25+ Pair of Linear Equations in Two Variables MCQs Class 10 2021-22 | MCQ Questions for Class 10 Maths Chapter 3 with Answers

Saransh Varshney
0

 

MCQ Questions for Class 10 Maths Linear Equations in Two Variables with Answers:-

Pair of Linear Equations in Two Variables MCQs:

Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 3 of Class 10 Maths NCERT. You will read Pair of Linear Equations in Two Variables MCQs for Term-1 Board Exams 2021-22.

Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked. 

So you have to practice MCQs of all chapters of your syllabus.

If you want to stay updated to class 10 news and updates, join our Telegram Channel.

To join Telegram Channel, Click on the image below.


Pair of Linear Equations in Two Variables MCQs |MCQ Questions for Class 10 Maths Pair of Linear Equations in Two Variables with Answers:-


1. Graphically, the pair of equations 7x – y = 5; 28x – 4y = 11 represents two lines which are:

(a) Intersecting at one point
(b) Parallel
(c) Intersecting at two points
(d) Coincident

Answer: (b) Parallel

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

(a) 3                                                   
(b) – 3
(c) –12                                               
(d) No value

Answer: (a) 3

3. What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?

(a) 5
(b) 4
(c) 6
(d) 7

Answer: (b) 4

4. A fraction becomes`\frac1{3}`when 1 is subtracted from the numerator and it becomes `\frac1{4}` when 8 is added to its denominator. The fraction obtained is:

(a) `\frac3{12}`
(b) `\frac1{12}`
(c) `\frac5{12}`
(d) `\frac7{12}`

Answer: (c) `\frac5{12}`

5. Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively:

(a) 35 and 15
(b) 15 and 35
(c) 35 and 20
(d) 25 and 25

Answer: (d) 25 and 25

6. The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if:

(a) a = b
(b) 3a = 2b
(c) 2a = 3b
(d) ab = 6

Answer: (c) 2a = 3b

7. The sum of a two digit number and the number obtained by reversing the order of the digits is 187. If the digits differ by 1, then what will be the number?

(a) 67
(b) 54
(c) 89
(d) 67

Answer: (c) 89

8. The pair of equations x = a and y = b graphically represents lines which are:

(a) Parallel 
(b) Intersecting at (b, a)
(c) Coincident 
(d) Intersecting at (a, b)

Answer: (d) Intersecting at (a, b)

9. One equation of a pair of dependent linear equation is -5x + 7y = 2. The second equation can be:

(a) 10x + 14y + 4 = 0
(b) -10x – 14y + 4 = 0
(c) -10x + 14y + 4 = 0
(d) 10x – 14y = -4

Answer: (d) 10x – 14y = -4

10. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively:

(a) 4 and 24                                       
(b) 5 and 30
(c) 6 and 36                                       
(d) 3 and 24

Answer: (c) 6 and 36

11. If 29x + 37y = 103; 37x + 29y = 95 then:

(a) x = 1, y = 2
(b) x = 2, y = 1
(c) x = 2, y = 3
(d) x = 3, y = 2

Answer: (a) x = 1, y = 2

12. In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?

(a) 30, 70
(b) 50, 50
(c) 45, 55
(d) 60, 40

Answer: (b) 50, 50

13. The graph of the equation 2x + 3y = 5 is a:

(a) Vertical line
(b) Straight line
(c) Horizontal line
(d) None of these

Answer: (b) straight line

14. 8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work:

(a) 120, 130
(b) 140, 280
(c) 240, 280
(d) 100, 120

Answer:  (b) 140, 280

15. In a competitive examination, one mark is awarded for each correct answer while `\frac{1}2` mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?

(a) 100                                                                     
(b) 95
(c) 90                                                             
(d) 60

Answer: (a) 100

16. Which of the following method(s) is/are used to find the solution of a pair of linear equations algebraically?

(a) Substitution Method
(b) Elimination Method
(c) Cross- multiplication Method
(d) All the above

Answer: (d) All the above

17. The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are:

(a) 45°, 75°
(b) 50°, 80°
(c) 55°, 85°
(d) 55°, 95°

Answer: (c) 55°, 85°

18. The graph of y = 4x is a line:

(a) Parallel to x-axis
(b) Parallel to y-axis
(c) Perpendicular to y-axis
(d) Passing through the origin

Answer: (d) Passing through the origin

19. The pair of equation x = – 4 and y = – 5 graphically represents lines which are:

(a) Intersecting at (- 5, – 4)
(b) Intersecting at (- 4, – 5)
(c) Intersecting at (5, 4)
(d) Intersecting at (4, 5)

Answer: (b) intersecting at (- 4, – 5)

20. Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.

(a) 20
(b) 50
(c) 60
(d) 40

Answer: (b) 50

21. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively:

(a) 4 and 24 
(b) 5 and 30
(c) 6 and 36 
(d) 3 and 24

Answer: (c) 6 and 36

22. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:

(a) 40, 42                                           
(b) 42, 48
(c) 40, 48                                           
(d) 44, 50

Answer: (c) 40, 48  

23. Match the Column:Linear equations in two Variables Class 10 MCQ with Answers

(a) 1 - A, 2 - B, 3 - C
(b) 1 - B, 2 - C, 3 - A
(c) 1 - C, 2 - B, 3 - A
(d) 1 - A, 2 - C, 3 - B

Answer: (d) 1 - A, 2 - C, 3 - B

24. A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have?

(a) 0
(b) 3
(c) 2
(d) 1

Answer: (b) 3

25. The angles of cyclic quadrilaterals ABCD are: A = (6x+10), B=(5x)°, C = (x+y)° and D=(3y-10)°. The value of x and y is:

(a) x=20° and y = 10°
(b) x=20° and y = 30°
(c) x=44° and y=15°
(d) x=15° and y=15°

Answer: (b) x=20° and y = 30°

26. The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference betw een the two digits of the number?

(a) 9
(b) 6
(c) 12
(d) 3

Answer: (d) 3

27. The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number:

(a) 46
(b) 48
(c) 64
(d) 84

Answer: (c) 64

28. The pair of equations x = 0 and x = 5 has:

(a) No solution
(b) Unique/one solution
(c) Two solutions
(d) Infinitely many solutions

Answer: (c) Two solutions

So guys here comes end. In this article, I shared 25+ Pair of Linear Equations in Two Variables MCQs of CBSE Class 10 Maths MCQs 2021-22. 

Hope you liked this article. Don't forget to join our Telegram Channel to stay updated.

Comment if you liked it.

Thanks.
head>

Post a Comment

0 Comments
* Please Don't Spam Here. All the Comments are Reviewed by Admin.
Post a Comment (0)

#buttons=(Accept !) #days=(20)

Our website uses cookies to enhance your experience. Learn More
Accept !
To Top

Join Telegram Channel

Join Pareeksha Time

Join Telegram Channel