Chapter 3 Pair of Linear Equations in Two Variables- MCQ Online Test 1 Class 10 Maths

1. 4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables costs Rs 1750. The cost of a chair is

Rs.150
Rs.500
Rs.250
Rs.350

2. I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. My present age is

50 years
15 years
45 years
20 years

3. If 2x – 3y = 11 and (a + b)x – (a + b – 3)y = 4a + b has infinite number of solutions, then

a = 9 and b = 3
a = – 9 and b = – 3
a = – 9 and b = 3
a = 9 and b = – 3

4. The system of equations 6x + 3y = 6xy and 2x + 4y = 5xy has

one unique solution
many solutions
no solution
one solution

5. The value of ‘k’ for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has a non zero solution is

2
0
8
6

6. The solution of 3x – 5y = – 16 and 2x + 5y = 31

x = – 3, y = 5
x = – 3, y = – 5
x = 3, y = 5
x = 3, y = – 5

7. If a pair of linear equation is consistent, then the lines will be

always coincident
intersecting or coincident
parallel
always intersecting

8. If x = α and y = β is the solution of the equations x – y = 2 and x + y = 4, then

α = – 3 and β = 1
α = 3 and β = 1
α = 1 and β = 3
α = 3 and β = – 1

9. A system of two linear equations in two variables is inconsistent, if their graphs

do not intersect at any point
coincide
cut the x – axis
intersect only at a point

10. If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then

k≠4
k = 4
k≠3
k = 3

[WpProQuiz 204]