Question 2 :
If $\sqrt{10+ \sqrt{25+ \sqrt{x+ \sqrt{154+ \sqrt{225}}}}} = 4$ find the value of $x$
Question 4 :
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 5 :
Solve for $x$:-<br/>$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$
Question 6 :
Solve the following equation: $(x\, -\, 2)^{2}\, =\, (x\, +\, 1)\, (x\, -\, 1)$
Question 7 :
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 9 :
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 11 :
If $x$ and $y$ are the two digits of the number $653xy$ such that this number is divisible by $80$, then $x+y=$?
Question 12 :
A candidate should score $45\%$ marks of the total marks to pass the examination. He gets $520$ marks and fails by $20$ marks. The total marks in the examination are
Question 13 :
Which of the following is the solution of the equation$\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$ ?<br>
Question 14 :
Solve the following linear equations. If $\cfrac{x-5}{3} = \cfrac{x-3}{5}$, then $x  $is equal to<br/>
Question 16 :
If $\sqrt {x-1}-\sqrt {x + 1} + 1= 0$, then $4x$ equals
Question 21 :
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 22 :
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 24 :
A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days.At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days.What is the number of men originally employed?<span id="_wysihtml5-undo" class="_wysihtml5-temp">
Question 25 :
The value of x, y and z respectively on simplifying the equation $2x+ 3y = 0, 3y + 4z= 14  and 2x + 4z = 26$ is
Question 26 :
IF the lines$ \displaystyle y=m_{1}x+c $and $y=m_{2}x+c_{2} $ are parallel , then
Question 27 :
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 28 :
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 29 :
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 31 :
If $\sqrt {x-1}- \sqrt {x+1}+1 =0$, then $4x$ is equal to ____. 
Question 33 :
Seamus has $3$ times as many marbles as Ronit, and Taj has $7$ times as many marbles as Ronit. If Seamus has $s$ marbles then, in terms of $s$, how many marbles do Seamus, Ronit and Taj have together?
Question 34 :
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 35 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 37 :
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 38 :
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 39 :
The middle digit of a number between 100 and 1000 is zero, and the sum of the other digits is 11. If the digits are reversed, the number so formed exceeds the original number by 495. Find it
Question 40 :
The total cost of three prizes is Rs. $2550$. If the value of second prize is $\left(\displaystyle\frac{3}{4}\right)^{th}$ of the first prize and the value of $3rd$ prize is $\displaystyle\frac{1}{2}$ of the second prize, then the value of the first prize is ___________.
Question 45 :
Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.
Question 46 :
If $a\neq 0$ and $\dfrac{5}{x}=\dfrac{5+a}{x+a}$, what is the value of $x$?<br/>
Question 47 :
If $\sqrt { 1+\dfrac { x }{ 289 } } =1\dfrac { 1 }{ 17 }$ then $x=$
Question 49 :
If one-third of a two digit number exceeds its one-fourth by $8$, then what is the sum of the digits of the number?
Question 50 :
If $x(5\, -\, a)\, =\, 10\, -\, x^{2}$ and x = 2, find the value of 'a'.
Question 51 :
One of the requirements for becoming a court reporter is the ability to type  $225$  words per minute. Donald can currently type  $180$  words per minute, and believes that with practice he can increase his typing speed by  $5$  words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type  $m $ months from now?
Question 52 :
I have a total of Rs. $300$ in coins of denomination Re. $1$, Rs. $2$ and Rs. $5$. The number of Rs. $2$ coins is $3$ times the number of Rs. $5$ coins. The total number of coins is $160$. How many coins of each denomination are with me?
Question 54 :
What is the solution of $\displaystyle \frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$?
Question 55 :
Meera bought packs of trading cards that contain $10$ cards each. She gave away $7$ cards.<br>$x=$ Number of packs oftrading cards<br>Which expression shows the number of cards left with Meera?
Question 56 :
If you multiply a number by $3$ and then add $40$, the result is the same as if you first add $17$ and then multiply by $2$. What is the result if you subtract $9$ from the number and then multiply by $4$?
Question 57 :
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 58 :
If $(2ax + 1) (3x + 1) = 6a (x + 1)$ and $x = 1$, find the value of $a$.
