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

1.The number of solutions of two linear equations representing intersecting lines is/are
1

2
0

2. The sum of the numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to 1/3. The fraction is

5/13
-7/11
-5/13
7/11

3. Half the perimeter of a rectangular garden, whose length is 4m more than its width is 36m. The area of the garden is

320 m²
360 m²
300 m²
400 m²

4. The system of linear equations a1x + b1y + c1= 0 and a2x + b2y + c2= 0 has no solution if

a1/a2 = b1b2 = c1/c2
None of these
a1/a2 = b1/b2 ≠ c1/c2
a1/a2 ≠ b1/b2

5. The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has

no solution
infinitely many solutions
one solution
two solutions

6. Ritu can row downstream 20 km in 2 hours and upstream 4 km in 2 hours. The speed of the current is

4 km/hr
12 km/hr
8 km/hr
6 km/hr

7. The sum of two numbers is 8. If their sum is four times their difference, then the numbers are

7 and 1
none of these.
6 and 2
5 and 3

8. The value of ‘k’ so that the system of equations 3x – 4y – 7 = 0 and 6x – ky – 5 = 0 have a unique solution is

k≠4
k≠−8
k≠−4
k≠8

9. In ΔABC, if ∠A = x°, ∠B = 3x° and ∠C = y°. If 3y – 5x = 30, then ∠B =

90°
60°
45°
30°

10. The pair of linear equations ax + by = c and px + qy = r has a unique solution then

ap ≠ bq
aq ≠ bp
ap = bq
aq = bp

## Chapter - 3 A Pair of Linear Equation in two Variables Quiz - 3 Class - 10th

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