This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Pair Of Linear Equations In Two Variables > Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A fraction becomes $\frac{6}{5}$ $\frac{3}{2}$ A) $\frac{9}{11}$. B) $\frac{7}{9}$. C) $\frac{9}{7}$. D) $\frac{11}{9}$. Show Answer Correct Answer: D) $\frac{11}{9}$. 2. Komal went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes. Komal got 25 notes in all. This situation can be represented algebraically as A) X + y = 2000 ; 50x + 100 y = 25. B) X+ y = 25 ; 100x-50 y = 2000. C) X + y = 25 ; 50x + 100y = 2000. D) X-y = 25 ; 50x + 100 y = 2000. Show Answer Correct Answer: C) X + y = 25 ; 50x + 100y = 2000. 3. Say 'TRUE' or 'FALSE'The line represented by y = 0 is parallel to y-axis. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 4. The graph of the equation 2x + 3y = 5 is a A) Vertical line. B) Straight line. C) Horizontal line. D) None of these. Show Answer Correct Answer: B) Straight line. 5. Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A. A) 20. B) 60. C) 40. D) 50. Show Answer Correct Answer: D) 50. 6. If the pair of linear equations has no solutions then they are A) Intersecting lines. B) Coincide lines. C) Parallel lines. D) Dependent lines. Show Answer Correct Answer: C) Parallel lines. 7. If x+y=14 and x-y=4 then the values of x and y are ..... A) X=4 and y = 5. B) X = 9 and y = 7. C) X =-6 and y = 5. D) X = 9 and y = 5. Show Answer Correct Answer: D) X = 9 and y = 5. 8. Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation? A) Reverse + = 3152 pussy + 4 j = 450. B) 3x + 2y = 4502x + 4y = 315. C) X + any = 3153 pussy + 4 j = 450. D) None of the above. Show Answer Correct Answer: A) Reverse + = 3152 pussy + 4 j = 450. 9. The pairs of equations x+2y-5=0 and-4x-8y+20=0 have: A) Unique solution. B) No solution. C) Infinitely many. D) None of these. Show Answer Correct Answer: C) Infinitely many. 10. 7 canes of fizzy juice and 5 canes of apple juice cost ₹ 170 while 6 canes of fizzy juice and 11 canes of apple juice cost ₹ 280. Situation can be represented algebraically as A) 5x + 7y =170 ; 6x + 11y = 280. B) 7x + 5y =170 ; 6x + 11y = 280. C) 7x + 11y = 280 ; 5x+ 6y = 170. D) 7x + 6y = 170 ; 5x+11y = 280. Show Answer Correct Answer: B) 7x + 5y =170 ; 6x + 11y = 280. 11. What is the solution for equations below?y = 3x + 2y = 5x A) X =-2, y =-4. B) X = 5, y = 17. C) X = 2, y = 8. D) X = 1, y = 5. Show Answer Correct Answer: D) X = 1, y = 5. 12. A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs 1008. If she had sold the saree at 10% profit and the sweater at 8% discount, she would have got Rs 1028. Find the cost price of the saree and the list price (price before discount) of the sweater A) Rs 600, Rs 40. B) Rs 60, Rs 40. C) Rs 60, Rs 400. D) Rs 600, Rs 400. Show Answer Correct Answer: D) Rs 600, Rs 400. 13. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is: A) 4/3. B) 3. C) 5/3. D) 7/3. Show Answer Correct Answer: C) 5/3. 14. Determine, algebraically, the vertices of the triangle formed by the lines 3x-y = 3, 2x-3 y =2, x+2 y = 8 A) (1, 0), (2, 3), (4, 2). B) (1, 1), (2, 3), (4, 2). C) (1, 0), (2, 2), (4, 2). D) (1, 0), (2, 3), (4, 1). Show Answer Correct Answer: A) (1, 0), (2, 3), (4, 2). 15. .If the sum of two number is 41 and their product is 400.then the numbers are A) 25, 16. B) 40, 10. C) 28, 13. D) 20, 20. Show Answer Correct Answer: A) 25, 16. 16. The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number. A) 84. B) 46. C) 48. D) 64. Show Answer Correct Answer: D) 64. 17. If a pair of linear equations is consistent, then the lines will be A) Always coincident. B) Parallel. C) Always intersecting. D) Intersecting or coincident. Show Answer Correct Answer: D) Intersecting or coincident. 18. Represent the following pair of lines graphically.How many solutions are possible for the following pair of lines?4x + 3y = 312x + 9y = 20 A) One ( unique) solution. B) Exactly Two solutions. C) Infinite solutions. D) No solution. Show Answer Correct Answer: D) No solution. 