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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. D + 5C >10

Quantity 1: 10D + 2C Quantity 2: 34

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:  D + 5C > 10

Hence, D > 10 - 2C

Multiplying by 5 to both sides of inequality,

5D > 50-10C

Hence, 5D + 10C > 5

Now Q1: 10D + 2C

2. 40 > v < 70, while 26 > a < 86

Quantity 1: v

Quantity 2: a

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 40 and 70, and quantity 2 can be any number between 26 and 86, option (d) is the right answer

3. E = the number of hours in 3 days

Z = the number of seconds in 10 minutes

1. Z is greater than E
2. E is greater than Z
3. There is no relation between E and Z
4. E = Z

Explanation: E = 3 x 24 =72

Z = 10 x 60 = 600

Therefore P is not equal to Z.

4. s is a negative integer

2/50 = s/g

Quantity 1: s/g

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: 2/50 = s/g

˝ = u/p

Therefore there is no relation between 1 and 2

5. C + 3Z >10

Quantity 1: 3C + 6Z Quantity 2: 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

Explanation:  C + 3Z > 10

hence, C > 10 - 3Z

Multiplying by 2 to both sides of inequality,

2C > 20-6Z

hence, 2C + 6Z > 20

Now Q1: 3C + 6Z

Q2: 24

Hence, there is no relation between these two.

6. F = 2/w + 2/c = 2/6

A = 2/w2 + 2/c2 = 7/9

1. F and A are equal
2. F> A
3. F< A
4. Relation not defined

Explanation: N = 2/w2 + 2/c2 = 7/9 = 1/w2 + 1/c2 = 7/18

M = 2/w + 2/c = 2/6 = 1/w + 1/c = 1/6

M2 = 1/w2 + 2/wc + 1/c2 = 1/36

M2 = 1/w2 + 1/c2 =1/36 - 2/wc

Therefore the relation between F and A is not defined.

7. Quantity 1: 3/124

Quantity 2: 0.56/5

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: 3/124= 0.024; 0.56/5= 0.112

8. c + z = 50

Quantity 1: 20

Quantity 2: c - z

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

Explanation: As quantity 1 is 50 = c + z and quantity 2 is c - z, option (c) is the right answer

9. Quantity 1: (-7)7
Quantity 2: (-7)3

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

Explanation: (-7)7 = -49 while (-7)3= -21, therefore (a) is the right answer

10. Quantity 1: 6/784

Quantity 2: 1.45/25

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 the quantities are equal

Explanation: 6/784= 0.007; 1.45/25= 0.058

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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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