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

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

x = 4

x = -4

x = 11

x = - 11

Question 1 of 30

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

x = 4

x = -4

x = 11

x = - 11

Question 2 of 30

3. The values of x and y that satisfy the pair of equations:

5 and 4

4 and 5

1/3, 1/5

1/5, 1/3

Question 3 of 30

4. The sum of ages of A and B is 50 years. A said to B, “I am twice as old as you were when I was as old as you are. Find the present age of B

Question 4 of 30

5. One equation of a pair of dependent linear equations is -5x + 7y = 2, the second equation can be

-10x + 14y + 4 = 0

-10x - 14x + 4 = 0

10x - 14y = -4

10x + 14y + 4 =0

Question 5 of 30

6. Which of the following equation is not a linear equation?

Question 6 of 30

7. The value of x in mx + ny = c; nx - ny = c + 1 is

x = (m + n) / (c + 1)

x = m + n

x = 2c + 1

x = (2c + 1) / (m + n)

Question 7 of 30

8. The difference between two numbers is 45 and one number is six times the other. Find them

7,42

8,48

6,36

9,54

Question 8 of 30

9. Adding 1 to the numerator and subtracting 1 from the denominator of a fraction makes it 1. However, if 1 is added only to the denominator of the fraction it becomes ½ . The fraction is______

3/5

3/2

5/3

2/3

Question 9 of 30

10. Adding 1 to the numerator and subtracting 1 from the denominator of a fraction makes it 1. However, if 1 is added only to the denominator of the fraction it becomes ½ . The fraction is______

3/5

3/2

5/3

2/3

Question 10 of 30

11. A boat goes 35 km upstream and 42 km downstream in 11 hours. In 14 hours, it can go 43 km upstream and 59 km down-stream. To determine the speed of the stream and that of the boat in still water , express the information in the form of equations of the type ax + by + c = 0

Question 11 of 30

12. 2 apples & 3 bananas cost Rs.15 and 2 apples & 2 bananas cost Rs 12. What is the cost of an apple & a banana?

An apple is for Rs.6 and banana for Re.1.

An apple for Rs.3 & a banana for Rs.3.

An apple for Rs.4 & a banana for Rs.2.50

An apple for Rs.2 & a banana for Rs.2.

Question 12 of 30

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

one solution

infinitely many solutions

no solution

two solutions

Question 13 of 30

14. Find the solution to the following system of linear equations:

( √5, -√3 )

( √3, -√5 )

( √5, √3 )

( √3, √5 )

Question 14 of 30

15. The graph below represents equations that have

unique solution

solution as 0

infinite solution

no solution

Question 15 of 30

16. Find the point on Cartesian plane where the line 3x - 2y = 6 intersects the y axis.

(3, 2)

(-1, -2)

(0, -3)

(1, 2)

Question 16 of 30

17. In elimination method _____________ is an important condition.

Equating both the coefficients.

Equating only the y coefficient.

Equating either of the coefficients.

Equating only the x co-efficient.

Question 17 of 30

18. The sum of the digits of a two-digit number is 9. Also, twice this number is nine times the number obtained by reversing the order of the digits. Find the number.

Question 18 of 30

19. 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

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

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

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

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

Question 19 of 30

20. A system of simultaneous linear equations has infinitely many solutions if two lines:

intersect at two points

are parallel

are coincident

intersect at one point

Question 20 of 30

21. The value of x, y in the following pair of Linear equations is:

2, 3

–3,2

3, -2

3, 2

Question 21 of 30

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

1, -1

-a, -b

a, b

-1, 1

Question 22 of 30

23. The number of solutions of equations represented by this graph is

Infinite

No solution

Question 23 of 30

24. The value ofx, y in the following pair of Linear equations is:

b, a

-a,b

a,-b

a, b

Question 24 of 30

25. 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

2 and 1

Question 25 of 30

26. If the given system of equation is 3x + 2y = 2xy; 6x + 2y = 3xy, then the first step to solve such eqs is

To divide the complete equation by xy.

Add or subtract the two equation

To equate the coefficients of x

To equate the coefficients of y

Question 26 of 30

27. How many solutions are possible for the following pair of equations?
x - y = 1 and 3x - 4y = 4

No solution

Two solutions

One

Infinitely many solutions

Question 27 of 30

28. Which at the following pair of linear equation are inconsistent?

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

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

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

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

Question 28 of 30

29. At a closing down sale, a book store was selling 3 books and 5 notebooks for Rs 309 or 6 books and 2 notebooks for Rs 282. How much would one book and 1 notebook cost?

Question 29 of 30

30. Anita has only 20 paise & 25 paise coins in her purse. She has 50 coins in all totaling to Rs.11.25. The linear equation representing the situations is

20x + 25y = 11.25; 20x + 25y = 50

25x + 20y = 11.25; 25x + 20y = 50

20x + 25y = 50; x + y = 11.25

20x + 25y = 1125; x + y = 50

Question 30 of 30

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