Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 3 (25 MCQs)

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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
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.
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.
4. What is pair of linear equations in two variables?
5. If a pair of equations is consistent then the lines will be
6. Which method is used to find infinitely many solutions of a pair of linear equations?
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
8. The pair of equations 5x-15y = 8 and 3x-9y = 24/5 has:
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.
10. What will be the solution of these equations ax+by=a-b, bx-ay=a+b
11. For what values of k will the following pair of linear equations have infinitely many solutions? $kx+3y-\left(k-3\right)=0$ $12x+ky-k=0$
12. A fraction becomes $\frac{6}{5}$ $\frac{3}{2}$
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
14. Say 'TRUE' or 'FALSE'The line represented by y = 0 is parallel to y-axis.
15. The graph of the equation 2x + 3y = 5 is a
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.
17. If the pair of linear equations has no solutions then they are
18. If x+y=14 and x-y=4 then the values of x and y are .....
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?
20. The pairs of equations x+2y-5=0 and-4x-8y+20=0 have:
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
22. What is the solution for equations below?y = 3x + 2y = 5x
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
24. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:
25. Determine, algebraically, the vertices of the triangle formed by the lines 3x-y = 3, 2x-3 y =2, x+2 y = 8