Question 1 :
I think of a decimal number. After I have subtracted $2.9$ from it, multiplied the result by $3$ and then added $0.15$, I get $10.5$. What decimal number I am thinking of?
Question 3 :
An employer pays Rs. $20$ for each day a worker works, and deducts Rs. $3$ for each day he is idle. At the end of $60$ days, a worker gets Rs. $280$. For how many days did the worker remain idle?
Question 4 :
IF the lines$ \displaystyle y=m_{1}x+c $and $y=m_{2}x+c_{2} $ are parallel , then
Question 7 :
The average of four consecutive even numbers P, Q, R and S respectively (in increaing order) is $51$. What is the product of P & R$?$
Question 10 :
IF 6 kg of sugar and 5 kg of tea together cost RS.209 and 4 kg of sugar and 3 kg of tea together cost RS. 131. then the cost of 1 kg sugar and 1 kg tea are respectovely
Question 11 :
Solve for $x$:-<br/>$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$
Question 12 :
A bag contains Rs. $90$ in coins. If coins of $50$ paise, $25$ paise, and $10$ paise are in the ratio $2 : 3: 5$, the number of $25$ paise coins in the bag is
Question 13 :
If $\displaystyle \left ( x-2 \right )\left ( x+3 \right )=x^{2}-4 $, the value of $x$ is:
Question 14 :
If $\sqrt { 1+\dfrac { x }{ 289 } } =1\dfrac { 1 }{ 17 }$ then $x=$
Question 15 :
The average age of a man and his son is $30$ years. The ratio of their ages four years ago was $10:3$ respectively. What is the difference between the present ages of the man and his son?
Question 17 :
If $9 - 7x = 5 - 3x$, then the value of $x$ is
Question 18 :
Ishika and her grandfather both had birthdays last week. The sum of their ages is $100$ years. Her grandfather's age is $4$ times Ishika's age. How old is Ishika?
Question 20 :
If $\sqrt {x-1}-\sqrt {x + 1} + 1= 0$, then $4x$ equals
Question 21 :
A number is as much greater than $31$ as it is less than $81$. The number is
Question 23 :
In a school for midday meal food is sufficient for 250 students for 33 days, if each student is given 125 gm meals. 80 more students joined the school.If same amount of meal is given to each student, then the food will last for
Question 24 :
What number divided by two is equal to that same number minus $15$?
Question 25 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 27 :
Solve the following linear equations. If $\cfrac{x-5}{3} = \cfrac{x-3}{5}$, then $x  $is equal to<br/>
Question 28 :
If $a\neq 0$ and $\dfrac{5}{x}=\dfrac{5+a}{x+a}$, what is the value of $x$?<br/>
Question 29 :
The numerator of a fraction is $5$ less than its denominator. If $3$ is added to the numerator and denominator both, the fraction becomes $\dfrac{4}{5}$. Find the original fraction.
Question 33 :
If $4x - 1 = 3x + 8$ then value of $x $ is equal to
Question 34 :
If $2x - (3x - 4) = 3x - 5$, then $x$ equals
Question 36 :
If $\sqrt {x-1}- \sqrt {x+1}+1 =0$, then $4x$ is equal to ____. 
Question 37 :
If $\displaystyle \frac{3x + 5}{2x + 7} = 4$ then x is
Question 38 :
If $x$ and $y$ are the two digits of the number $653xy$ such that this number is divisible by $80$, then $x+y=$?
Question 40 :
If $\sqrt{10+ \sqrt{25+ \sqrt{x+ \sqrt{154+ \sqrt{225}}}}} = 4$ find the value of $x$
Question 41 :
Given that $-6x=64-2\left( -x \right) $, calculate the value of $x$.
Question 44 :
A number consists of two digits. The digit in the tens place exceeds the digit in the units place by $4$. The sum of the digits is $\displaystyle \frac{1}{7}$ of the number. The number is
Question 46 :
A person bought 5 tickers from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs 350. If the sum of a ticket from P to Q and a ticket from P to R is Rs 42, then what is the fare from P to Q?
Question 47 :
Two numbers are such that the ratio between them is $3: 4$. If each is increased by $9$, the ratio between the new numbers formed is $6:7$. Find the original number.
Question 48 :
Pipe A can fill a tank in 10 hr and Pipe B can fill the same tank in 12 hr.Both the pipes are opened to fill the tank and after 3 hr Pipe A is closed.Pipe B will fill the remaining part of the taken in :
Question 49 :
Solve the following for $x$:<br/>$ \displaystyle \frac{2}{5}\left ( x-1 \right )=1-\frac{3}{5}\left ( 3x-5 \right ) $ 
Question 50 :
A rational number is such that when you multiply it by $\cfrac{5}{2}$ and add $\cfrac{2}{3}$ to the product, you get $-\cfrac{7}{12}$. What is the number?