# MCQ Questions for Class 10 Maths Chapter 3 Pair of linear equations in two variables with Answers

Below you will find NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of linear equations in two variables with Answers which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.

Also, students can check NCERT Solutions for Class 10 Maths Chapter 3 for improving their marks and have good understanding of the chapter. ## Chapter 3 Pair of linear equations in two variables MCQ Questions for Class 10 Maths with Answers

1. Graphically the pair of equations 7x-y=5 and 21x-3y=10 represents two lines which are
(a) Intersecting at one point.
(b) Intersecting at two-point.
(c) coincident.
(d) Parallel.
Solution (d) Parallel.

2. The sum of the digits of the two-digit number is 9. If 27 is added to it the digits of the number get reversed. The number is
(a) 27
(b) 72
(c) 63
(d) 36
Solution (d) 36

3. The following pair of linear equations 3x – 2y + 5 = 0, 5x + 7y = 2 will have
(a) infinite solution
(b) a unique solution
(c) no solution
(d) none of the above
Solution (b) a unique solution

4. The equations ax+by+c=0 and  dx+ey+c=0 have no solution if
(b) ae=bd
(d) ab=de
Solution (b) ae=bd

5. Shyam can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?
(a) 3 km/hr.
(b) 5 km/hr.
(c) 6 km/hr.
(d) 9 km/hr.
Solution (c) 6 km/hr.

6. The number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16 are:
(a) 1
(b) Infinitely many
(c) 0
(d) None of these
Solution (b) Infinitely many

7. If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are​
(a) 1 and 2
(b) 2 and 1
(c) 1 and 1/2
(d) 1/2 and 1
Solution (a) 1 and 2

8. The pair of equations aX+2Y=7 and 3X+bY=16 represents parallel lines if
(a) a=b
(b) 3a=2b
(c) 2a=3b
(d) ab=6
Solution (d) ab=6

9. The pair of equations X=4 and Y=3 graphically represent lines which are
(a) Parallel.
(b) Intersecting at (3,4).
(c) Intersecting at (4,3).
(d) Coincident.
Solution (c) Intersecting at (4,3).

10. If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be the value of a and b
(a) 3,1
(b) 4,6
(c) 2,1
(d) 1,2
Solution (a) 3,1

11. If x/2+y=10 and 7/(x+y/2)=10 then (x+y)=?
(a) 1.13
(b) -0.8
(c) 7.13
(d) 0.5
Solution (c) 7.13

12. One equation of a pair of dependent linear equations is 2x+5y=3, the second equation will be
(a) 2x+5y=6
(b) 3x+5y=3
(c) -10x-25y+15=0
(d) 10x+25y=15
Solution (d) 10x+25y=15

13. If x = a, y = b is the solution of the pair of equations x - y = 2 and x + y = 4, then the respective values of a and b are
(a) 3, 5
(b) 5, 3
(c) 3, 1
(d) -1, -3
Solution (c) 3, 1

14. The equation of a pair of dependent linear equations is -5x+7y=2; the second equation can be
(a) 10x+14y+4=0
(b) -10x+14y+4=0
(c) -10x-14y+4=0
(d) 10x-14y=-4
Solution (d) 10x-14y=-4

15. Which of the following is not a solution of pair of equations 3x – 2y = 4 and 6x – 4y = 8?
(a) x = 5, y = 3
(b) x = 2, y = 1
(c) x = 6, y = 7
(d) x = 4, y = 4
Solution (a) x = 5, y = 3

16. A fraction becomes 1/12 when subtracted 4 from the numerator and it becomes. 1/4 when 8 is added to its denominator. Find the fraction.
(a) 1/3
(b) 3/13
(c) 4/12
(d) 5/12
Solution (d) 5/12

17. If a pair of linear equations is consistent, then the lines will be
(a) Parallel.
(b) Intersecting or coincident.
(c) Always intersecting.
(d) Always Coincident.
Solution (b) Intersecting or coincident.

18. If (6, K) is the solution of the equation 3x+y-22=0, then the value of k is
(a) 3
(b) 4
(c) -3
(d) -4
Solution (b) 4

19. The pair of equations y = 0 and y = - 7 has
(a) One solution
(b) Two solutions
(c) Infinitely many solutions
(d) No solution
Solution (d) No solution

20. Which of the following equation is not a linear equation?​
(a) 2a-b = 1
(b) 2a+b = 1
(c) a+b = 1
(d) √a+b = 1
Solution (d) √a+b = 1

21. The graph of y=4x is a line
(a) Passing through the origin.
(b) Parallel to X-axis.
(c) Perpendicular to Y-axis.
(d) Parallel to Y-axis.
Solution (a) Passing through the origin.

22. If the pair of equation has no solution, then the pair of equation is :
(a) inconsistent
(b) coincident
(c) consistent
(d) none of these
Solution (a) inconsistent

23. Which of the following pairs of equations represent inconsistent system?​
(a) 3x – y = -8 3x – y = 24
(b) 5x – y = 10 10x – 2y = 20
(c) 3x – 2y = 8 2x + 3y = 1
(d) lx – y = m x + my = l
Solution (a) 3x – y = -8 3x – y = 24

24. The pair of equations x+2y+5=0 & -3x-6y+1=0 have
(a) A unique solution.
(b) Exactly two solutions.
(c) Infinitely many solutions.
(d) No solution.
Solution (d) No solution.