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Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 2 (25 MCQs)

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1. Solve the system of equations by substitution.y =-4x + 5y = 3x-16
2. 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.
3. Solve $2x+3y=11$ $2x-4y=-24$ $y=mx+3$
4. Which of these systems has an infinite number of solutions?
5. A fraction becomes. when subtracted from the numerator and it becomes. when 8 is added to its denominator. Find the fraction.
6. Which of the following pairs of equations represent an inconsistent system?
7. The path of a train A is given by the equation $x+2y-4=0$ $2x+4y-12=0$
8. Which method is used to find the unique solution of a pair of linear equations?
9. If a pair of equation is consistent, then the lines will be
10. The equations 4x + 3y = 5 and 12x + 9y = 15 represent
11. Write an equation in Standard Form.A store sells t-shirts for $ 12 each and sweatshirts for $ 15 each. You plan to spend $ 120 on t-shirts and sweatshirts.
12. Ganesh has to pay Rs. 482 for 19 apples and 11 guavas. If he would have exchanged the number of apples and guavas purchased, then he would have paid Rs.64 less. Find how much more amount he has to pay to purchase 1 apple than 1 guava
13. A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.
14. The pair of equations 3x-5y = 7 and 6x + 10y = 7 have
15. For what value of k will the following equations have infinitely many solutions? 2x-3y=7, (k+1) x+ (1-2k) y=5k-4
16. The graph of x =-2 is a line parallel to the
17. The pair of linear equations 6x-7y = 1 and 3x-4y = 5 has( 1 mark )
18. The dependent equations has
19. If speed of water is x km/hr and that of boat in still water be y km/hr, then the speed of boat while going downstream is ..... km/hr
20. Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
21. Five year ago, Namita was thrice as old as Mamta. Ten years later, Namita will be twice as old as Mamta. How old is Mamta at present?
22. The pair of equations $x+2y+5=0$ $-3x-6y+1=0$
23. If x=3 in 5x +2y= 10 then y=
24. If 2 is added to the numerator and denominator of a fraction it becomes 9/10. When 3 is subtracted from the numerator and denominator it becomes 4/5. If x is the numerator and y is the denominator, represent this information as a pair of linear equations.
25. I we add1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction. This situation can be represented algebraically as
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