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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. i + a = 90

Quantity 1: 20

Quantity 2: i - a

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 90 = i + a and quantity 2 is i - a, option (c) is the right answer

2. 40 > d < 70, while 19 > m < 36

Quantity 1: a

Quantity 2: b

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 19 and 36, option (d) is the right answer

3. Quantity A: (1/90)1/2 + (1/1245)1/2

Quantity B: (1/26) + (1/43)

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.

4. i + m = 70

Quantity 1: 70

Quantity 2: i - m

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

5. Quantity 1: (-4)7 Quantity 2: (-4)4

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: (-4)7 = -28 while (-4)4= -16, therefore (d) is the right answer

6. i is a negative integer

4/20 = i/b

Quantity 1: i/b

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: 4/20 = i/b

1/5 = i/b

Therefore there is no relation between 1 and 2

7. M = {(c + 5)/6} - {(c + 1)/8}

D= (c + 2)/4

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

Explanation: Let x = 1

M = {(1 + 5)/6} - {(1 + 1)/8} = 1-(2/8) = (8 - 2)/8 = 7/8

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

Therefore M is not equal to D

8. W = (y-2)(y)(y+2)

A = (y)(y)(y)(y)

1. W is equal than A
2. W is greater than A
3. There is no relation between Q and W
4. A is greater than W

Explanation: Let y = 1 W = (1 - 2)(1)(1 + 2) = (-1)(1)(3) = -3 A = (1)(1)(1)(1) = 1 Therefore (c) is the right answer

9. In a right angled triangle GHI, 1 = GH = HI 2 = GI

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

Explanation: As this is a right angled equilateral triangle, we apply the Pythagoras theorem.
Let GH = a, HI = b and GI = c
According to the Pythagoras theorem, a2 + b2 = c2
As the square of the third side is the sum of the squares of the other two sides, option (b) is the right answer.

10. Z= (2 x 5 x 10)/(1500)1/2

W = (4 x 5 x 16)/(32 x 50)1/2

1. Z is greater than W
2. Z is equal to W
3. W is greater than Z
4. No relationship between W and Z

Explanation:  Z = (2 x 5 x 10)/(1500)1/2 = 100/32 = 2.5

W = (4 x 5 x 16)/(32 x 50)1/2 = 320/32 = 10

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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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