19. If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be value of a and b A) 2, 1. B) 1, 2. C) 4, 6. D) 3, 1. Show Answer Correct Answer: D) 3, 1. 20. Dependent pair of equations is always ..... A) Consistent. B) Maybe Inconsistent or Consistent. C) Inconsistent. D) Cannot be determined. Show Answer Correct Answer: A) Consistent. 21. Graphically, the pair of equations 7x-y = 5; 21x-3y = 10 represents two lines which are A) Intersecting at one point. B) Parallel. C) Intersecting at two points. D) Coincident. Show Answer Correct Answer: B) Parallel. 22. What is the solution to the system?8x + 4y = 12y =-2x + 3 A) (0, 3). B) (3, 0). C) No solution(parallel lines). D) Infinitely many solutions. Show Answer Correct Answer: D) Infinitely many solutions. 23. Solve by elimination method.11x+15y=-23 and 7x-2y=20. A) X=2 and y=-3. B) X=-2 and y=3. C) X=2 and y=-3. D) X=-2 and y=-3. Show Answer Correct Answer: A) X=2 and y=-3. 24. If a pair of equation is inconsistent, then the lines will be A) Parallel. B) Always coincident. C) Always intersecting. D) Both coincident and intersecting. Show Answer Correct Answer: A) Parallel. 25. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k-1 has infinitely many solutions is A) 2. B) 3. C) 5. D) 4. Show Answer Correct Answer: A) 2. 26. There are several human beings and several dogs in a room. One tenth of the humans have lost a leg. The total numbers of feet are 77, then the number of dogs is A) 6. B) 4. C) Not determinable due to insufficient data. D) 5. Show Answer Correct Answer: D) 5. 27. Is (1, 10) a solution to y=7x+5y=x+9 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 28. If a system of equations has no solution, what does the graph look like? A) Intersecting lines. B) Parallel lines. C) Skew lines. D) Intersecting lines. Show Answer Correct Answer: B) Parallel lines. 29. 3 years ago age of Amaresh is y, what is the age of him 2 years from now A) Y+3. B) Y+5. C) Y-3. D) Y-5. Show Answer Correct Answer: B) Y+5. 30. For what value of k will pair of equations have no solution? 3x+y=1, (2k-1)x+(k-1)y=2k+1 A) 3. B) 2. C) 4. D) 1. Show Answer Correct Answer: B) 2. 31. True or False:The pair of equations 3x + 4y = k and 9x + 12y = 6 has infinitely many solutions if k = 3 A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 32. 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. Show Answer Correct Answer: D) Parallel. 33. One equation of a pair of dependent linear equations is-5x + 7y = 2. The secondequation can be A) 10x-14y=-4. B) 10x+14y +4 =0. C) -10x-14y+4=0. D) -10x+14y+4=0. Show Answer Correct Answer: A) 10x-14y=-4. 34. Degree of linear equation is A) 3. B) 2. C) 1. D) 4. Show Answer Correct Answer: C) 1. 35. The solution of the equations x + y = 14 and x-y = 4 is A) X = 5 and y = 9. B) X = 10 and y = 4. C) X = 4 and y = 10. D) X = 9 and y = 5. Show Answer Correct Answer: D) X = 9 and y = 5. 36. Which method is used to find no solution of a pair of linear equations? A) Elimination Method. B) Graphical Method. C) Substitution Method. D) Algebraic Method. Show Answer Correct Answer: A) Elimination Method. 37. What does it mean when the lines of a pair of linear equations are parallel? A) The point gives the unique solution of the two equations. B) The pair of equations is inconsistent. C) The pair of equations has no solution. D) The pair of equations is dependent consistent. Show Answer Correct Answer: D) The pair of equations is dependent consistent. 38. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be A) 3. B) 2. C) -3. D) -2. Show Answer Correct Answer: D) -2. 39. The pair of linear equations 2x+3y = 10 and 3x+2y = 10 is( 1 mark ) A) Dependent. B) Inconsistent. C) Consistent. D) Consistent and dependent. Show Answer Correct Answer: C) Consistent. 40. Shashank can row downstream 20 km in 2 hours, and the upstream 4 km in 2 hours. What will be the speed of rowing in still water? A) 3 km/hr. B) 7 km/hr. C) 6 km/hr. D) 4 km/hr. Show Answer Correct Answer: C) 6 km/hr. 41. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is A) 2. B) 4. C) 0. D) 6. Show Answer Correct Answer: D) 6. 