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Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 1 (25 MCQs)

Quiz Instructions

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1. The value of k for which the system of equations 3x+5y=0 and kx+10y=0 have infinitely many solutions is .....

Correct Answer: C) 6.

2. Given the linear equation 12x-4y = 20, which of the following linear equations in two variables is such that the geometrical representation of the pair formed is two intersecting lines.1. 6x + 4y =102. 6x-2y = 10

Correct Answer: A) 1.

3. The equation y = 3x + 5 has .....

Correct Answer: D) Infinitely many solutions.

4. Twice the difference of the two numbers is 24.If the two numbers are m and n represent this information in the form of a linear equation.

Correct Answer: B) 2 (m-n ) = 24.

5. If a pair of linear equations is consistent, then the corresponding lines will be .....

Correct Answer: D) Intersecting or coincident.

6. There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

Correct Answer: B) D + C = 504D + 2C = 174.

7. Y =-2x + 18y = 8

Correct Answer: A) (5, 8).

8. The pair of linear equations X + 2y-8 = 0 and 2x + 4y =16 has

Correct Answer: C) Infinitely many solutions.

9. A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

Correct Answer: C) 10 km/h, 4 km/h.

10. 29x+37y=103 and 37x+29y = 95 then

Correct Answer: A) X = 1, y = 2.

11. If the lines given by 3x+2ky =2 and 2x+5y+1= 0 are parallel then the value of k is .....

Correct Answer: D) $\frac{15}{4}$.

12. The system of equations kx-y = 2 and 6x-2y = 3 has a unique solution only when k = .....

Correct Answer: D) Not equal to 3.

13. Solve the system by elimination.-4x-4y = 0 4x + 4y = 0

Correct Answer: B) Infinite number of solutions.

14. The equations 4x + 3y-1 = 5 and 12x + 9y = 15 represent

Correct Answer: A) No solution.

15. The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. if 3 students are less in a row, there would be 2 rows more. To find the number of students, the situation can be represented algebraically as

Correct Answer: C) X-3y + 3 = 0 ; 2x-3y-6 = 0.

16. When do the lines of a pair of linear equations coincide?

Correct Answer: B) When a1/a2 = c1/c2.

17. The value of c for which the pair of equations cx-y = 2 and 6x-2y = 3 will have infinitely many solutions is

Correct Answer: D) No value.

18. The linear equation 2x+3=12 has

Correct Answer: A) One solution.

19. Solution of the system of equations $\sqrt{2}x-\sqrt{5}y=0$ $\sqrt{5}x+\sqrt{2}y=0$

Correct Answer: C) $ x = 0, \\y = 0 $.

20. The pair of lines 'x = a' and 'y = b' graphically represent lines which are

Correct Answer: B) Intersecting at (a, b).

21. ASSERTION:The linear equation x-2y-3=0 and 3x+4y-20=0 have exactly one solutions.REASON:The linear equation 2x+3y-9=0 and 4x+6y-18=0 have a unique solution.

Correct Answer: C) Assertion is true but Reason is false.

22. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is

Correct Answer: C) 15/4.

23. During lockdown, Amar and Birju decided to walk to their village 30 kms away. Amar took 3 hours more than Birju to reach the village. However, if Amar had walked twice as fast he would have reached 3/2 hours before Birju. Find their speed of walking.

Correct Answer: B) Amar's speed = 10/3 kmphBirju's speed = 5 kmph.

24. The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is

Correct Answer: D) 36.

25. Find the value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

Correct Answer: D) 8.

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