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CAT Sample Questions ›› Quantitative Ability

# Quantitative Comparisons

Question 41: In this section there are two quantities. You need to determine the relation between the two quantities.

1. Quantity 1: (6/14)4
Quantity 2: (6/14)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: (6/14)4 = 0.0301; (6/14)1/2 = 0.2083
Therefore quantity 2 is greater than quantity 1

Question 42

Y = the number of hours in 5 days
Z = the number of seconds in 2 minutes

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

Explanation: Y = 5 x 24 =120
Z = 2 x 60 = 120
Therefore Y = Z.

Question 43

M = 0.26
U = 0.52 / 3

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

Explanation: U = 0.52 / 3 = 0.14, whereas M = 0.26.
Therefore U is greater than M.

Question 44

q < 3 and o > 3
Quantity 1: oq
Quantity 2: qo

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

Explanation: qo = oq, therefore (a) is the right answer.

Question 45

20 > y < 50, while 25 > h < 74
Quantity 1: y
Quantity 2: h

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 50, and quantity 2 can be any number between 25 and 74, option (d) is the right answer

Question 46

m is a negative integer
2/20 = m/a
Quantity 1: m/a
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: 2/20 = m/a
1/2 = m/a
Therefore there is no relation between 1 and 2

Question 47

Quantity 1: 6/136
Quantity 2: 0.45/8

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: 6/136 = 0.04; 0.45/8 = 0.05

Question 48

Column r = 4p + 6
Column p = 4
Assume that quantity 1 is (r) 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 = r = 4p + 6
= 4 (4) + 6
= 16 + 6
= 22 = quantity 2.

Question 49

U + 4V > 10
Quantity 1: 4U + 6V
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: U + 4V > 10
Hence, U > 10 - 3V
Multiplying by 3 to both sides of inequality,
4U > 30-9V
Hence, 4U + 9V > 30
Now Q1: 4U + 6V

Question 50

Q = 6-3/28
E = 7/8 + 2/75

1. E is greater than Q
2. Q is greater than E
3. There is no relationship between Q and E
4. A is equal to E

Explanation: Q = 6-3/28 = 3/28 = 0.107
E = 7/8 + 2/75 = 0.0442 + 0.0266 = 0.0708
Therefore Q is greater than E

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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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