Linear Equations in Two Variables - Set 4

Question 1

The larger of two supplementary angles exceeds the smaller by 24 degrees. Then the angles are

Accepted Answer

102, 78

Answer

112, 88

Answer

92, 68

Answer

122, 98

Question 2

If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then the age of the father is

Accepted Answer

45 years

Answer

40 years

Answer

50 years

Answer

55 years

Question 3

Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is

Accepted Answer

30 years

Answer

28 years

Answer

32 years

Answer

34 years

Question 4

The equations x - y = 0.9 and x + y = 11/2 have the solution

Accepted Answer

x = 3.2 and y = 2.3

Answer

x = 5, y = 1

Answer

x = 3, y = 2

Answer

None of these

Question 5

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is

Accepted Answer

36

Answer

25

Answer

72

Answer

63

Question 6

If 2x + 3y = 0 and 4x - 3y = 0, then x + y equals

Accepted Answer

0

Answer

-1

Answer

1

Answer

2

Question 7

A fraction becomes 4/5 when 1 is added to each of the numerator and denominator. However, if we subtract 5 from each then it becomes 1/2. The fraction is

Accepted Answer

7/9

Answer

5/8

Answer

5/6

Answer

13/16

Question 8

Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of one chair and one table is

Accepted Answer

Rs. 850

Answer

Rs. 800

Answer

Rs. 900

Answer

Rs. 950

Question 9

A man, when asked how many hens and buffaloes he has, told that his animals have 120 eyes and 180 legs. How many hens and buffaloes has he?

Accepted Answer

30, 30

Answer

40, 20

Answer

50, 10

Answer

35, 15

Question 10

If bx + ay = a^2 + b^2 and ax - by = 0, then the value of (x - y) is

Accepted Answer

b - a

Answer

a - b

Answer

a^2 - b^2

Answer

b^2 + a^2

Linear Equations in Two Variables - Set 4

Linear Equations in Two Variables - Set 4

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