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

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 11:**

For what values of k, the pair of linear equations 2x – y – 3 = 0, 2kx + 7y – 5 = 0 has a unique solutions x = 1 and y = -1?

**Option A** : 3

**Option B** : 4

**Option C** : 6

**Option D** : -6

**Show/Hide Answer Key**

**Option C : 6**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 12:**

If the pair of linear equations x – y = 1, x + ky = 5 has a unique solution x = 2 and y = 1, then the value of k is

**Option A** : -2

**Option B** : 2

**Option C** : 3

**Option D** : 4

**Show/Hide Answer Key**

**Option C : 3**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 13:**

The pair of linear equations y = 0 and y = -7 has

**Option A** : one solution

**Option B** : two solution

**Option C** : infinitely many solutions

**Option D** : no solutions

**Show/Hide Answer Key**

**Option D : no solutions**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 14:**

The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.

**Option A** : 40 years

**Option B** : 45 years

**Option C** : 48 years

**Option D** : 50 years

**Show/Hide Answer Key**

**Option A : 40 Years**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 15:**

The pair of linear equations x = a and y = b graphically represents lines which are

**Option A** : parallel

**Option B** : intersecting at (b, a)

**Option C** : coincident

**Option D** : intersecting at (a, b)

**Show/Hide Answer Key**

**Option D : intersecting at (a, b)**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 16:**

The pair of linear equations 2x + 5y = k and kx + 15y = 18 has many infinitely solutions if

**Option A** : k = 3

**Option B** : k = 6

**Option C** : k = 9

**Option D** : k = 18

**Show/Hide Answer Key**

**Option B : k = 6**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 17:**

The pair of linear equations 13x + ky = k and 39x + 6y = k + 4 has infinitely many solutions if

**Option A** : k = 1

**Option B** : k = 2

**Option C** : k = 4

**Option D** : k = 6

**Show/Hide Answer Key**

**Option B : k = 2**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 18:**

The pair of linear equations x + 2y = 5 and 3x + 12y = 5 has

**Option A** : unique solutions

**Option B** : no solutions

**Option C** : more than two solutions

**Option D** : infinitely many solutions

**Show/Hide Answer Key**

**Option A : unique solutions**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 19:**

If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then the age of the father is (in years)

**Option A** : 45

**Option B** : 40

**Option C** : 50

**Option D** : 55

**Show/Hide Answer Key**

**Option A : 45**

**Linear Equations in Two Variables MCQ Questions for Class 10 Question No 20:**

A fraction becomes 4/5 when 1 is added to each of the numerator and denominator. However, if we subtract 5 from each of them, it becomes 1/2. The numerator of the fraction is

**Option A** : 6

**Option B** : 7

**Option C** : 8

**Option D** : 9

**Show/Hide Answer Key**

**Option B : 7**