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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 11

L = 7-3/28
E = 7/8 + 2/75

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

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

Question 12

Column a = 4u + 5
Column u = 4
Assume that quantity 1 is (a) 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 = a = 4u + 5
= 4 (4) + 5
= 16 + 5
= 21 = quantity 2.

Question 13

Quantity 1: (7/14)3
Quantity 2: (7/14)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: (7/14)3 = 0.0301; (7/14)1/2 = 0.2083
Therefore quantity 2 is greater than quantity 1

Question 14

W = 0.26
U = 0.52 / 3

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

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

Question 15

Quantity 1: 8/136
Quantity 2: 0.45/9

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: 8/136 = 0.04; 0.45/9 = 0.05

Question 16

Quantity A: (1/50)1/2 + (1/1099)1/2

Quantity B: (1/64) + (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.

Question 17

t is a negative integer
5/30 = t/p

Quantity 1: t/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: 5/30 = t/p
1/2 = t/p
Therefore there is no relation between 1 and 2

Question 18

Quantity 1: 7/147
Quantity 2: 0.35/8

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 the quantities are equal

Explanation: 7/147 = 0.05; 0.35/8 = 0.38

Question 19

B = {(c + 5)/6} - {(c + 1)/9}
L = (c + 2)/4

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

Explanation: Let x = 1
J = {(1 + 5)/6} - {(1 + 1)/9} = 1-(2/9) = (9 - 2)/9 = 7/9
L = (1 + 2)/4 = 3/4
Therefore B is not equal to L

Question 20

E= (2 x 5 x 10)/(1600)1/2
W = (4 x 5 x 16)/(32 x 50)1/2

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

Explanation:  E = (2 x 5 x 10)/(1600)1/2 = 100/32 = 2.5
W = (4 x 5 x 16)/(32 x 50)1/2 = 320/32 = 3.7

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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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