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Class 10 Maths Practice Test: Pair of Linear Equations in Two Variables
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Avg score: 100% • Most missed: “What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5?”
Class 10 Maths Practice Test: Pair of Linear Equations in Two Variables
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14 Questions

1. 10 years ago, a woman was thrice the age of her daughter. Two years later her daughter’s age will be 30 more than the age of the mother. What are the present ages of the woman and the daughter?
2. It takes 10 men and 6 women to finish a piece of work in 4 days, while it takes 5 men and 7 women to finish the same job in 6 days. What will be the time taken by 1 man and 1 woman to finish the job?
3. What will be the value of k, if the lines given by 3x+ky-4 and 5x+(9+k)y+41 represent two lines intersecting at a point?
4. The lines 5x-7y=13 and 10x-14y=15 are inconsistent.
5. The lines 2x+5y=17 and 5x+3y=14 are consistent.
6. A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have?
7. What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5?
8. What will be the nature of the graph lines of the equations 2x+5y+15 and 6x+15y+45?
9. What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?
10. The sum of two numbers is 13 and the sum of their reciprocals is \(\frac {13}{40}\). What are the two numbers?
11. In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?
12. What will be the nature of the graph lines of the equations 5x-2y+9 and 15x-6y+1?
13. The sum of a two digit number and the number obtained by reversing the order of the digits is 187. If the digits differ by 1, then what will be the number?
14. What will be the value of k, if the lines given by x+ky+3 and 2x+(k+2)y+6 are coincident?

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