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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

Answer: (b)

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

Answer: (d)

Explanation:  As quantity 1 = a = 4u + 5
= 4 (4) + 5
= 16 + 5
= 21 = quantity 2.

Therefore the answer is (d)

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

Answer:  (a)

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

Answer: (a)

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

Answer: (b)

Explanation: 8/136 = 0.04; 0.45/9 = 0.05
Therefore (b) is the answer

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

Answer: (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

Answer: (d)

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

Answer: (b)

Explanation: 7/147 = 0.05; 0.35/8 = 0.38
Therefore (b) is the answer

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

Answer:  (d)

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

Answer: (d)

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
Therefore the answer is (d).

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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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