Question 3 :
Solve: $\displaystyle (7x\, -\, 1)\, -\, \left(x\, -\, \frac{1\, -\, x}{2}\right)\, =\, 5x\, +\, \frac{1}{2}$
Question 4 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 5 :
If $4x - 1 = 3x + 8$ then value of $x $ is equal to
Question 6 :
Solve for $x$:-<br/>$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$
Question 9 :
A car covers a distance of $528$km in a certain time at a speed of $66$km$/$hr. How much distance would a trick cover at an average speed which is $24$km$/$hr less than that of the speed of the car in time which is $7$ hours more than that taken by the car$?$
Question 11 :
Solve the following linear equations. If $\cfrac{x-5}{3} = \cfrac{x-3}{5}$, then $x  $is equal to<br/>
Question 12 :
If $Rs.50$ is distributed among $150$ children giving $50p$ to each boy and $25p$ to each girl, then the number of boys is:
Question 13 :
Solve the following equations and check your results. If $x = \cfrac{4}{5}\left ( x+10 \right)$, then $x = $
Question 15 :
Solve the following equation and check your result.$3x =2x + 20$<br/>What is the value of the $x$?<br/>
Question 16 :
A machine produces $2825$ screws in a day and after a month $(30\ \text{days})$, these screws are distributed equally to five dealers in different parts of the city. The number of screws each dealer got is _________.
Question 17 :
Solve the linear equation:$\cfrac { 1 }{ x+1 } =\cfrac { 2 }{ x+10 } $<br/>
Question 19 :
IF the lines$ \displaystyle y=m_{1}x+c $and $y=m_{2}x+c_{2} $ are parallel , then
Question 20 :
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 21 :
The ages of $A$ and $B$ are in the ratio $3 : 1$. Fifteen years hence, the ratio will be $2 : 1$. Their present ages, respectively, are
Question 22 :
In the expression $\cfrac { x+1 }{ x-1 } $ each $x$ is replaced by $\cfrac { x+1 }{ x-1 } $. The resulting expression, evaluated for $x=\cfrac { 1 }{ 2 } $ equals:
Question 25 :
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 26 :
If $\displaystyle \frac{3x + 5}{2x + 7} = 4$ then x is
Question 27 :
If $x$ and $y$ are the two digits of the number $653xy$ such that this number is divisible by $80$, then $x+y=$?
Question 31 :
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 32 :
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 33 :
Solve for $x$:$\dfrac {7}{3x + 4} = \dfrac {7}{6x - 2}$<br/>
Question 34 :
A number is as much greater than $31$ as it is less than $81$. The number is
Question 35 :
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 36 :
If $9 - 7x = 5 - 3x$, then the value of $x$ is
Question 38 :
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 39 :
If $\displaystyle\, m\, =\, \frac{7x\, -\, 3}{2.5}$, $n\, =\, \displaystyle \frac{32\, -\, 2x}{1.6}$ and $m : n = 4 : 3$, find the value of $x$.
Question 40 :
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 42 :
The value of $x$ for which $\cfrac{x-3}{4}--x< \cfrac{x-1}{2}-\cfrac{x-2}{3}$ and $2-x> 2x-8$
Question 43 :
On a car trip Sam drove  $m$  miles, Kara drove twice as many miles as Sam, and Darin drove  $20$  fewer miles than Kara. In terms of  $m$ , how many miles did Darin drive? <br/>
Question 44 :
Solve the following for $x$:<br/>$ \displaystyle \frac{2}{5}\left ( x-1 \right )=1-\frac{3}{5}\left ( 3x-5 \right ) $ 
Question 45 :
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 46 :
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 47 :
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 50 :
If $x(5\, -\, a)\, =\, 10\, -\, x^{2}$ and x = 2, find the value of 'a'.
Question 52 :
If $\sqrt[3]{5j - 7} = -\cfrac{1}{2}$, calculate the value of $j$.<br/>
Question 54 :
Find the value of $x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$
Question 55 :
The ages of Vivek and Sumit are in the ratio of $2 : 3$. After $12$ years, their ages will be in the ratio of $11 : 15$. The age of Sumit is
Question 57 :
At the Wardlaw Hartridge School Christmas program, student tickets cost $ $3$, and adult ticket cost twice as much. If a total of $200$ tickets were sold, and $ $900$ was collected, how many student tickets were sold?
Question 59 :
A two-digit numbers is such that the ten's digit exceeds twice the unit's digit by $2$ and the number obtained by inter-changing the digits is $5$ more than three times the sum of the digits. Find the two digit number.
Question 60 :
The denominator of a rational number is greater than its numerator by $8$. If the numerator is increased by $17$ and the denominator is decreased by $1$, the number obtained is $\displaystyle \frac {3}{2}$. Find the rational number.
Question 61 :
If $\dfrac {1}{4}(10h) - \dfrac {3}{2} (h + 1) = -\dfrac {2}{3} \left (\dfrac {9}{2}h\right ) + 6$, then the value of $h$ is 
Question 62 :
The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages, in years, of the son and the father are, respectively.<br/>
Question 63 :
A steamer going downstream in a river, covers the distance between $2$ towns in $15$ hours. Coming back upstream, it covers this distance in $20$ hours. The speed of the water is $3$ km/hr. Find the distance between two towns.
Question 64 :
If $\dfrac {5}{x} = \dfrac {15}{x + 20}$, what is the value of $\dfrac {x}{5}$?
Question 66 :
$Rs.\,3900.00$ has been distributed among the students (girls/boys) in a class in such a way that the girl student should get $Rs.\,80.00$ and boy should get $Rs.\,30.00$. The number of girl students in the class will be
Question 69 :
Find the value of<br>${ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } +x \right) }^{ 5 }-{ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } -x \right) }^{ 5 }$
