Question Text
Question 2 :
A choir is singing at a festival. On the first night $$12$$ choir members were absent so the choir stood in $$5$$ equal rows. On the second night only $$1$$ member was absent so the choir stood in $$6$$ equal rows. The same member of people stood in each row each night. How many members are in the choir?
Question 3 :
Assem went to a stationary shop and purchased $$3$$ pens and $$5$$ pencils for $$Rs.40$$. His cousin Manik bought $$4$$ pencils and $$5$$ pens for $$Rs. 58$$. If cost of $$1$$ pen is $$Rs.x$$, then which of the following represents the situation algebraically?
Question 4 :
For what value of k does the system of equations$$\displaystyle 2x+ky=11\:and\:5x-7y=5$$ has no solution?
Question 5 :
Find the solution of $$x$$ and $$y$$ using cross multiplication method: $$3x - y = 1$$ and $$x + 2y = 5$$<br/>
Question 6 :
Solve the following pairs of linear (simultaneous) equation by the method of elimination by substitution:$$1.5x + 0.1y = 6.2$$, $$3x - 0.4y = 11.2$$
Question 7 :
Solve the following pair of equations by reducing them to a pair of linear equations:<br/>$$\dfrac{2x-3y}{xy}=4$$ and $$\dfrac{15x+3y}{xy}=30$$
Question 9 :
Equation of a straight line passing through the point $$(2, 3)$$ and inclined at an angle of $$\tan^{-1} \left(\dfrac{1}{2}\right)$$ with the line $$y + 2x = 5$$ is
Question 10 :
A line perpendicular to the line $$\displaystyle 3x-2y=5$$ cuts off an intercept $$3$$ on the positive side of the $$x$$-axis. Then 
