Test Details

Pair of Linear Equations in Two Variables

Mcqs

Jan 22, 11:00 AM

120 minutes

Jan 31, 6:00 PM

32.0 marks

MCQ

18 questions

SOFI, HILAL AHMAD

teaching high school math from more than 8 years

Class Details

Math

Class 10th

Math

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Question Text

Question 1 :
In a zoo there are some pigeons and some rabbits. If their heads are counted these are $300$ and if their legs are counted these are $750$ How many pigeons are there?

Question 2 :
What is the nature of the graphs of a system of linear equations with exactly one solution?

Question 3 :
The  linear equation, such that each point on its graph has an ordinate $3$ times its abscissa is $y=mx$. Then the value of $m$ is

Question 7 :
The linear equation $y = 2x + 3$ cuts the $y$-axis at 

Question 9 :
The values of x and y satisfying the two equation 32x+33y=31, 33x+32y=34 respectively will be

Question 10 :
If the equations $4x + 7y = 10 $ and $10x + ky = 25$ represent coincident lines, then the value of $k$ is

Question 11 :
If the product of two numbers is $10$ and their sum is $7$, which is the greatest of the two numbers?

Question 12 :
Solve the following pair of simultaneous equations:$\displaystyle\, 4x\, +\, \frac{3}{y}\, =\, 1\,; 3x\, -\, \frac{2}{y}\, =\, 5$

Question 13 :
A piece of cloth costs rupees $75$. If the piece is four meters longer and each meter costs rupees $5$ less, the cost remains unchanged. What is the length of the piece?

Question 14 :
If $(3)^{x + y} = 81$ and $(81)^{x - y} = 3$, then the values of $x$ and $y$ are

Question 15 :
Solve the following simultaneous equations :$\displaystyle \frac{1}{3x}\, +\, \frac{1}{5y}\, =\, \frac{1}{15};\quad \frac{1}{2x}\, +\, \frac{1}{3y}\, =\, \frac{1}{12}$

Question 16 :
Based on equations reducible to linear equations, solve for $x$ and $y$: $\dfrac {x-y}{xy}=9; \dfrac {x+y}{xy}=5$

Question 17 :
Equations $\displaystyle \left ( b-c \right )x+\left ( c-a \right )y+\left ( a-b \right )=0$ and $\displaystyle \left ( b^{3}-c^{3} \right )x+\left ( c^{3}-a^{3} \right )y+a^{3}-b^{3}=0$ will represent the same line if

Question 18 :
Father's age is three times the sum of ages of his two children. After $5$ years his age will be twice the sum of ages of two children. Find the age of father.

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