MCQ Class 10 Mathematics Pair of Linear Equations in 2 Variables (Elimination Method)

1. There will be total 10 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 values of x and y which satisfy the equations:
47x + 31y = 63 and 31x + 47y=15 are ____________

-2 and -1

2 and -1

2 and 1

-2 and 1

Question 1 of 10

2. If x + 2y = 5 & x - 2y = 7, then the value of x & y is: -

x = 6 & y = 3

x = 12 & y = -1/2

x = 6 & y = -1/2

None of the above

Question 2 of 10

3. Two cars start from two towns 400 km apart and travel towards each other. They pass each other in 4 hours. The difference in their speeds is 20 km / hr. Then, the speed of the faster car is __________

80km/hr

70km/hr

40km/hr

60km/hr

Question 3 of 10

4. Adding 1 to the numerator and subtracting 1 from the denominator of a fraction makes it 1. However, if 1 is added only to the denominator of the fraction it becomes ½ . The fraction is______

3/2

2/3

3/5

5/3

Question 4 of 10

5. In elimination method _____________ is an important condition.

Equating either of the coefficients

Equating only the y coefficient.

Equating only the x co-efficient.

Equating both the coefficients.

Question 5 of 10

6. The value of x in mx + ny = c; nx - ny = c + 1 is

x = (m + n) / (c + 1)

x = (2c + 1) / (m + n)

x = m + n

x = 2c + 1

Question 6 of 10

7. The sum of the digits of a two digit number is 12. The number obtained by reversing its digits exceeds the given number by 18. Then the number is______

75

25

52

57

Question 7 of 10

8. If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are, respectively.

3 and 1

-1 and -3

3 and 5

5 and 3

Question 8 of 10

9. A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Sunil paid Rs 28 for a book kept for seven days, while Sohail paid Rs 32 for the book he kept for nine days. Find the charge for each extra day.

Rs 3

Rs 20

Rs 2

Rs 18

Question 9 of 10

10. At a closing down sale, a book store was selling 3 books and 5 notebooks for Rs 309 or 6 books and 2 notebooks for Rs 282. How much would one book and 1 notebook cost?

75

33

57

42

Question 10 of 10

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