MCQ - Worksheet 1

Transcript

Chapter 3 Class 10 Linear Equations In Two Variables - MCQ Worksheet 1 by teachoo Chapter: Chapter 3 Class 10 Maths – Linear Equations in Two Variables Name: _____________________________ School: _____________________________ Roll Number: _____________________________ 1. A mobile company offers two plans. Plan A is represented by the equation y=0.5x+20 and Plan B by y=0.7x+10, where x is the number of minutes used and y is the total cost. The graph of these equations results in two intersecting lines. What does the point of intersection represent? a) The starting cost of each plan. b) The cost per minute for each plan. c) The number of minutes for which both plans cost the same. d) The maximum number of minutes a user can talk. 2. Two friends, Rohan and Sanya, are cycling on straight paths represented by the equations 2x+3y=4 and 4x+6y=12. What can you conclude about their paths? a) They will cross each other at exactly one point. b) They are cycling on the same path. c) They are cycling on parallel paths and will never meet. d) They started at the same point. 3. A shopkeeper is making gift baskets with apples ( a ) and oranges ( o ). One basket type follows the rule a=2o. Another follows 3a+ 4o=100. If he wants to create a basket that satisfies both rules, what does he need to find? a) The graph of a=2o. b) A solution that only satisfies 3a+4o=100. c) The point of intersection of the graphs of the two equations. d) The total number of fruits in the basket. 4. The equations y=x+2 and y=-x+4 represent the paths of two hikers on a map. Which of the following descriptions best represents the graph of their paths? a) Two parallel lines. b) A line with a positive slope and a line with a negative slope intersecting. c) Two lines that are coincident. d) A horizontal line and a vertical line. 5. If the cost of 2 pens and 3 notebooks is ₹100, and the cost of 4 pens and 6 notebooks is ₹200, which of the following is true about the cost of a single pen and a single notebook? a) A unique price for each can be determined. b) The prices cannot be determined. c) There are infinitely many possible prices for each. d) The price of a pen must be ₹10. 6. A boat's speed in still water is x" " km/h, and the speed of the stream is y" " km/h. Its speed upstream is given by x-y=5 and downstream by x+y=15. What does the value of x represent? a) The speed of the stream. b) The average speed of the boat. c) The speed of the boat in still water. d) The difference in speeds. 7. A graph represents the distance ( y-axis, in km ) versus time ( x-axis, in hours) for two cyclists, A and B. The path of Cyclist A is a line starting from the origin (0,0). The path of Cyclist B is a line starting from (0,10), indicating a 10 km head start. The line for Cyclist A is steeper than the line for Cyclist B, and they intersect at a point. What can be concluded at the point of intersection? a) Cyclist B is faster than Cyclist A. b) It is the point in time where Cyclist A, who started from a different point, catches up to Cyclist B. c) It is the starting point for both cyclists. d) Both cyclists stop at this point. 8. The perimeter of a rectangular garden is 40 m . The length (l) is 4 m more than the width (w). Which pair of equations models this situation? a) l+w=40 and l=w+4 b) 2(l+w)=40 and l=w+4 c) lw=40 and l=w+4 d) 2(l+w)=40 and w=l+4 9. A system of linear equations is called 'inconsistent'. In a real-world context, what does this imply? a) The two situations described are identical. b) There is a single, unique outcome for the situation. c) There are endless possibilities for the outcome. d) The conditions of the two situations can never be met simultaneously. 10. A father's age is three times the sum of the ages of his two children. Let the father's age be x and the sum of his children's ages be y. The equation is x=3y. If one child is 5 and the other is 7 , what is the father's age? a) 21 b) 30 c) 36 d) 42 Important links Answer of this worksheet - https://www.teachoo.com/25588/5360/MCQ---Worksheet-1/category/Teachoo-Questions---MCQs/ Full Chapter with Explanation, Activity, Worksheets and more – https://www.teachoo.com/subjects/cbse-maths/class-10th/ch3-10th-pair-of-linear-equations-in-two-variables/ Science Class 10– https://www.teachoo.com/subjects/science/class-10/ Maths Class 10- https://www.teachoo.com/subjects/cbse-maths/class-10th/ For more worksheets, ad-free videos and Sample Papers – subscribe to Teachoo Black here - https://www.teachoo.com/black/   Answer Key to MCQ Worksheet 1 c) The number of minutes for which both plans cost the same. c) They are cycling on parallel paths and will never meet. c) The point of intersection of the graphs of the two equations. b) A line with a positive slope and a line with a negative slope intersecting. c) There are infinitely many possible prices for each. c) The speed of the boat in still water. b) It is the point in time where Cyclist A, who started from a different point, catches up to Cyclist B. b) 2(l+w)=40 and l=w+4. d) The conditions of the two situations can never be met simultaneously. c) 36