Q1.

A system of simultaneous linear equations is said to be consistent, if it has at least one solution.

  • True

  • False

  • can't say

  • None of these

Solution:

True

Q2.

Which statement is false?

(a). A system is consistent if it has unique solution.

(b). Parallel lines has no solution.

(c). Intersecting lines has inconsistent system.

(d). Coincide lines has many solutions.

  • (a)

  • (b)

  • (c)

  • (d)

Solution:

(c)

Q3.

If we plot a line 2x + 4y = 8, then it covers ___________ quadrants.

  • 1 Quadrant

  • 2 Quadrants

  • 3 Quadrants

  • 4 Quadrants

Solution:

3 Quadrants

Q4.

Find the area enclosed by the lines:

x = 0,  y = 0,  6x + 3y = 18. 

Area of triangle is _____ sq. units.

  • 9

  • 3

  • 12

  • 15

Solution:

9

Q5.

Solve and find x and y.

x + y = a + b;             ax - by -(a2 - b2 ) = 0        

  • x =a,  y = a

  • x = a,  y = b

  • x = b,   y = b

  • none of these

Solution:

x = a , y = b

Q6.

Find the value of k for which the following system of linear equations has infinite solutions.

x + ky = -y + 5;         kx + x + 9y + 1 = 8k 

  • 1

  • 2

  • 3

  • 4

Solution:

2

Q7.

The sum of the digits of a two digit number is 8 and the difference between the number and that formed by reversing the digits is 18. Find the number ?

  • 53

  • 62

  • 71

  • 35

Solution:

53

Q8.

Students of a class are made to stand in rows. If two students are more in each row then number of rows decreases by 3. If eight students are more in each row then number of rows decreases by six. Find the number of students.

  • 36

  • 23

  • 65

  • 45

Solution:

36

Q9.

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

  • a girl alone can finish the job in 160 days and a boy alone can finish the job in 280 days

  • a girl alone can finish the job in 140 days and a boy alone can finish the job in 280 days

  • a girl alone can finish the job in 160 days and a boy alone can finish the job in 290 days

  • a girl alone can finish the job in 180 days and a boy alone can finish the job in 230 days

Solution:

a girl alone can finish the job in 140 days and a boy alone can finish the job in 280 days