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### All questions answers in the last paragraph

## MCQ Questions for Class 10 Mathematics with Answers

## Q1. If am¹ bl, then the system of equations

ax + by = c, lx + my = n

(A) has a unique solution

(B) has no solution

(C) has infinitely many solutions

(D) may or may not have a solution

## Q2. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have

(A) a unique solution

(B) infinitely many solutions

(C) no solution

(D) two solutions

## Q3. 8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.

(A) 120, 130

(B) 140,280

(C) 240,280

(D) 100,120

## Q4. If a pair of linear equations is consistent, then the lines are:

(A) Parallel

(B) Always coincident

(C) Always intersecting

(D) Intersecting or coincident

## Q5. The angles of cyclic quadrilaterals ABCD are: A = (6x+10), B=(5x)°, C = (x+y)° and D=(3y-10)°. The value of x and y is:

(A)x=20° and y = 10°

(B)x=20° and y = 30°

(C)x=44° and y=15°

(D)x=15° and y=15°

## Q6. How many solutions of the equation 15x – 14y + 11 = 0 are possible?

(A) 2

(B) No solution

(C) 1

(D) Infinite

## Q7. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is

(A) 6

(B) 0

(C) 2

(D) 5

## Q8. The pair of equations y = a and y = b graphically represents lines which are

(A) intersecting at (a, b)

(B) intersecting at (b, a)

(C) parallel

(D) coincident

## Q9. The pair of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

(A) intersecting lines

(B) parallel lines

(C) coincident lines

(D) none of these

## Q10. Graphically, the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0 represents two lines which are:

(A) intersecting at exactly one point

(B) intersecting at exactly two points

(C) coincident

(D) parallel

## Q11. The sum of the digits of a two digit number is 8. If 18 is added to it, the digits of the number get reversed. The number is

(A) 53

(B) 35

(C) 62

(D) 26

## Q12. The pair of equations x = 0 and x = 5 has

(A) no solution

(B) unique/one solution

(C) two solutions

(D) infinitely many solutions

## Q13. Which of the following pair of linear equations is inconsistent?

(A) 2x + 3y = 7; 4x + 6y = 5

(B) x – 2y = 6; 2x + 3y = 4

(C) 9x – 8y = 17; 18x -16y = 34

(D) 5x – 3y =11; 7x + 2y =13

## Q14. If the lines 3x+2ky – 2 = 0 and 2x+5y+1 = 0 are parallel, then what is the value of k?

(A)4/15

(B)15/4

(C)⅘

(D)5/4

## Q15. The solution of 4/x+3y=14 and 3/x-4y=23 is:

(A)⅕ and -2

(B)⅓ and ½

(C)3 and ½

(D)2 and ⅓

## Q16. Which of following is not a solution of 3a + b = 12?

(A) (3, 3)

(B) (5, -3)

(C) (4, 0)

(D) (2, 4)

## Q17. If am bl then the system of equations ax + by = c, lx + my = n, has

(A) a unique solution

(B) no solution

(C) infinitely many solutions

(D) none of these

## Q18. The number of solutions of the pair of linear equations x +3y – 4 = 0 and 2x +6 y = 7 is

(A) 0

(B) 1

(C) 2

(D) infinite

## Q19. Which of the following pairs of equations represent inconsistent system ?

(A) 3x – 2y = 8, 2x + 3y = 1

(B) 3x – y = –8, 3x – y = 24

(C) 5x – y = 3, x + 3y = 4

(D) 5x – y = 10, 10x – 2y = 20

## Q20. Solution of the system : 11x + 9y = 31, 9x + 11y = 29 is :

(A) x = –2, y = –1

(B) x = –2, y = 1

(C) x = 2, y = 1

(D) x = 2, y = –1

We hope the given NCERT MCQ Questions for Class 10 Math’s PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 10 Math’s MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.

## All questions answers

QUESTIONS NO : | ANSWERS : |

1 | A |

2 | C |

3 | B |

4 | D |

5 | B |

6 | D |

7 | A |

8 | C |

9 | B |

10 | D |

11 | B |

12 | C |

13 | A |

14 | B |

15 | A |

16 | D |

17 | A |

18 | A |

19 | B |

20 | C |

## MCQ Questions for Class 10 Mathematics with Answers

- Chapter 1. Real Numbers Class 10 MCQs
- Chapter 2. Polynomials Class 10 MCQs
- Chapter 3. Pair Of Linear Equations In Two Variables Class 10 MCQs
- Chapter 4. Quadratic Equations Class 10 MCQs
- Chapter 5. Arithmetic Progression Class 10 MCQs
- Chapter 6. Triangles Class 10 MCQs
- Chapter 7. Coordinate Geometry Class 10 MCQs
- Chapter 8. Introduction To Trigonometry Class 10 MCQs
- Chapter 9. Some Applications Of Trigonometry Class 10 MCQs
- Chapter 10. Circles Class 10 MCQs
- Chapter 11. Constructions Class 10 MCQs
- Chapter 12. Areas Related To Circles Class 10 MCQs
- Chapter 13. Surface Areas And Volumes Class 10 MCQs
- Chapter 14. Statistics Class 10 MCQs
- Chapter 15. Probability Class 10 MCQs