This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?3x + 2y = 3152x + 4y = 450 A) 45 minutes. B) 90 minutes. C) 60 minutes. D) 30 minutes. Show Answer Correct Answer: A) 45 minutes. 2. Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class. A) 40. B) 50. C) 60. D) 70. Show Answer Correct Answer: C) 60. 3. The cost of 4 pens and 4 pencil boxes is Rs 100. Three times the cost of a pen is Rs 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box. A) Rs 100, Rs 15. B) Rs 10, Rs 10. C) Rs 15, Rs 15. D) Rs 10, Rs 15. Show Answer Correct Answer: D) Rs 10, Rs 15. 4. What is pair of linear equations in two variables? A) A set of two or more linear equations in the same two variables. B) A polynomial with three terms. C) Set of two linear equations in same two variables. D) None of the above. Show Answer Correct Answer: C) Set of two linear equations in same two variables. 5. If a pair of equations is consistent then the lines will be A) Always intersecting. B) Parallel. C) Always coincident. D) Intersecting or coincident. Show Answer Correct Answer: D) Intersecting or coincident. 6. Which method is used to find infinitely many solutions of a pair of linear equations? A) Algebraic Method. B) Graphical Method. C) Elimination Method. D) Substitution Method. Show Answer Correct Answer: B) Graphical Method. 7. The coach of a cricket team buys 7 bats and 6 balls for ₹ 3800. He also buys 3 bats and 5 balls for ₹ 1750. We need to find the cost of one bat and one ball. The situation can be expressed algebraically as A) SA + Shi = 1750;ZKS + 5 = 3800. B) S-shi = 3800;ZKS + 5 = 1750. C) SA +ZI = 3800;ZKS + 5 = 1750. D) Ss + shi = 3800;ZKS + 5 = 1750. Show Answer Correct Answer: D) Ss + shi = 3800;ZKS + 5 = 1750. 8. The pair of equations 5x-15y = 8 and 3x-9y = 24/5 has: A) One solution. B) Two solutions. C) Infinitely many solutions. D) No solution. Show Answer Correct Answer: C) Infinitely many solutions. 9. A fruit seller sells apples at rupees 2 each and oranges at rupees 4 each. On Monday, his sold a total of 57 fruits and earned a revenue of rupees 158. Find out the total number of apples sold on Monday. A) 35. B) 15. C) 22. D) 43. Show Answer Correct Answer: A) 35. 10. What will be the solution of these equations ax+by=a-b, bx-ay=a+b A) X = 1, y = 2. B) X = 2, y =-1. C) X=-2, y=-2. D) X = 1, y =-1. Show Answer Correct Answer: D) X = 1, y =-1. 11. For what values of k will the following pair of linear equations have infinitely many solutions? $kx+3y-\left(k-3\right)=0$ $12x+ky-k=0$ A) $k=-4$. B) $k=6$. C) $k=-3$. D) $k=2$. Show Answer Correct Answer: B) $k=6$. 12. A fraction becomes $\frac{6}{5}$ $\frac{3}{2}$ A) $\frac{11}{9}$. B) $\frac{7}{9}$. C) $\frac{9}{11}$. D) $\frac{9}{7}$. Show Answer Correct Answer: A) $\frac{11}{9}$. 13. 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. 14. 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. 15. 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. 16. 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) 50. C) 60. D) 40. Show Answer Correct Answer: B) 50. 17. 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. 18. 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. 19. 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. 20. 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. 21. 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) 7x + 6y = 170 ; 5x+11y = 280. B) 7x + 11y = 280 ; 5x+ 6y = 170. C) 7x + 5y =170 ; 6x + 11y = 280. D) 5x + 7y =170 ; 6x + 11y = 280. Show Answer Correct Answer: C) 7x + 5y =170 ; 6x + 11y = 280. 22. What is the solution for equations below?y = 3x + 2y = 5x A) X = 2, y = 8. B) X = 5, y = 17. C) X = 1, y = 5. D) X =-2, y =-4. Show Answer Correct Answer: C) X = 1, y = 5. 23. 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 60, Rs 40. B) Rs 600, Rs 40. C) Rs 60, Rs 400. D) Rs 600, Rs 400. Show Answer Correct Answer: D) Rs 600, Rs 400. 24. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is: A) 4/3. B) 5/3. C) 3. D) 7/3. Show Answer Correct Answer: B) 5/3. 25. Determine, algebraically, the vertices of the triangle formed by the lines 3x-y = 3, 2x-3 y =2, x+2 y = 8 A) (1, 1), (2, 3), (4, 2). B) (1, 0), (2, 3), (4, 2). C) (1, 0), (2, 2), (4, 2). D) (1, 0), (2, 3), (4, 1). Show Answer Correct Answer: B) (1, 0), (2, 3), (4, 2). ← PreviousNext →Related 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 2Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 4Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 5Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 6Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 7Class 10 Economics Chapter 1 Development QuizClass 10 Economics Chapter 2 Sectors Of The Indian Economy QuizClass 10 Economics Chapter 3 Money And Credit QuizClass 10 Economics Chapter 4 Globalisation And The Indian Economy QuizClass 10 Economics Chapter 5 Consumer Rights QuizClass 10 English Chapter 1 A Letter To God QuizClass 10 English Chapter 10 The Sermon At Benares QuizClass 10 English Chapter 11 The Proposal QuizClass 10 English Chapter 3 Two Stories About Flying QuizClass 10 English Chapter 4 From The Diary Of Anne Frank QuizClass 10 English Chapter 5 And 6 The Hundred Dresses QuizClass 10 English Chapter 7 Glimpses Of India QuizClass 10 English Chapter 8 Mijbil The Otter QuizClass 10 English Chapter 9 Madam Rides The Bus QuizClass 10 English Poem Chapter 1 Dust Of Snow QuizClass 10 English Poem Chapter 10 The Tale Of Custard The Dragon QuizClass 10 English Poem Chapter 11 For Anne Gregory QuizClass 10 English Poem Chapter 2 Fire And Ice QuizClass 10 English Poem Chapter 3 A Tiger In The Zoo QuizClass 10 English Poem Chapter 4 How To Tell Wild Animals QuizClass 10 English Poem Chapter 5 The Ball Poem QuizClass 10 English Poem Chapter 6 Amanda! 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