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MCQ Questions for Class 10 Mathematics with Answers
Q1. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
(i) a unique solution
(ii) infinitely many solutions
(iii) no solution
(iv) two solutions
(iii) no solution
Q2. If a pair of linear equations is consistent, then the lines are:
(i) Parallel
(ii) Always coincident
(iii) Always intersecting
(iv) Intersecting or coincident
(iv) Intersecting or coincident
Q3. How many solutions of the equation 15x – 14y + 11 = 0 are possible?
(i) 2
(ii) No solution
(iii) 1
(iv) Infinite
(iv) Infinite
Q4. The pair of equations y = a and y = b graphically represents lines which are
(i) intersecting at (a, b)
(ii) intersecting at (b, a)
(iii) parallel
(iv) coincident
(iii) parallel
Q5. Graphically, the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0 represents two lines which are:
(i) intersecting at exactly one point
(ii) intersecting at exactly two points
(iii) coincident
(iv) parallel
(iv) parallel
Q6. The pair of equations x = 0 and x = 5 has
(i) no solution
(ii) unique/one solution
(iii) two solutions
(iv) infinitely many solutions
(iii) two solutions
Q7. If the lines 3x+2ky – 2 = 0 and 2x+5y+1 = 0 are parallel, then what is the value of k?
(i)4/15
(ii)15/4
(iii)⅘
(iv)5/4
(ii)15/4
Q8. Which of following is not a solution of 3a + b = 12?
(i) (3, 3)
(ii) (5, -3)
(iii) (4, 0)
(iv) (2, 4)
(iv) (2, 4)
Q9. The number of solutions of the pair of linear equations x +3y – 4 = 0 and 2x +6 y = 7 is
(i) 0
(ii) 1
(iii) 2
(iv) infinite
(i) 0
Q10. Solution of the system : 11x + 9y = 31, 9x + 11y = 29 is :
(i) x = –2, y = –1
(ii) x = –2, y = 1
(iii) x = 2, y = 1
(iv) x = 2, y = –1
(iii) x = 2, y = 1
Q11. One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
(i) 2x + 5y = 6
(ii) 3x + 5y = 3
(iii) -10x – 25y + 15 = 0
(iv) 10x + 25y = 15
(iii) -10x – 25y + 15 = 0
Q12. The solution of the equations x-y=2 and x+y=4 is:
(i) 3 and 1
(ii) 4 and 3
(iii) 5 and 1
(iv) -1 and -3
(i) 3 and 1
Q13. If a pair of linear equations is consistent, then the lines will be
(i) always coincident
(ii) parallel
(iii) always intersecting
(iv) intersecting or coincident
(iv) intersecting or coincident
Q14. The value of k for which the lines (k +1)x +3ky +15 = 0 and 5x + ky +5 = 0 are coincident is
(i) 14
(ii) 2
(iii) –14
(iv) –2
(i) 14
Q15. The value of k for which the system : 4x + 2y = 3, (k – 1)x – 6y = 9 has no unique solution is :
(i) –13
(ii) 9
(iii) –11
(iv) 13
(iii) –11
Q16. The graph of x = -2 is a line parallel to the
(i) x-axis
(ii) y-axis
(iii) both x- and y-axis
(iv) none of these
(ii) y-axis
Q17. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is:
(i)3/12
(ii)4/12
(iii)5/12
(iv)7/12
(iii)5/12
Q18. The pair of equations 3x + 4y = k, 9x + 12y = 6 has infinitely many solutions if –
(i) k = 2
(ii) k = 6
(iii) k = 6
(iv) k = 3
(i) k = 2
Q19. The number of solutions of the pair of equations 2x +5y =10 and 6x +15y -30 = 0 is
(i) 0
(ii) 1
(iii) 2
(iv) infinite
(iv) infinite
Q20. Which of the following pairs of equations represent inconsistent system ?
(i) 3x – 2y = 8, 2x + 3y = 1
(ii) 3x – y = –8, 3x – y = 24
(iii) 5x – y = 3, x + 3y = 4
(iv) 5x – y = 10, 10x – 2y = 20
(ii) 3x – y = –8, 3x – y = 24
Q21. If am bl then the system of equations ax + by = c, lx + my = n, has
(i) a unique solution
(ii) no solution
(iii) infinitely many solutions
(iv) none of these
(i) a unique solution
Q22. The solution of 4/x+3y=14 and 3/x-4y=23 is:
(i)⅕ and -2
(ii)⅓ and ½
(iii)3 and ½
(iv)2 and ⅓
(i)⅕ and -2
Q23. Which of the following pair of linear equations is inconsistent?
(i) 2x + 3y = 7; 4x + 6y = 5
(ii) x – 2y = 6; 2x + 3y = 4
(iii) 9x – 8y = 17; 18x -16y = 34
(iv) 5x – 3y =11; 7x + 2y =13
(i) 2x + 3y = 7; 4x + 6y = 5
Q24. 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
(i) 53
(ii) 35
(iii) 62
(iv) 26
(ii) 35
Q25. The pair of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :
(i) intersecting lines
(ii) parallel lines
(iii) coincident lines
(iv) none of these
(ii) parallel lines
Q26. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
(i) 6
(ii) 0
(iii) 2
(iv) 5
(i) 6
Q27. 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:
(i)x=20° and y = 10°
(ii)x=20° and y = 30°
(iii)x=44° and y=15°
(iv)x=15° and y=15°
(ii)x=20° and y = 30°
Q28. 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.
(i) 120, 130
(ii) 140,280
(iii) 240,280
(iv) 100,120
(ii) 140,280
Q29. If am¹ bl, then the system of equations
ax + by = c, lx + my = n
(i) has a unique solution
(ii) has no solution
(iii) has infinitely many solutions
(iv) may or may not have a solution
(i) has a unique solution
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MCQ Questions for Class 10 Mathematicss with Answers
- Lesson 1. Real Numbers Class 10 MCQs
- Lesson 2. Polynomials Class 10 MCQs
- Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs
- Lesson 4. Quadratic Equations Class 10 MCQs
- Lesson 5. Arithmetic Progression Class 10 MCQs
- Lesson 6. Triangles Class 10 MCQs
- Lesson 7. Coordinate Geometry Class 10 MCQs
- Lesson 8. Introduction To Trigonometry Class 10 MCQs
- Lesson 9. Some Applications Of Trigonometry Class 10 MCQs
- Lesson 10. Circles Class 10 MCQs
- Lesson 11. Constructions Class 10 MCQs
- Lesson 12. Areas Related To Circles Class 10 MCQs
- Lesson 13. Surface Areas And Volumes Class 10 MCQs
- Lesson 14. Statistics Class 10 MCQs
- Lesson 15. Probability Class 10 MCQs