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CAT Sample Questions ›› Quantitative Ability

# Quantitative Comparisons

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

Question 1

1. Quantity 1: (-9)8
Quantity 2: (-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

Explanation: (-9)8 = -81 while (-8)2= -16, therefore (a) is the right answer

Question 2

2. Quantity 1: (6/12)4
Quantity 2: (6/12)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

Question 3

3. Column e = 3s + 6
Column s = 3
Assume that quantity 1 is (e) 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

Explanation: As quantity 1 = e = 3s + 6
= 3 (3) + 6
= 9 + 6
= 15 = quantity 2.

Question 4

A = the number of hours in 5 days
B = the number of seconds in 2 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 = 5 x 24 =120
B = 2 x 60 = 120
Therefore A = B.

Question 5

E = 2/a + 2/y = 2/6
R = 2/a2 + 2/y2 = 7/9

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

Explanation: R = 2/a2 + 2/y2 = 7/9 = 1/a2 + 1/y2 = 7/18
E = 2/a + 2/y = 2/6 = 1/a + 1/y = 1/6
E2 = 1/a2 + 2/ay + 1/y2 = 1/36
E2 = 1/a2 + 1/y2 =1/36 - 2/ay
Therefore the relation between E and R is not defined.

Question 6

V = 0.36
W = 0.42 / 3

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

Explanation: W = 0.42 / 3 = 0.14, whereas V = 0.36.
Therefore V is greater than W.

Question 7

Q + 3F >10
Quantity 1: 3Q + 6F
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: Q + 3F > 10
hence, Q > 10 - 3F
Multiplying by 3 to both sides of inequality,
3Q > 30-9F
hence, 3Q + 9F > 30
Now Q1: 3Q + 6F
Q2: 24
Hence, there is no relation between these two.

Question 8

m < 2 and n > 2
Quantity 1: nm
Quantity 2: mn

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

Explanation: mn = nm, therefore (a) is the right answer.

Question 9

10 > p < 30, while 22 > w < 56
Quantity 1: p
Quantity 2: w

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 30, and quantity 2 can be any number between 22 and 56, option (d) is the right answer

Question 10

h is a negative integer
5/10 = h/k
Quantity 1: h/k
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 = h/k
1/2 = h/k
Therefore there is no relation between 1 and 2

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