Question 2 :
If $\displaystyle \left ( x-2 \right )\left ( x+3 \right )=x^{2}-4 $, the value of $x$ is:
Question 3 :
The manufacturer of a certain item can sell all he can produce at the selling price of $Rs. 60$ each. It costs him $Rs. 40$ in materials and labour to produce each item andhe has overhead expenses of $Rs. 3000$ per week in order to operate the plant. Thenumber of units he should produce and sell in order to make a profit of at least $Rs\,1000$ per week, is :
Question 5 :
Solve the following for $x$:<br/>$ \displaystyle \frac{2}{5}\left ( x-1 \right )=1-\frac{3}{5}\left ( 3x-5 \right ) $ 
Question 6 :
Solve the following equations and check your results: If $5x+9 = 5+3x$, then $x = $
Question 8 :
If $9 - 7x = 5 - 3x$, then the value of $x$ is
Question 9 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 12 :
Given that $-6x=64-2\left( -x \right) $, calculate the value of $x$.
Question 16 :
The value of x, y and z respectively on simplifying the equation $2x+ 3y = 0, 3y + 4z= 14  and 2x + 4z = 26$ is
Question 17 :
If $\sqrt {x-1}-\sqrt {x + 1} + 1= 0$, then $4x$ equals
Question 18 :
Given $2x+1 =x-3 $. How many solutions are there on the number line?
Question 21 :
Solve the following equation: $(x\, -\, 2)^{2}\, =\, (x\, +\, 1)\, (x\, -\, 1)$
Question 23 :
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 24 :
Solve the following equations and check your results. If $x = \cfrac{4}{5}\left ( x+10 \right)$, then $x = $
Question 26 :
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 27 :
Solve the linear equation:$\cfrac { 1 }{ x+1 } =\cfrac { 2 }{ x+10 } $<br/>
Question 28 :
Which of the following is the solution of the equation$\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$ ?<br>
Question 30 :
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 31 :
A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds.Find the length of the train in metres.
Question 32 :
If $2x - (3x - 4) = 3x - 5$, then $x$ equals
Question 33 :
A number is as much greater than $31$ as it is less than $81$. The number is
Question 34 :
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 35 :
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 37 :
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 38 :
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 39 :
Solve for $x$:$\dfrac {7}{3x + 4} = \dfrac {7}{6x - 2}$<br/>
Question 40 :
Solve the following linear equations. If $\cfrac{3t-2}{4}-\cfrac{2t+3}{3} = \cfrac{2}{3}-t$, then $t  $ is equal to<br/>
Question 45 :
If $\sqrt{10+ \sqrt{25+ \sqrt{x+ \sqrt{154+ \sqrt{225}}}}} = 4$ find the value of $x$
Question 46 :
Solve the linear equation: <br/>$\displaystyle \frac{3t - 2}{4} - \frac{2t + 3}{3} = \frac{2}{3} - t$
Question 47 :
If $4x - 1 = 3x + 8$ then value of $x $ is equal to
Question 48 :
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 49 :
If $\displaystyle \frac{3x + 5}{2x + 7} = 4$ then x is
Question 51 :
After receiving two successive raises Hrash's salary became $\dfrac {15}{8}$ times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as much as high (in percent) as the first ?
Question 52 :
The numerator of a fraction is $5$ less than the denominator. If the numerator is increased by $2$, the fraction reduces to $\displaystyle \frac{2}{3}$. Find the original fraction.
Question 53 :
If $3^{2x + 2} = 27^{2}$, find the value of $x$.
Question 54 :
If $\displaystyle \sqrt{\left ( x-1 \right )\left ( y+2 \right )}=7$, $x$ and $y$ being positive whole numbers, then the values of $x$ and $y$ are, respectively
Question 56 :
If $\dfrac {2}{3x + 12} = \dfrac {2}{3}$, then the value of $x + 4 $ is
Question 57 :
If $x=\displaystyle\frac{1}{\displaystyle 2-\frac{1}{\displaystyle 2-\frac{1}{2-x}}}, (x\neq 2)$, then the value of x is ________?
Question 59 :
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 61 :
Solve: $\displaystyle \frac{1}{3}\left ( 7-4x \right )-\frac{1}{4}\left ( 11-5x \right )+1=x-\frac{1}{2}\left ( 3x-7 \right )$
Question 65 :
A triangular number which is the sum of the square of two consecutive odd numbers is?
Question 66 :
A number when added to its half gives $36$. Find the number.<br/>
Question 67 :
Solve the linear equation:$\displaystyle \frac{5x + 1}{12} - 2 = \frac{3x - 1}{9}$
Question 68 :
Two candles A and B of the same height are lighted at the same instant. A is consumed in $4$ h while B in $3$ h. Assume each candle burns at a constant rate. In how many hours after. being lighted was A twice the height of B?
Question 69 :
Reduce the following linear equation: $6t - 1 = t - 11$<br/>
Question 71 :
The square roots of Radhas and Krishs ages have a sum of $7$ and a difference of $1$. If Radha is older than Krish, how old is Radha?<br/>
Question 72 :
A person was asked to state his age in years. His reply was "Take my age three years hence multiply it by $3$ and then subtract three times my age $3$ years ago and you will know how old I am." What was the age of the person? 
Question 75 :
When $24$ is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that number.
