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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

Answer: (c)

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

Answer: (b)

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

Answer: (d)

Explanation: As quantity 1 = h = 4w + 7
= 4 (4) + 7
= 16 + 7
= 23 = quantity 2.
Therefore the answer is (d)

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

Answer: (b)

Explanation: 7/137 = 0.04; 0.45/8 = 0.05
Therefore (b) is the answer

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

Answer: (d)

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

Answer: (d)

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

Answer: (a)

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

Answer: (a)

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

Answer: (d)

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

Answer: (a)

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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