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CAT Sample Questions ›› Quantitative Ability

# Quantitative Comparisons

Question 21

u is a negative integer
5/20 = h/k
Quantity 1: u/p
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: 5/20 = u/p
1/2 = u/p
Therefore there is no relation between 1 and 2

Question 22

20 > j < 40, while 25 > p < 58
Quantity 1: j
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 25 and 58, option (d) is the right answer

Question 23

h < 3 and k > 2
Quantity 1: kh
Quantity 2: hk

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

Explanation: hk = kh, therefore (a) is the right answer.

Question 24

W + 3E > 10
Quantity 1: 3W + 6E
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: W + 3E > 20
hence, W > 10 - 3E
Multiplying by 3 to both sides of inequality,
3W > 60-9E
hence, 3W + 9E > 60
Now Q1: 3W + 6E
Q2: 24
Hence, there is no relation between these two.

Question 25

M = 2/b + 2/c = 2/6
N = 2/b2 + 2/c2 = 7/9

1. M and S are equal
2. M > N
3. M < N
4. Relation not defined

Explanation: N = 2/b2 + 2/c2 = 7/9 = 1/b2 + 1/c2 = 7/18
M = 2/b + 2/c = 2/6 = 1/b + 1/c = 1/6
M2 = 1/b2 + 2/bc + 1/c2 = 1/36
M2 = 1/b2 + 1/c2 =1/36 - 2/ac
Therefore the relation between M and N is not defined.

Question 26

R = 0.36
W = 0.42 / 3

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

Explanation: Q = 0.42 / 3 = 0.14, whereas R = 0.36.
Therefore R is greater than Q.

Question 27

Quantity 1: 5/127
Quantity 2: 0.35/9

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: 5/127 = 0.039; 0.35/8 = 0.04

Question 28

Column d = 3b + 6
Column e = 3
Assume that quantity 1 is (d) and quantity 2 is 15. Determine whether

1. Quantity 1 is greater than Quantity 2
2. Quantity 2 is greater than Quantity 1
3. Both the quantities are equal
4. The relationship between the two quantities cannot be determined

Explanation: As quantity 1 = d = 3b + 6
= 3 (3) + 6
= 9 + 6
= 15 = quantity 2.
Therefore the right answer is (c)

Question 29

E + 3C >10
Quantity 1: 3E + 6C
Quantity 2: 28

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 + 3C > 10
Hence, E > 10 - 3B
Multiplying by 3 to both sides of inequality,
3A > 30-9B
Hence, 3E + 9C > 30
Now Q1: 3E + 6C
Q2: 28
Hence, there is no Connection between these two.
Option (d) is the right answer

Question 30

S = the number of hours in 6 days
Y = the number of seconds in 3 minutes

1. Y is greater than S
2. S is greater than Y
3. There is no relation between S and Y
4. S = Y

Explanation: S = 6 * 24 =144
Y = 3 * 60 = 180
Therefore Y is greater than S

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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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