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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. Quantity 1: 9/84

Quantity 2: 1.20/15

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: 9/84= 0.107; 1.20/15= 0.08

2. h + e = 70

Quantity 1: 20

Quantity 2: h - e

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 70 = h + e and quantity 2 is h - e, option (c) is the right answer

3. Q = 2/f + 2/p = 2/6

C = 2/f2 + 2/p2 = 7/9

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

Explanation: N = 2/f2 + 2/p2 = 7/9 = 1/f2 + 1/p2 = 7/18

M = 2/f + 2/p = 2/6 = 1/f + 1/p = 1/6

M2 = 1/f2 + 2/fp + 1/p2 = 1/36

M2 = 1/f2 + 1/p2 =1/36 - 2/fp

Therefore the relation between Q and C is not defined.

4. 30 > e < 60, while 16 > j < 26

Quantity 1: e

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 30 and 60, and quantity 2 can be any number between 16 and 26, option (d) is the right answer

5. R + 5A >10

Quantity 1: 10R + 2A 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:  R + 5C > 10

Hence, R > 10 - 2A

Multiplying by 5 to both sides of inequality,

5R > 50-10A

Hence, 5R + 10A > 5

Now Q1: 10R + 2A

Therefore there is no relation between both the quantities, the correct option is (d)

6. Quantity A: (1/50)1/2 + (1/1081)1/2

Quantity B: (1/44) + (1/55)

1. Quantity A is smaller than Quantity B
2. There is no relation between both the quantities
3. Quantity B is smaller than Quantity A
4. Quantity A = Quantity B

Explanation: Quantity A is the square root followed by division, where as quantity B is just division, hence no relation.

7. g is a negative integer

3/30 = e/q

Quantity 1: g/q

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: 3/30 = g/q

1/10 = g/q

Therefore there is no relation between 1 and 2

8. j + k = 50

Quantity 1: 50

Quantity 2: j - k

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 = j + k and quantity 2 is j - k, option (c) is the right answer

9. Quantity 1: (-8)7
Quantity 2: (-8)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: (-8)7 = -56 while (-8)3= -24, therefore (d) is the right answer

10. E = {(c + 5)/6} - {(c + 1)/9}

L = (c + 2)/4

1. L is greater than E
2. E is greater than L
3. Both E and L are equal
4. There is no relationship between E and L

Explanation: Let x = 1

E = {(1 + 5)/6} - {(1 + 1)/9} = 1-(2/9) = (9 - 2)/9 = 7/9

L = (1 + 2)/4 = 3/4

Therefore E is not equal to L

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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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