BRILLIANT COACHING linear Equations in Two Variables

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      BRILLIANT COACHING


CBSE TEST PAPER-01


MATHEMATICS (Class-10)


Chapter 3 : Pair Linear Equations in Two Variables


1. For which values of a and b does the following pair of linear equations have an infinite number of solutions? (2 marks)


2x + 2y = 7, (a – b) x + (a + b) y = 3a + b – 2


2. Solve graphically: x + 3y = 6, 2x – 3y =12 (3 marks)


3. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month,the cost of 2 kg of apples and 1kg of grapes is Rs 300. Represent the situation algebraically and geometrically. (3 marks)


4. Solve the following pairs of equations: (3 marks)


(i) 4x – 3y – 8 = 0 (ii) 7x + 11y = 3


6x – y -29/3= 0 8x + y =15


5. A boat goes 30km upstream and 44km downstream in 10 hours. In 13 hours, it can go 40km upstream and 55km down-stream Determine the speed of the stream and that of the boat in still water. (3 marks)


6. Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? (3 marks)


7. A part of monthly hostel charges is fixed and the remaining depends on the number of daysne has taken food in the mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day. (3 marks)


8. Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test? (3 marks)


9. Places A and B are 100km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? (3 marks)