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.
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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:
(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.
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