Q1.

Find the area of triangle formed by the lines y = x, x = 3 and y = 0.

  • 4.5

  • 5.75

  • 4

  • 9

Solution:

4.5

Q2.

If the system of equations :   x + y = 3 and 3x + 3y = k, has infinitely many solutions, find K.

  • 8

  • 9

  • 6

  • 5

Solution:

9

Q3.

Find the value of K, if the system of linear equations is inconsistent:

3x + y - 1 = 0,    

(2k - 1)x + ( k - 1)y - 2k - 1 = 0

 

  • 1

  • 2

  • 3

  • 4

Solution:

2

Q4.

Find the relation between a and b, if the system of equations has infinitely many solutions:

2x + 3y = 7,   2ax + ay + by - 28 = 0

  • a = -b

  • a = b

  • b - 2a = 0

  • 2b - a = 0

Solution:

b - 2a = 0

Q5.

Find the area of triangle formed by the lines x = 3,  y = 4 and x = y is ( in sq. units)

  • 1

  • 6

  • 3

  • 0.5

Solution:

0.5

Q6.

Students of class x are to be arranged in row. If a student is extra in a row, there would be two rows less. If one student is less in a row there would be 3 rows more. Find the number of students in the class ?

  • 76

  • 56

  • 45

  • 60

Solution:

60

Q7.

The sum of the numerator and denominator of a  fraction is 12. If the denominator is increased by three, the fraction becomes 1/2. Find the fraction?

  • 5/7

  • 1/11

  • 7/5

  • 3/9

Solution:

5/7

Q8.

Ved travels 600km to his home partly by train and partly by car. he takes 8 hrs if he travels 120 km by train and the rest by car. He takes 20 minutes longer if he travels 200 km by train and the rest by car. Find the speed of the train and the car.

  • speed of train 40 km/h and speed of car 60 km/h

  • speed of train 60 km/h and speed of car 80 km/h

  • speed of train 90 km/h and speed of car 60 km/h

  • speed of train 40 km/h and speed of car 65 km/h

Solution:

speed of train 60 km/h and speed of car 80 km/h