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

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. If the pair of equation has no solution, then the pair of equation is :

inconsistent

none of these

coincident

consistent

Question 1 of 30

2. Find the solution to the following system of linear equations:
0.2x + 0.3y = 1.2
0.1x - 0.1y = 0.1

(2,1)

(2,3)

(1,2)

(3,2)

Question 2 of 30

3. If two lines are parallel to each other the system of equation is

Consistent dependent

Inconsistent

Inconsistent dependent

consistent

Question 3 of 30

4. The number of solutions of the pair of linear equations x + 2y - 8 = 0 and 2x + 4y = 16 are:

Infinitely many

None

Question 4 of 30

5. Find the value of ‘a" for which the system of equations 3x + 2y - 4 = 0 and ax - y - 3 = 0, will represent intersecting lines.

a = 3/2

a ≠ 2/3

a = 2/3

a ≠ 3/2

Question 5 of 30

6. Find the value of ‘a" for which the system of equations ax + 2y - 4 = 0 and x - y - 3 = 0 will represent intersecting lines?

a ≠ 2

a = -2

a = 2

a ≠ -2

Question 6 of 30

7. If 6x + 3y= 6xy ; 2x + 4y = 5xy, then the values of xand y are

Â½ and 1

2 and 1

1 and 2

1 and Â½

Question 7 of 30

8. How many solutions of the equation 15x - 14y + 11 = 0 are possible?

No solution

Infinite

Question 8 of 30

9. In an examination, one mark is awarded for every correct answer, while 1/4 mark is deducted for every wrong answer. A student answered 120 questions and got 20 marks. Which of the following pair of equations would give the result for how many questions did he answered correctly?

x + y = 120; - x + 4y = 80

x + y = 60; x + 4y = 80

x + y = 120; 4x + 3y = 80

x + y = 120; 3x + 4y = 80

Question 9 of 30

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

b, a

a, b

a,-b

-a,b

Question 10 of 30

11. Find x and y given

a and b

a and -b

-a and -b

-a and b

Question 11 of 30

12. A pharmacist has 30% and 80% sulphuric acid solution, using which he needs to make 8 litres of a 50% sulphuric acid solution. How many litres of the 80% solution will he need?

4.8 litres

4 litres

3 litres

3.2 litres

Question 12 of 30

13. Find the solution to the following system of linear equations:
2p+3q=9
p-q=2

(4,2)

(-4,1)

(2,-3)

(3,1)

Question 13 of 30

14. In elimination method _____________ is an important condition.

Equating only the x co-efficient.

Equating only the y coefficient.

Equating either of the coefficients.

Equating both the coefficients.

Question 14 of 30

15.

Question 15 of 30

16. The values of

for the equation

and

Question 16 of 30

17. 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 17 of 30

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

intersect at one point

are parallel

intersect at two points

are coincident

Question 18 of 30

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

One solution

Two solutions

Many solutions

No solution

Question 19 of 30

20. The values of 'a' and 'b' for which (2a - 1)x - 3y = 5, 3x + (b - 2)y = 3, has infinitely many solution are :

Question 20 of 30

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

x = - 11

x = - 4

x = 11

x = 4

Question 21 of 30

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

4 and 5

1/3, 1/5

5 and 4

1/5, 1/3

Question 22 of 30

23. What is the solution of the equations

0, 2

2, 0

0, 0

None

Question 23 of 30

24. Five liters of 31.2% acid solution has to be made out of a 40% and a 18% acid solution. How many litres of each of the 40% and 18% solution need to be mixed?

2 and 3

5 and 4

4 and 5

3 and 2

Question 24 of 30

25. 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 25 of 30

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

Infinite

No solution

Question 26 of 30

27. The value of x, y in the following
2^x+2 - 3^y+1 = 5 ………(1)
2^x + 3^y = 17 ………(2)

3,2

2,-3

-2,3

2, 3

Question 27 of 30

28. 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______

2/3

3/5

5/3

3/2

Question 28 of 30

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

Where

1, -2

2, 1

2,-1

-2, 1

Question 29 of 30

30. In a right triangle ABC , right angled at C , the angle A is 4 times angle B. , then the measure of angle B is________

15°

19°

14°

12°

Question 30 of 30

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