Test Details

linear equations

practice test 3

Nov 18, 8:00 PM

45 minutes

Nov 18, 8:45 PM

20.0 marks

MCQ

20 questions

Jitendra Singh

Higher Secondary Teacher

Class Details

MATHS

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Question Text

Question 1 :
For what value of $c$, the linear equation $2x + cy = 8$ has equal values of $x$ and $y$ for its solution.<br/>

Question 2 :
The graphs of $2x + 3y - 6 = 0, 4x - 3y -6 =0, x = 2, and y = \dfrac{2}{3}$ intersect in:

Question 3 :
Two lines $y = 3x$ and $x = 3y$ intersect each other in ................

Question 5 :
The number of positive integers $k$ for which the equation $kx-12=3k$ has an integer solution for $x$ is ____.

Question 6 :
The expenses of a hotel consists of two parts. One part varies with the number of inmates while the other is always constant. When the number of inmates is 200 and 250 the expenses are respectively Rs. 1300 and Rs. 1600. Then the expenses for 300 inmates are ____________.

Question 8 :
Solve 3x + 2y + 25 = 0 & x + y + 15 = 0

Question 10 :
One set of ordered pair which belong to a straight line represented by an equation $y = 2x - 1$ is

Question 11 :
If the expression$ \displaystyle (x+y)^{-1}. (x^{-1}+y^{-1})(xy^{-1}+x^{-1}y)^{-1} $ is simplefied it takes the form of which one of the following ?

Question 13 :
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are

Question 14 :
Solve 9x - 4y = 8 & 13x + 7y = 101

Question 16 :
Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. $700$ when there are $25$ boarders and Rs. $600$ when there are $50$ boarders. What is the average expense per boarder when there are $100$ boarders?

Question 17 :
$5$ pencils and $7$ pens together cost Rs. $50$, whereas $7$ pencils and $5$ pens together cost Rs. $46$. The cost of one pencil is _____

Question 18 :
Which of the following is a solution of the equation 4x + 3y = 16?

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