MCQ Class 10 Mathematics Pair of Linear Equations in 2 Variables ( Equations Reducible to Linear Form)

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The value of x, y in the following pair of Linear equations is:

A

B

C

D

Question 1 of 20

2. The value of x, y in the following pair of Linear equations is:
 

A

B

C

D

Question 2 of 20

3. The sum of ages of A and B is 50 years. A said to B, “I am twice as old as you were when I was as old as you are. Find the present age of B.

28

20

24

12

Question 3 of 20

4. The value of x, y in the following pair of Linear equations is:

-2, 3

3, 2

2,3

3, -2

Question 4 of 20

5. The value ofx,y in the following pair of Linear equations is:

4, 9

4,-9

9, 4

-4,9

Question 5 of 20

6. The value of x, y in the following
2^{x + 2} - 3^{y + 1} = 5 ………(1)
2^x + 3^y = 17 ………(2)

-2,3

2, -3

2, 3

3,2

Question 6 of 20

7. The value of x, y in the following pair of Linear equations is:

–3,2

3, 2

2, 3

3, -2

Question 7 of 20

8. The value of x, y in the following pair of Linear equations is:

3,2

2,-3

2,3

-3,2

Question 8 of 20

9. The value ofx, y in the following pair of Linear equations is:

-a,b

b, a

a,-b

a, b

Question 9 of 20

10. If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are

1 and 2

2 and 1

1 and 1/2

1/2 and

Question 10 of 20

11. The values of x and y , if

3.3 and 2.2

3.4 and 4.3

3.2 and 2.3

3.3 and 3.2

Question 11 of 20

12. A boat goes 35 km upstream and 42 km downstream in 11 hours. In 14 hours, it can go 43 km upstream and 59 km down-stream. To determine the speed of the stream and that of the boat in still water , express the information in the form of equations of the type ax + by + c = 0

A

B

C

D

Question 12 of 20

13. In an examination, one mark is awarded for every correct answer, while 1/4 mark is deducted for every wrong answer. A student answered 120 questions and got 20 marks. Which of the following pair of equations would give the result for how many questions did he answered correctly?

x + y = 120; 3x + 4y = 80

x + y = 120; 4x + 3y = 80

x + y = 120; - x + 4y = 80

x + y = 60; x + 4y = 80

Question 13 of 20

14. The value of x, y in the following pair of Linear equations is:
Where

1, -2

2,-1

-2, 1

2, 1

Question 14 of 20

15. The solution of the following pair of Linear equations is:

6,4

4,6

-6, 4

4,-6

Question 15 of 20

16. Find x and y given

a and b

a and -b

-a and b

-a and -b

Question 16 of 20

17. 3 women and 6 men can together finish a tailoring job in 5 days, while 4 women and 7 men can finish it in 4 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. The linear equations(in standard form) to solve this problem algebraically are

15u + 30v - 1 = 0; 16u + 28v - 1 = 0

15x - 30y + 1 = 0; 16x + 28y +1 = 0

16u + 30v - 1 = 0; 16u + 28v - 1 = 0

16x + 30y - 1 = 0; 16x + 28y - 1 = 0

Question 17 of 20

18. The values of x and y that satisfy the pair of equations:

4 and 5

1/3, 1/5

1/5, 1/3

5 and 4

Question 18 of 20

19. If 6x + 3y= 6xy ; 2x + 4y = 5xy, then the values of xand y are

½ and 1

1 and 2

2 and 1

1 and ½

Question 19 of 20

20. Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs 400. Find the value of the consignment.

1,20,000

15,000

12,000

20,000

Question 20 of 20

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