class 10 maths chapter 3 test

Class 10 Maths Quiz – Pair of Linear Equations

Class 10 Mathematics – Pair of Linear Equations in Two Variables (MCQ Test)

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Q1. What is the solution of the equations 2x + 3y = 12 and x – y = 1?

(3,2) (2,3) (1,2) (0,4)

Q2. What is the solution of x + y = 10 and x – y = 4?

(7,3) (5,5) (6,4) (8,2)

Q3. If two lines are parallel, what will be the nature of their solution?

No solution One solution Infinitely many solutions None of these

Q4. The equations x = 2 and y = 3 intersect at which point?

(2,3) (3,2) (0,0) (1,1)

Q5. If 2x + 5y = 20 and 3x + 2y = 12, what is the solution?

(4,2) (2,4) (5,2) (0,2)

Q6. If ax + by = c and px + qy = r have no solution, then the condition is:

a/p ≠ b/q a/p = b/q ≠ c/r a/p = b/q = c/r None of these

Q7. If 2x + 3y = 11 and 3x – 2y = 4, what is the value of x?

2 3 1 4

Q8. If one equation is x + 2y = 5 and the other is 2x + 4y = 10, then the nature of the solution is:

One solution No solution Infinitely many solutions None of these

Q9. If the lines intersect at a single point, the system will have:

One solution Infinitely many solutions No solution None of these

Q10. If x + y = 7 and x – y = 1, what is the value of y?

3 4 2 5

Q11. If 3x + 4y = 10 and 2x – y = 3, what is the solution?

(2,1) (1,2) (3,2) (0,1)

Q12. For equations ax + by + c = 0 and lx + my + n = 0 to have infinitely many solutions, the condition is:

a/l ≠ b/m a/l = b/m = c/n a/l = b/m ≠ c/n None of these

Q13. If 2x + 3y = 12 and 4x + 6y = 24, the nature of solution is:

One solution No solution Infinitely many solutions None of these

Q14. If a pair of equations is inconsistent, then the lines on the graph will be:

Coincident Intersecting Parallel None of these

Q15. What is the solution of x – 2y = 4 and 3x + y = 7?

(2,–1) (3,–1) (1,2) (4,0)

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