Extra MCQ Questions for Class 10 Maths Chapter 3 Linear Equations in Two Variables

Hi students, Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get Extra MCQ Questions for Class 10 Maths Chapter 3 Linear Equations in Two Variables with Answer Keys. You can download this PDF and save it in your mobile device or laptop etc.

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 31: 

Graphically the pair of linear equations 6x – 3y +10 = 0 and 2x + y + 9 = 0 represents two lines which are 

Option A : intersecting exactly at one point

Option B : intersecting exactly at two points

Option C : coincident

Option D : parallel

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 32: 

Find the values of p and q for which the following system of equations has infinitely many solutions 2x + 3y = 7 and (p + q)x + (2q – p)y = 21

Option A : p = 4 and q = 3

Option B : p = 1 and q = 5

Option C : p = 5 and q = 1

Option D : p = 3 and q = 4

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 33: 

A man starts his job with a certain salary and earned fixed increments every year. If his salary was Rs. 15000 after four years of service and Rs. 18000 after 10 years of service, find his starting salary and annual increment respectively.

Option A : Rs. 11000 and Rs. 700

Option B : Rs. 13000 and Rs. 500

Option C : Rs. 13000 and Rs. 700

Option D : Rs. 11000 and Rs. 500

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 34:

From Bangalore bus stand, if we buy 2 tickets to Malleswarm and 3 tickets to Yeshwanthpuram, the total cost is Rs. 46. But, if we buy 3 tickets to Malleswarm and 5 tickets to Yeshwanthpuram, then the total cost is Rs 74. Find the fares from bangalore to Malleswarm and to Yeshwanthpuram respectively. 

Option A : Rs. 10 and Rs. 8

Option B : Rs. 12 and Rs. 10

Option C : Rs. 10 and Rs. 12

Option D : Rs. 8 and Rs. 10

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 35:

A mother is five times as old as her daughter. Five years later, the mother will be three times as old as her daughter. Find the sum of their present ages in years.

Option A : 25

Option B : 30

Option C : 40

Option D : 35

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 36:

Solve for x and y: 7x – 5y = 11 and 3x + 4y = 17

Option A : x = 3, y = 2

Option B : x = 2, y = 3

Option C : x = -3, y = 2

Option D : x = -3, y = -2

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 37:

Find the value of k for which the system of equations kx + 2y = 5 and 3x + y = 1 has a unique solutions.

Option A : k ≠ 2

Option B : k ≠ 3

Option C : k ≠ 6

Option D : k = 6

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 38:

Solve for x and y: (x + 2)/(x – 2) = (y + 8)/(y + 4) and (2x – 5)/(4y – 1) = (x – 1)/(2y + 1)

Option A : x = 10 and y = 5

Option B : x = 5 and y = 10

Option C : x = 10 and y = 4

Option D : x = 4 and y = -10

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 39:

A says to B, “My present age is five times that your age when I was as old as you are now.” If the sum of their present ages is 48 years, find their present ages (in years)

Option A : 30, 18

Option B : 32, 16

Option C : 28, 20

Option D : 31, 19

Extra MCQ Questions of Class 10 Maths Linear Equations Question No 40:

Mr. Mehra invested Rs. 60000 partly at 3% per annum and the remaining at 4% per annum. The total interest received after one year is Rs 2200. Find how much money was invested at each rate.

Option A : Rs. 16000 and Rs. 44000

Option B : Rs. 22000 and Rs. 38000

Option C : Rs. 20000 and Rs. 40000

Option D : None of these