x + 1/y = 1/6
R 2 = 1/x 2 + 2/xy + 1/y 2 = 1/36
R 2 = 1/x 2 + 1/y 2 =1/36 - 2/xy
Therefore the relation between R and S is not defined.

10. X = 0.36
Y = 0.42 / 3

1. X is greater than Y
2. Y is greater than X
3. X is equal to Y
4. There is no relation between X and Y

Ans : A

Explanation:
Y = 0.42 / 3 = 0.14, whereas X = 0.36.
Therefore X is greater than Y.

GRE Sample Quantitative Ability Question Number : 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60
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