Question 59 :
A number when added to its half gives $36$. Find the number.<br/>
Question 60 :
Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?<br/>
Question 61 :
Find the Solution  : $x - cy - bz = 0 $                                 $ cx - y +az = 0 $                                 $bx+ ay -z = 0 $
Question 63 :
If $\displaystyle \frac{x^2\, -\, (x\, +\, 1)(x\, +\, 2)}{5x\, +\, 1}\, =\, 6$, then $x$ is equal to
Question 64 :
The age of a man is $3$ times that of his son. $15$ years ago, the man was $9$ times as old as his son. What will be the age of man after $15$ years?
Question 65 :
A thief is running at a speed of $6$ km per hour and a police constable is chasing him with a speed of $8$ km per hour. If originally, the distance between the thief and the constable is $500$ m. After what distance, will the constable catch the thief ?
Question 66 :
A man covers a distance of $25$ km in an hour, partly on foot at the rate of $4$ km/hr and partly on motorcycle at $32$ km/hr. Find the distance travelled on the motorcycle.
Question 68 :
A positive number is $5$ times another number. If $21$ is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
Question 70 :
If $\dfrac {2}{3x + 12} = \dfrac {2}{3}$, then the value of $x + 4 $ is
Question 71 :
Three consecutive integers are such that four times the least integer is three times the greatest. Find the greatest of these three integers.
Question 72 :
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 73 :
Solve for x : $\dfrac{(x + 2)(2x - 3) - 2x^2 + 6}{x - 5} = 2.$
Question 75 :
Find the value of $a$, if $x = 0.5$ is a solution of equation $ax^{2}\, +\, (a\, -\, 1)\,<br/>x\, +\, 3\, =\, a$.
Question 76 :
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 77 :
If $\displaystyle \frac{a}{3y}+\frac{3b}{x}=7$ and $\displaystyle a+1=2b+1=x=5,$ find the value of $'y'.$<br><br><br>
Question 78 :
If  $\sqrt{x+16} = x-4$, then the value of extraneous solution of the above equation is:
Question 79 :
Divide $900$ into two parts such that $60\%$ of one part is equal to $30\%$ of the other.
Question 80 :
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 81 :
Solve: $3+\dfrac { x }{ 4 } =\dfrac { 1 }{ 2 } \left( 4-\dfrac { x }{ 3 } \right) -\dfrac { 5 }{ 6 } +\dfrac { 1 }{ 3 } \left( 11-\dfrac { x }{ 2 } \right) $
Question 83 :
If $3^{n - 3} + 3^{2} = 18$, calculate the value of $n$.
Question 86 :
When an iron rod is cut into equal pieces of $30$ cm each, a piece of $4$ cm is left out. When cut into equal pieces of $29$ cm, a piece of $13$ cm is left out. The minimum length of rod is
Question 87 :
Let $a, b$ and $c$ be non-zero numbers such that $c$ is $24$ greater than $b$ and $b$ is $24$ greater than $a$. If $\dfrac {c}{a} = 3$, then find the value of $b$.
Question 88 :
The present age of a father is equal to the sum of the ages of  his $5$ children. $12$ years hence, the sum of the ages of his children will be twice the age of their father. Find the present age of the father.
Question 90 :
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, $10$ men leave the bus and five women enter. Now, number of men and women is equal. How many passengers entered the bus in the beginning?
Question 94 :
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 96 :
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 97 :
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 98 :
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 99 :
If $2^{x} + 2^{x + 2} = 40$, then the value of $x$ is
Question 100 :
A brand new car costs $ \$35,000$. For the first $50,000$ miles, it will depreciate approximately $\$0.15$ per mile driven. For every mile after that, it will depreciate by $\$0.10$ per mile driven until the car reaches its scrap value. Find the net worth of the car after it is driven $92,000$ miles.
Question 102 :
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 $x$ ?
Question 104 :
If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.
Question 105 :
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 106 :
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 109 :
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 110 :
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 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 112 :
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 113 :
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 114 :
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 115 :
State true or false:The root of the equation $\dfrac{y}{2}+6 = y$ is $\dfrac{1}{\sqrt{2}}$.<br/>
