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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 51

t + p = 15
Quantity 1: 14
Quantity 2: t - p

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 14 = t + p and quantity 2 is t - p, option (c) is the right answer

Question 52

W = 7-3/28
D = 7/8 + 2/75

1. D is greater than W
2. W is greater than D
3. There is no relationship between W and D
4. W is equal to D

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

Question 53

Column h = 4w + 7
Column p = 4
Assume that quantity 1 is (h) 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 = h = 4w + 7
= 4 (4) + 7
= 16 + 7
= 23 = quantity 2.

Question 54

Quantity 1: 7/137
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: 7/137 = 0.04; 0.45/8 = 0.05

Question 55

k is a negative integer
10/20 = k/a
Quantity 1: k/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: 10/20 = k/a
1/2 = k/a
Therefore there is no relation between 1 and 2

Question 56

40 > g < 50, while 25 > h < 84
Quantity 1: g
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 40 and 50, and quantity 2 can be any number between 25 and 84, option (d) is the right answer

Question 57

g < 5 and r > 5
Quantity 1: rg
Quantity 2: gr

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

Explanation: gr = rg, therefore (a) is the right answer.

Question 58

P = 0.26
U = 0.52 / 4

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

Explanation: U = 0.52 / 4 = 0.14, whereas P = 0.26.
Therefore U is greater than P.

Question 59

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

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

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

Question 60

1. Quantity 1: (6/15)4
Quantity 2: (6/15)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: (6/15)4 = 0.0301; (6/15)1/2 = 0.2083
Therefore quantity 2 is greater than quantity 1

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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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