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 :

A number consists of three digits of which the middle one is zero and the sum of the other digits is 9. The number formed by interchanging the first and third digits is more than the original number by 297. Find the number.

Answer :

Question 3 :

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

A)  0

B)  1

C)  log 2

D)  log 3

Answer :

Question 4 :

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 5 :

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 6 :

The age of a man is three times the sum of the ages of his two sons and 5 years hence his age will be double the sum of their ages. Find the present age of the man.

Answer :

Question 7 :

If α and β be the roots of x² + 7x + 12 = 0, find the quadratic equation whose roots are (α + β)² and (α – β)².

Answer :

Question 8 :

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

Answer :

Question 9 :

Simplify :

√25%

A)  5%

B)  50%

C)  125%

D)  150%

Answer :

Question 10 :

(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 11 :

If the numerator of a fraction is increased by 2 and the denominator by 1 it becomes 1. Again if the numerator is decreased by 4 and the denominator by 2 it becomes 1/2 . Find the fraction.

Answer :

Question 12 :

Which number is larger ?

3⁷⁵     and    2¹⁰⁰

Answer :

Question 13 :

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 14 :

The value of the above expression is :

A)  t

B)  a^bcdt

C)  a + b + c + d + t

D)  None of these

Answer :

Question 15 :

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 16 :

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 17 :

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 18 :

Evaluate :

Answer :

Question 19 :

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 20 :

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 21 :

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 22 :

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 23 :

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 24 :

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 25 :

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 26 :

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 :

Question 27 :

If α and β be the roots of 2x² - 4x - 1 = 0, find the value of α²/β + β²/α.

Answer :

Question 28 :

The average salary of a group of unskilled workers is $10,000 and that of a group of skilled workers is $15,000. If the combined salary is $12,000, then what is the percentage of skilled workers?

Answer :

Question 29 :

If the speed of a car is increased by 60%, by what percentage will the time taken to travel decrease?

Answer :

Question 30 :

An aeroplane flies from A to B at the rate of 500 km/hour and comes back from B to A at the rate of 700 km/hour. The average speed of the aeroplane is

A)  600 km. per hour

B)  583.33 km. per hour

C)  100√35 km. per hour

D)  620 km. per hour.

Answer :

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