Question 76 :
If $2^{x} + 2^{x + 2} = 40$, then the value of $x$ is
Question 80 :
When a number $x$ is subtracted from $36$ and the difference is divided by $x$, the result is $2$. Find the value of $x$.
Question 81 :
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 83 :
Present age of grandfather is ten times that of his granddaughter. He is also $54$ years older than her. Find their present ages.
Question 84 :
If $\dfrac {5}{x} = \dfrac {15}{x + 20}$, what is the value of $\dfrac {x}{5}$?
Question 85 :
The sum of the digits of a two-digit number is $15$. If the number formed by reversing the digits is less than the original number by $27$, find the original number.
Question 86 :
Determine the linear function whose graph is a line that contains the points (7, 4) and (1, -3)<br/>
Question 87 :
FInd the value of $h$ in the equation: $ \dfrac { 3\left( h+2 \right) -4 }{ 6 } =\dfrac { h\left( 7\times 2-5 \right)  }{ 2 } $.<br/>
Question 88 :
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 90 :
Find a number such that when $10$ is subtracted from twice the number, the result is $14$ less than thrice the number.
Question 92 :
Find the value of $\dfrac {4}{y} + 4$ given that $\dfrac {4}{y} + 4 = \dfrac {20}{y} + 20$
Question 93 :
Solve for x : $\dfrac{(x + 2)(2x - 3) - 2x^2 + 6}{x - 5} = 2.$
Question 94 :
If 15 cups of tea and 17 cups of coffee together cost Rs 241, and 25 cups of tea and 13 cups of coffee together cost Rs 279, find the price of each per cup.
Question 95 :
If $\displaystyle \frac{\displaystyle \frac{x}{3} - \frac{2}{5}}{\displaystyle \frac{3}{4} - 2x} = \frac{16}{15}$, then value of $x$ is equal to
Question 97 :
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been.<br>
Question 98 :
Four times a certain two digit number is seven times the number obtained on interchanging its digits. If the difference between the digit is $4$, find the number.
Question 99 :
The area of square $ABCD$ is three-fourths the area of parallelogram $EFGH$. The area of parallelogram $EFGH$ is one-third the area of trapezoid $IJKL$. If square $ABCD$ has an area of $125$ square feet, calculate the area of trapezoid $IJKL$, in square feet.
Question 100 :
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 101 :
A Gym sells two types of memberships. One packages costs $ $325$ for one year of membership with an unlimited number of visits. The second package has a $ $125$ enrolment fee, includes five free visits, and costs an additional $ $8$ per visit after first five. How many visits would a person need to use for each type of membership to cost the same amount over a one-year period?
Question 103 :
State true or false:The root of the equation $\dfrac{y}{2}+6 = y$ is $\dfrac{1}{\sqrt{2}}$.<br/>
Question 104 :
If $\left| x+4 \right| +\left| x-4 \right| =2\left| x \right| $ and $\left| x+1 \right| +\left| 5-x \right| =6$, then x belongs to:
Question 105 :
If $n+2=10  n-1$, then the value of $n$ is equal to 
Question 106 :
$Rs.\,3900.00$ 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 108 :
Sameera covers a distance of $85.075$ km. She travelled $32.125$ km by bus, $45.5$ km by train and rest by rickshaw. How much distance did she travel by rickshaw?
Question 109 :
Find the value of<br>${ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } +x \right) }^{ 5 }-{ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } -x \right) }^{ 5 }$
Question 110 :
The number of solutions (x, y, z) to the system of equations $x+2y+4z=9, 4yz+2xz+xy=13, xyz=13$ such that at least two of x, y, z are integers is
Question 111 :
If Leah is $6$ years older than Sue and John is $5$ years older than Leah and the total of their ages is $41$. Then how old is Sue?
Question 113 :
The values of a so that the equation $\Vert x - 2\vert - 1\vert = a \vert x \vert$ does not contain any solution lying in the interval {2, 3} are
Question 114 :
The four consecutive numbers add up to $74$. What are these integers?
Question 115 :
A man sold a bicycle for an amount which was greater than $400$ by half the price he bought it for, and made a profit of Rs. $300$. How much did he buy the bicycle for?
Question 116 :
The budget for the annual day function of a school was Rs. $60,000$, out of which Rs. $14,500$ was paid to the tent house, Rs. $10,400$ to the band party and Rs. $5,000$ for refreshments. How much money was left over after meeting the expenses?
Question 117 :
Two numbers are in the ratio $\displaystyle 1\frac {1}{2} : 2\frac{2}{3}$.When each one of these is increased by $15$, their ratio becomes $\displaystyle 1\frac{1}{2} : 2\frac{1}{2}$. The larger of the numbers is
Question 118 :
If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.
Question 119 :
$R = \dfrac{F}{N+F}$<br/>A website uses the formula above to calculate a sellers rating, $R$, based on the number of favorable reviews $F$, and unfavorable reviews $N$. Which of the following expresses the number of favorable reviews in terms of the other variables?<br/>
Question 122 :
Half of a herd of buffaloes are going in to the field and three fourths of the remaining are playing nearby. The rest $9$ are drinking water from pond. Find total number of buffaloes in the herd.
Question 123 :
The number of solution of $ \left| \left[ x \right] -2x \right| =4$, where $[x]$ denotes the greatest integer less than $x$ is<br/>
Question 124 :
The sum of three numbers is $855$. One of the numbers, $x$, is $50$% more than the sum of the other two numbers. What is the value of $x$ ?
