CBSE - Linear Equations

1 Linear Equations 

If  x + y= 7 and 3x — 2y = 11. Then the value of x will be:  

1) 5 
2) 6 
3) 7
4) 8

2 Linear Equations 

The sum of two numbers is 100 and one number is two less than twice the other number. Then the numbers are  

1)  34, 66  
2)  24, 76 
3)  44, 56 
4)  46, 54

3 Linear Equations 

Sum of the digits of two digit number is 9. The number obtained by interchanging the digit is 18 more than twice the original number. The original number is: 

1)  72  
2)  27 
3)  36 
4)  63

4 Linear Equations 

If  x-y = 3 and x + y ≥ 9 the least value of  x is:  

1) 6  
2) 3 
3) 2 
4) 1

5 Linear Equations 

The system of equation  x +2y =6 , 3x + 6y = 18

1) Is inconsistent  
2) Has an infinite number of solution  
3) Has a unique solution
4) None of these  

6 Linear Equations 

If the system of equations

                        2x + 3y = 7

                        2ax + (a + b)y = 28

has infinitely many solutions, then ________.

1)  a = 2b 
2) b = 2a 
3) a + 2b = 0 
4) 2a + b = 0

7 Linear Equations 

Five years ago the sum of ages of the father and the son was 40 years. In present it's ratio is 4:1, then the present age of father is………..   

1) 30 yr  
2) 40 yr 
3) 45 yr 
4) 42 yr

8 Linear Equations 

In the equations 3x + 2y = 13xy  and 4x - 5y = 2xy, the value of x and y satisfy that the equations are

1)  ( 2, 3 )
2)  ( 3, 2 ) 
3)  ( 1/2, 1/3 ) 
4)  ( 1/3, 1/2 )

9 Linear Equations 

If the system of equation  3x+ y = 1, (2k—1)x + (k - 1)y = (2k + 1) , has no solution, then the value of k is: 

1) 2 
2) 3 
3) -2 
4) 1

10 Linear Equations 

If  3y - 2 x = 4 and 4y -  px = 2. perpendicular to each other the value of ‘p’ will be:   

1) 3/2 
2) 8/3 
3) 6
4) -6