Class 10, Pair of Linear Equations in 2 Variables, CBSE Online Test Paper (Set-II)

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Pair of linear equations x+2y+5 =0 and 3x+6y -1 =0 have

exactly two solutions

infinitely many solutions

unique solution

no solution

Question 1 of 30

2. Which of the following is not a solution of pair of equations 3x - 2y = 4 and 6x - 4y = 8?

x = 6, y = 7

x = 2, y = 1

x = 4, y = 4

x = 5, y = 3

Question 2 of 30

3. The values of x and y which satisfy the equations: 47x + 31y = 63 and 31x + 47y=15 are ____________

-2 and -1

-2 and 1

2 and 1

Question 3 of 30

4. The pair of equations y = 0 and y = -7 has :

no solution

infinitely many solutions

one solution

two solutions

Question 4 of 30

5. The pair of linear equations 8x - 5y = 7 and 5x - 8y = -7 have:

No solution

One solution

Two solutions

Many solutions

Question 5 of 30

6. A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Sunil paid Rs 28 for a book kept for seven days, while Sohail paid Rs 32 for the book he kept for nine days. Find the charge for each extra day

Rs 3

Rs 2

Rs 18

Rs 20

Question 6 of 30

7. Which of the following points lie on the line

(1, 1)

(1, 0)

(2, 1)

(0, 1)

Question 7 of 30

8. What would be the graphical representation of the pair of linear equation 3x - 5y = -9 and 6x - 10y = -8

intersecting lines

coincident lines

parallel lines

none

Question 8 of 30

9. 3 women and 6 men can together finish a tailoring job in 5 days, while 4 women and 7 men can finish it in 4 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. The linear equations(in standard form) to solve this problem algebraically are

16u + 30v - 1 = 0; 16u + 28v - 1 = 0

15x - 30y + 1 = 0; 16x + 28y +1 = 0

16x + 30y - 1 = 0; 16x + 28y - 1 = 0

15u + 30v - 1 = 0; 16u + 28v - 1 = 0

Question 9 of 30

10. The present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?

50 years

30 years

60 years

40 years

Question 10 of 30

11. The pair of linear equations x + y + 10 = 0 and x + y - 7 = 0 has:

No solutions

One solution

Infinitely many solutions

Two solutions

Question 11 of 30

12. The value of y in the system 2

+ 3y = 6 and 5y -2

= 10 is

y = 1/2

y = 2

y = -1/2

y = - 2

Question 12 of 30

13. The following pairs of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

Intersecting

Parallel lines

Coincident lines

None from a, b, c

Question 13 of 30

14.

How many solutions are possible for the following pair of equation?

2 x + 4 y -12= 0 and x + 2y- 4 =0

One solution

No solution

Infinite solutions

Solution for ax + by = a - b and bx - ay = a + b is

1, -1

-1, 1

a, b

-a, -b

Question 15 of 30

16.

If x + 2y = 5 & x - 2y = 7, then the value of x & y is: -

x = 6 & y = 3

x = 12 & y = -1/2

x = 6 & y = -1/2

None of the above

Question 16 of 30

17. If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are, respectively.

3 and 1

5 and 3

3 and 5

-1 and -3

Question 17 of 30

18.

The value of x in the system x - 3y = 7; 3x - 3y = 15 is:

x = 4

x = -4

x = - 11

x = 11

Question 18 of 30

19. For what value of 'K' will the system of equations:
3x + y = 1, (2K - 1) x + (K - 1) y = 2K + 1
have no solution?

-2

Question 19 of 30

20. Which of the following pair of linear equations is inconsistent?

5x - 3y =11; 7x + 2y =13

2x + 3y = 7; 4x + 6y = 5

9x - 8y = 17; 18x -16y = 34

x - 2y = 6; 2x + 3y = 4

Question 20 of 30

21. Two lines are said to be inconsistent if and only if,

Question 21 of 30

22. The solution for the equations

and

are

Question 22 of 30

23. Find the solution of the following system of linear equations from the given options.

Question 23 of 30

24. Solve x + y = 10 ;x - y = 2, by the method of substitution.

x = 6 , y = -4

x = 4 , y = 6

x = 6 , y = 4

x = -6 , y = 4

Question 24 of 30

25. The present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?

60 years

30 years

50 years

40 years

Question 25 of 30

26. Solution of the pair of equations and