#### MCQ Questions for Class 10 Maths with Answers Chapter 3 Pair of Linear Equations in Two Variables with Answers

These **MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equation in Two Variables** are prepared according to the latest pattern. It is very helpful for students who wants to do quick revision of all the concepts related to linear equations.

#### Pair of Linear Equations in Two Variables

**Q.1. The pair of equations 6x â€“ 10y = 7 and â€“ 6x + 10y = 9 have**

(a) a unique solution

(b) infinitely many solutions

(c) no solution

(d) two solutions

## Answer

(c)**Q.2. Graphically, the pair of equations 7x â€“ y = 5; 28x â€“ 4y =** **11 represents two lines which are**

(a) intersecting at one point

(b) parallel

(c) intersecting at two points

(d) coincident

## Answer

(b)**Q.3. The graph of x = -2 is a line parallel to the**

(a) x-axis

(b) y-axis

(c) both x- and y-axis

(d) none of these

## Answer

(b)**Q.4. The pair of equation x = â€“ 4 and y = â€“ 5 graphically represents lines which are**

(a) intersecting at (- 5, â€“ 4)

(b) intersecting at (- 4, â€“ 5)

(c) intersecting at (5, 4)

(d) intersecting at (4, 5)

## Answer

(b)**Q.5. If in the equation x + 3y = 10, the value of y is 4, then the value of x will be**

(a) -2

(b) 2

(c) 4

(d) 5

## Answer

(a)**Q.6. One equation of a pair of dependent linear** **equations is 2x + 5y = 3. The second equation will be**

(a) 2x + 5y = 6

(b) 3x + 5y = 3

(c) -10x â€“ 25y + 15 = 0

(d) 10x + 25y = 15

## Answer

(c)**Q.7. 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)**Q.8. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k â€“ 1 has infinitely many solutions is**

(a) 2

(b) 3

(c) 4

(d) 5

## Answer

(a)**Q.9. 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**

(a) 27

(b) 72

(c) 45

(d) 36

## Answer

(d)**Q.10. Asha has only â‚¹1 and â‚¹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is â‚¹75, then the number of â‚¹1 and â‚¹2 coins are, respectively**

(a) 35 and 15

(b) 15 and 35

(c) 35 and 20

(d) 25 and 25

## Answers

(d)**Q.11. The value of k for which the equations (3k + 1)x + 3y = 2; (k ^{2} + 1)x + (k â€“ 2)y = 5 has no solution, then k is equal to**

(a) 2

(b) 3

(c) 1

(d) -1

## Answer

(d)**Q.12. The fatherâ€™s age is six times his sonâ€™s age. Four years hence, the age of the father will be four times his sonâ€™s age. The present ages 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)**Q.13.** **If a pair of linear equations is consistent, then the lines are:**

(a)Parallel

(b)Always coincident

(c)Always intersecting

(d)Intersecting or coincident

## Answer

(d) The two lines definitely have a solution. So the correct choice is option (d).**Q.14. The pair of equations 9x â€“ 5y – 7=0 and 3x – 10y – 9=0 have**

(a) a unique solution

(b) infinitely many solutions

(c) no solution

(d) two solutions

## Answer

(a)**Q.15. 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

the questions were really good

Good questsion