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

**Important MCQ Questions of Linear Equations Class 10 Question No 21:**

Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of one chair and one table is

**Option A** : Rs 800

**Option B** : Rs 850

**Option C** : Rs 900

**Option D** : Rs 950

**Show/Hide Answer Key**

**Option B : Rs 850**

**Important MCQ Questions of Linear Equations Class 10 Question No 22:**

Six year hence, a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is

**Option A** : 28 years

**Option B** : 30 years

**Option C** : 32 years

**Option D** : 34 years

**Show/Hide Answer Key**

**Option B : 30 Years**

**Important MCQ Questions of Linear Equations Class 10 Question No 23:**

The solution of the pair of equations a/x – b/y = 0 and ab^{2}/x + a^{2}b/y = a^{2} + b^{2} is

**Option A** : x = a, y = b

**Option B** : x = a, y = -b

**Option C** : x = -a, y = b

**Option D** : None of these

**Show/Hide Answer Key**

**Option A : x = a, y = b**

**Important MCQ Questions of Linear Equations Class 10 Question No 24:**

Which of the following pair of linear equations is inconsistent?

**Option A** : 3x – y = 8, x – y/3 = 3

**Option B** : 4x + 3y = 24, 2x + 3y = 6

**Option C** : 5x – y = 10, 10x – 2y = 20

**Option D** : None of these

**Show/Hide Answer Key**

**Option A : 3x – y = 8, x – y/3 = 3**

**Important MCQ Questions of Linear Equations Class 10 Question No 25:**

Which of the following is/are solutions of the pair of equations 3x – 2y = 4 and 6x – 4y = 8?

**Option A** : x = 2, y = 3

**Option B** : x = 4, y = 4

**Option C** : x = 6, y = 7

**Option D** : All of these

**Show/Hide Answer Key**

**Option D : All of these**

**Important MCQ Questions of Linear Equations Class 10 Question No 26:**

The pair of equations 3^{x+y} = 81, 81^{x-y} = 3 has

**Option A** : No Solutions

**Option B** : Many Solutions

**Option C** : Solutions x = 17/8, y = 15/8

**Option D** : All of these

**Show/Hide Answer Key**

**Option C : Solutions x = 17/8, y = 15/8**

**Important MCQ Questions of Linear Equations Class 10 Question No 27:**

Given the pair of equations ax + (a – 1)y = 1 and (a + 1)x – ay = 1. For which one of the following values of a, there is no common solution of the given pair of equations?

**Option A** : 1/2

**Option B** : 1/√2

**Option C** : √2

**Option D** : -√2

**Show/Hide Answer Key**

**Option B : 1/√2**

**Important MCQ Questions of Linear Equations Class 10 Question No 28:**

The values of a for which the lines x = 1, y = 2 and a^{2}x + 2y – 20 = 0 are concurrent are

**Option A** : 1

**Option B** : 4

**Option C** : -1

**Option D** : -2

**Show/Hide Answer Key**

**Option B : 4**

**Important MCQ Questions of Linear Equations Class 10 Question No 29:**

The value of k if the linear equations x + 2y = 3 and 5x + ky + 7 = 0 has unique solution is

**Option A** : k ≠ 1

**Option B** : k ≠ 10

**Option C** : k ≠ 15

**Option D** : k = 5

**Show/Hide Answer Key**

**Option B : k ≠ 10**

**Important MCQ Questions of Linear Equations Class 10 Question No 30:**

Obtain the conditions for the following system of linear equations to have a unique solutions ax + by = c and lx + my = n

**Option A** : am ≠ bl

**Option B** : am = bl

**Option C** : bl ≠ cm

**Option D** : am = bl ≠ cn

**Show/Hide Answer Key**

**Option A : am ≠ bl**

CBSE Class 10 Maths Chapterwise MCQs |
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1 : Real Numbers MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

2 : Polynomials MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

3 : Linear Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

4 : Quadratic Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

5 : Arithmetic Progression MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

6 : Triangles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

7 : Coordinate Geometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

8 : Introduction to Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

9 : Application of Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

10 : Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

11 : Constructions MCQ | 1 to 10 | 11 to 20 |

12 : Area Related to Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

13 : Surface Area & Volume MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

14 : Statistics MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

15 : Probability MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

16 : Previous Year Maths MCQs from CBSE Board Class 10| 1 to 100 |