42. What is the solution to a system of equations? A) The point that the equations have in common. B) The point where the two lines intersect. C) All of the above. D) None of the above. Show Answer Correct Answer: C) All of the above. 43. If x = a, y = b is the solution of the equations x + y = 5 and 2x-3y = 4, then the values of a and b are respectively A) 19/5, 6/5. B) 2, 3. C) 6, -1. D) 1, 4. Show Answer Correct Answer: A) 19/5, 6/5. 44. Does the following system have One Solution, No Solution, or Infinite Solutions. y = 4x + 8y =-5x + 3 A) Infinite solution. B) No solution. C) One solution. D) Many solutions. Show Answer Correct Answer: C) One solution. 45. For what values of a and b does the following pair of equations have an infinite numbers of solutions. 2x+3y=7, a(x+y)-b(x-y)=3a+b-2 A) A = 1, b = 5. B) A = 5, b =-1. C) A =-5, b = 5. D) A = 5, b = 1. Show Answer Correct Answer: D) A = 5, b = 1. 46. The pair of equation x =-4 and y =-5 graphically represents lines which are A) Intersecting at (-5, -4). B) Intersecting at (5, 4). C) Intersecting at (-4, -5). D) Intersecting at (4, 5). Show Answer Correct Answer: C) Intersecting at (-4, -5). 47. The pair of equations x = a and y = b graphically represents lines which are A) Parallel. B) Intersecting at (b, a). C) Coincident. D) Intersecting at (a, b). Show Answer Correct Answer: D) Intersecting at (a, b). 48. The value of 'c' for which the equations cx-y = 2 and 6x-2y = 3 will have infinitely many solutions is ..... A) -12. B) -3. C) 3. D) No value. Show Answer Correct Answer: D) No value. 49. The graph of the line x = 6 is a line ..... A) Parallel to x-axis at a distance of 6 untis from origin. B) Parallel to y-axis at a distance of 6 units from the origin. C) Making an intercept 6 on the x-axis. D) Making an intercept 6 on both the axis. Show Answer Correct Answer: B) Parallel to y-axis at a distance of 6 units from the origin. 50. Solve and find the value of k for the following simultaneous equations:3h-k = 22h + k = 8 A) 4. B) 7. C) 2. D) 10. Show Answer Correct Answer: A) 4. 51. Which is correct statement for inconsistent equations A) They have no solution. B) They may have unique or infinite solutions. C) They have only unique solution. D) They have only infinite solutions. Show Answer Correct Answer: A) They have no solution. 52. Solve the following pair of equations 2 /x-3 /y = 15 8 /x + 5 /y = 77 A) X = 9, y = 1. B) X = 7/68, y = 7/17. C) X = 1/9, y = 1. D) None of the above. Show Answer Correct Answer: C) X = 1/9, y = 1. 53. The linear equation 2x+3y=12 has A) Infinitely many solution. B) One solution. C) Two solutions. D) No solution. Show Answer Correct Answer: A) Infinitely many solution. 54. If 2x+3y = 12 and 3x-2y=5 then A) X = 3, y = 2. B) X = 2, y = 3. C) X = 3, y =-2. D) X = 2, y =-3. Show Answer Correct Answer: A) X = 3, y = 2. 55. If the system of equations kx-5y = 2, 6x + 2y = 7 has no solution, then k = ..... A) -5. B) -10. C) -15. D) -6. Show Answer Correct Answer: C) -15. 56. The ordered pair that satisfies (makes them true) all equations in the system is a called a ..... A) System of equations. B) Graph. C) Solution of a system. D) None of the above. Show Answer Correct Answer: C) Solution of a system. 57. The pair of equations $x=2$ $y=3$ A) Parallel. B) Intersecting at (2, 3 ). C) Intersecting at ( 3, 2 ). D) Coincident. Show Answer Correct Answer: B) Intersecting at (2, 3 ). 58. The equations $2x-3y+5=0$ $6y-4x=10$ A) No solution. B) Infinite solution. C) Only two solution. D) Only one solution. Show Answer Correct Answer: B) Infinite solution. 59. Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus.On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus. A) 100 km/h, 40 km/h. B) 1 km/h, 40 km/h. C) 10 km/h, 40 km/h. D) 10 km/h, 400 km/h. Show Answer Correct Answer: C) 10 km/h, 40 km/h. 60. Parallel lines have the same slope with a different y-intercept and how many solutions? A) No. B) Many. C) Infinite. D) One. Show Answer Correct Answer: A) No. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 1Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books