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SAT Sample Questions » Quantitative Section : Quantitative Comparisons

# Quantitative Comparisons

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

1. j is a negative integer
5/10 = j/m
Quantity 1: j/m
Quantity 2: 2

1. Quantity 2 is less than quantity 1
2. Quantity 1 is less than quantity 2
3. Quantity 1 is equal to quantity 2
4. No relation

Explanation: 5/10 = j/m

˝ = j/m

Therefore there is no relation between 1 and 2

2. r< 5 and p > 5

Quantity 1: pr

Quantity 2: rp

1. Both the quantities are equal
2. 1 is less than 2
3. 2 is less than 1
4. No relation

Explanation: rp = pr, therefore (a) is the right answer.

3. Z = 0.36

U = 0.42 / 2

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

Explanation: U = 0.42 / 2 = 0.14, whereas Z = 0.36.

Therefore Z is greater than U.

4. A = the number of hours in 6 days

B = the number of seconds in 3 minutes

1. B is greater than A
2. A is greater than B
3. There is no relation between A and B
4. A = B

Explanation: A = 6 x 24 =144

B = 3 x 60 = 180

Therefore A is not equal to B.

1. Quantity 1: (7/12)4
Quantity 2: (7/12)1/2

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

Explanation: (6/12)4 = 0.0301; (6/12)1/2 = 0.2083

Therefore quantity 2 is greater than quantity 1

5. T = 2/p + 2/x = 2/6

Q = 2/p2 + 2/x2 = 7/9

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

Explanation: R = 2/p2 + 2/x2 = 7/9 = 1/p2 + 1/x2 = 7/18

E = 2/p + 2/x = 2/6 = 1/p + 1/x = 1/6

E2 = 1/p2 + 2/px + 1/x2 = 1/36

E2 = 1/p2 + 1/x2 =1/36 - 2/px

Therefore the relation between T and Q is not defined.

6. 10 > d < 40, while 35 > e < 56

Quantity 1: d

Quantity 2: e

1. Value of quantity 2 is more than value of quantity 1
2. Value of quantity 1 is more than value of quantity 2
3. Values of both quantity 1 and 2 are equal
4. There is no relation between the 2 quantities

Explanation: As quantity 1 can be any number between 10 and 40, and quantity 2 can be any number between 35 and 56, option (d) is the right answer

7. E + 4D >10

Quantity 1: 3E + 6D Quantity 2: 25

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

Explanation:  E + 4D > 10

hence, E > 10 - 3D

Multiplying by 4 to both sides of inequality,

4E > 40-16D

hence, 3E + 16D > 40

Now E1: 3E + 6D

E2: 25

Hence, there is no relation between these two.

8. 20 > d < 40, while 21 > p < 84

Quantity 1: d

Quantity 2: p

1. Value of quantity 2 is more than value of quantity 1
2. Value of quantity 1 is more than value of quantity 2
3. Values of both quantity 1 and 2 are equal
4. There is no relation between the 2 quantities

Explanation: As quantity 1 can be any number between 20 and 40, and quantity 2 can be any number between 21 and 84, option (d) is the right answer

9. Quantity 1: 8/125

Quantity 2: 0.55/9

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

Explanation: 8/125 = 0.064; 0.55/9 = 0.061

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