Question 1 :
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 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 8 :
A number is as much greater than $31$ as it is less than $81$. The number is
Question 9 :
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 10 :
Solve the linear equation: <br/>$\displaystyle \frac{3t - 2}{4} - \frac{2t + 3}{3} = \frac{2}{3} - t$
Question 11 :
Solve the following equation:<br/>$\displaystyle \frac{2x\, -\,3}{2x\, -\, 1}\, =\, \frac{3x\, -\, 1}{3x\, +\, 5}$
Question 12 :
The sum of the two numbers is $12$ and their product is $35$. What is the sum of the reciprocals of these numbers?
Question 13 :
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 15 :
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 17 :
Given $2x+1 =x-3 $. How many solutions are there on the number line?
Question 19 :
Which of the following is the solution of the equation$\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$ ?<br>
Question 21 :
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 22 :
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 25 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 26 :
If $\sqrt { 1+\dfrac { x }{ 289 } } =1\dfrac { 1 }{ 17 }$ then $x=$
Question 27 :
Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.
Question 28 :
If $9 - 7x = 5 - 3x$, then the value of $x$ is
Question 31 :
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 32 :
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 33 :
If $a= \displaystyle \frac{2x-3}{12}, b= \displaystyle \frac{x-4}{7}, c= \displaystyle \frac{x-2}{8}$ and $a+b= c+\displaystyle 3\frac{3}{4}$, find $x$.
Question 34 :
Find the value of $x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$
Question 35 :
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 36 :
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 38 :
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 39 :
If$x + \dfrac{1}{x} = 3$ and$x - \dfrac{1}{x} = \dfrac{1}{3}$ then
Question 40 :
The ratio of boys to girls in a school is $5:2$. The number of boys is more by $450$ than that of girls. How many students are there in that school?<br>
Question 41 :
The prices of table and chair are in the ratio of $25 : 6$. If table costs Rs. $950$ more than chair, then cost of two chairs is
Question 42 :
What is the solution of $\displaystyle \frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$?
Question 44 :
Solve for x : $\dfrac{(x + 2)(2x - 3) - 2x^2 + 6}{x - 5} = 2.$
Question 45 :
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 48 :
If $n+2=10  n-1$, then the value of $n$ is equal to 
Question 49 :
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 50 :
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 51 :
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 52 :
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 53 :
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 54 :
The number of solution of $ \left| \left[ x \right] -2x \right| =4$, where $[x]$ denotes the greatest integer less than $x$ is<br/>
Question 55 :
$R = \dfrac{F}{N+F}$<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 56 :
If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.
