QUANTITATIVE REASONING QUESTIONS AND ANSWERS

Question 1 :

a is 3700% greater than b. a is also 5% less than c. c is what percent greater than b?

Answer :

Question 2 :

7log(16/15) + 5log(25/24) + 3log(81/80) is equal to :

A)  0

B)  1

C)  log 2

D)  log 3

Answer :

Question 3 :

Two numbers are in the ratio 7 : 8. If 3 is added to each of them, their ratio becomes 8 : 9. The numbers are :

A)  14, 16

B)  24, 27

C)  21, 24

D)  16, 18

Answer :

Question 4 :

If 5 machines take 5 minutes to make 5 boxes, how long will 1 machine take to make 1 box ?

A)  1 minute

B)  5 minutes

C)  10 minutes

D)  25 minutes

Answer :

Question 5 :

The sum of a, b and c is 14 and 9a + 8b + 6c = 101. What is the value of 2a + b – c ?

Answer :

Question 6 :

Simplify :

√25%

A)  5%

B)  50%

C)  125%

D)  150%

Answer :

Question 7 :

(a^1/8 + a^-1/8)(a^1/8 - a^-1/8)(a^1/4 + a^-1/4)(a^1/2 + a^-1/2)

Value of the above expression is :

A)  a + 1/a

B)  a - 1/a

C)  a² + 1/a²

D)  a² - 1/a²

Answer :

Question 8 :

Which number is larger ?

3⁷⁵     and    2¹⁰⁰

Answer :

Question 9 :

When 32 is added to 80% of a number, the result is the same number. What is that number?

A)  200

B)  160

C)  32

D)  16

Answer :

Question 10 :

The value of the above expression is :

A)  t

B)  a^bcdt

C)  a + b + c + d + t

D)  None of these

Answer :

Question 11 :

An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to melt with 24 kg of copper is :

A)  10 ⅔ kg

B)  10 ⅓ kg

C)  9 ⅔ kg

D)  9 kg

Answer :

Question 12 :

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally entire cost of the car, then the share of each of the remaining persons increased by :

A)  1/9

B)  1/8

C)  1/7

D)  7/8

Answer :

Question 13 :

If log₁₀₀₀₀ x = -1/4, then x is given by

A)  1/100

B)  1/10

C)  1/20

D)  None of these

Answer :

Question 14 :

Evaluate :

Answer :

Question 15 :

If 3/(a + b) = 5/(a + c) = 4/(b + c) and 3a + 5b + 4c = 69, find the values of a, b and c.

Answer :

Question 16 :

If p : q is the sub-duplicate ratio of p - x² : q - x², then x² is

A)  p/(p + q)

B)  q/(p + q)

C)  pq/(p + q)

D)  None of these

Answer :

Question 17 :

A box contains $56 in the form of coins of 1-dollar, half-dollar and quarter. The number of half-dollar coins is double the number of quarters and four times the numbers of 1-dollar coins. The number of half-dollar coins in the box is :

A)  64

B)  32

C)  16

D)  14

Answer :

Question 18 :

If 4(x + 1) is a positive integer and also a multiple of 8, then which of the following is a possible value of x?

A)  22

B)  94

C)  41

D)  50

Answer :

Question 19 :

The heights of two triangles are in the ratio 3 : 5. The base of the second triangle is 4 units and the ratio of the areas of two triangles is 9 : 4. Determine the base of the first triangle.

Answer :

Question 20 :

If 2^x ⋅ 3^y ⋅ 5^z = 720, then what are the values of x, y and z?

A)  (4, 2, 1)

B)  (1, 2, 4)

C)  (2, 4, 1)

D)  (1, 4, 2)

Answer :

Question 21 :

The number a is 110% greater than thenumber b. The number b is 90% less than 47. What is the value of a?

Answer :

Question 22 :

Two numbers are in the ratio 2 : 3 and the difference of their squares is 320. The numbers are :

A)  12, 18

B)  16, 24

C)  14, 21

D)  None if these

Answer :

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