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

1. There will be total 20 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 solution for the equations  and are

 1/2 , 2/5

 1/3 , 9/5

 3/7 , -4/5

  None

Question 1 of 20

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

 x = -6 , y = 4

  x = 6 , y = 4

 x = 4 , y = 6

  x = 6 , y = -4

Question 2 of 20

3. The values of x and y , if 

 3.2 and 2.3

 3.3 and 3.2

 3.4 and 4.3

 3.3 and 2.2

Question 3 of 20

4. Two cars start from two towns 400 km apart and travel towards each other. They  pass each other in 4 hours. The difference in their speeds is 20 km / hr. Then, the speed of the faster car is __________

  70km/hr

 40km/hr

 60km/hr

 80km/hr

Question 4 of 20

5. The solution of the following pair of Linear equations is:

 4,-6

  -6, 4

  4,6

 6,4

Question 5 of 20

6. Find the solution to the following system of linear equations:2x-y+6=0
4x+5y-16=0

 (2,3)

  (1,4)

  (2,-3)

  (-1,4)

Question 6 of 20

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

  x – 2y = 6 2x + 3y = 4

 2x + 3y = 7 4x + 6y = 5

 5x – 3y = 11 7x + 2y = 13

  9x – 8y = 17 18x – 16y = 34

Question 7 of 20

8. Find the solution to the following system of linear equations:3x-y+9=0
3x+4y-6=0

 (-2,3)

 (2,-3)

 (-2,-3)

 (1,3)

Question 8 of 20

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

 a + b = 1

 2a + b = 1

 √a + b = 1

 2a – b = 1

Question 9 of 20

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

  Infinitely many solutions

 No solutions

 Two solutions

 One solution

Question 10 of 20

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

 

 

 1/2, – 1/3

 1/3, – 1/2

 1/3, 1/2

 1/2, 1/3

Question 11 of 20

12. For what value of ‘k” is the pair of equations x- ky + 4 = 0 and 2x – 4y – 8 = 0   inconsistent?

  2

  -4

 -2

 4

Question 12 of 20

13. 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°

 14°

 12°

  19°

Question 13 of 20

14. 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?

 3 and 2

  4 and 5

  2 and 3

 5 and 4

Question 14 of 20

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

  -3,2

 3,2

 2,3

 2,-3

Question 15 of 20

16. For what value of ‘K’ will the system of equations: 3x + y = 1, (2K – 1) x + (K – 1) y = 2K + 1 have no solution?

  3

 -2

 1

 2

Question 16 of 20

17. 4,-9The value ofx,y in the following pair of Linear equations is:
   ……….. (1)
   ……….(2)

 

 4,-9

 9, 4

  -4,9

  4, 9

Question 17 of 20

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

 2 and 1

 1 and 2

 1 and 1/2

 1/2 and 1

Question 18 of 20

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

  To equate the coefficients of y

 Add or subtract the two equation

 To equate the coefficients of x

  To divide the complete equation by xy.

Question 19 of 20

20. 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 20 of 20

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