Question 1 :
Which of the following equations has the vertex of $(3, -3)$?

Question 3 :
Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. Nuri's age is _____

Question 4 :
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 5 :
If the temperature is 95$^o$ F, what is the temperature in Celsius?

Question 8 :
A machine takes $2$ litres of petrol to start and then $3$ litres per hour while running. What will be the amount of petrol used if machine starts but does not run?

Question 10 :
If, $x+\dfrac{1}{y} = 1$ and $y-\dfrac{1}{z} = 1$, then the value of $xyz$ is

Question 12 :
The numerator of a fraction is $4$ is less than the denominator. If the numerator is decreased by $2$ and the denominator is increased by $1$, then the denominator is eight times the numerator, find the fraction.

Question 13 :
A man started his job with a certain monthly salary andearned a fixed increment every year. If his salary was $Rs.4500$ after $5$ years of service and $Rs.5550$ after $12$ years of service, what was his starting salary and what was his annual increment.

Question 15 :
When the greater of the two numbers increasedby 1 divides the sum of the numbers, theresult is $\displaystyle \frac{3}{2}$. When the difference of thesenumbersis divided by the smaller, the result is $\displaystyle \frac{1}{2}$.Findthe number.

Question 16 :
The sum of the ages of $X$ and $Y$ $12$ years ago was $48$ years and the sum of the ages of $X$ and $Y$ $12$ years hence will be _____ years.

Question 17 :
Find the value of<br>${ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } +x \right) }^{ 5 }-{ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } -x \right) }^{ 5 }$

Question 18 :
The ratio of two numbers is $5:4$ and their sum is $54$. The greater of the two numbers is&#160;

Question 19 :
The cost of using a telephone in a hotel meeting room is $&#160;$0.20$ per minute. Which of the following equations represents the total cost $c$, in dollars, for $h$&#160;<u>hours</u>&#160;of phone use?

Question 20 :
In a fraction, if the numerator is decreased by $1$ and the denominator is increased by $1$, then the resulting fraction is $\dfrac14$. Instead if the numerator is increased by $1$ and the denominator is decreased by $1$, then the resulting fraction is $\dfrac23$. Find the absolute difference of the numerator and the denominator of the fraction.

Question 22 :
Total cost of $15$ erasers and $25$ pencils is Rs. $185$ and the total cost of $9$ erasers and $x$ pencils is Rs. $106$. Which of the following cannot be the value of $x$?

Question 23 :
A bakery gave out coupons to celebrate its grand opening. each coupon was worth either $1$, $3$, or $5$. Twice as many $1$ coupons were given out as $3$ coupons, and $3$ times as many$3$ coupons were given out as $5$ coupons. The total value of all the coupons given out was $360$. How many $3$ coupons were given out?