Question 1 :
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 4 :
Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.

Question 5 :
Solve for $x$:$\dfrac {7}{3x + 4} = \dfrac {7}{6x - 2}$<br/>

Question 6 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>

Question 8 :
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 9 :
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 10 :
The value of x, y and z respectively on simplifying the equation $2x+ 3y = 0, 3y + 4z= 14&#160; and 2x + 4z = 26$ is

Question 11 :
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 12 :
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 13 :
If $\displaystyle \frac{x^2\, -\, (x\, +\, 1)(x\, +\, 2)}{5x\, +\, 1}\, =\, 6$, then $x$ is equal to

Question 14 :
The solution of $3^{3x - 5} = \dfrac {1}{9^{x}}$ is __________.

Question 15 :
Gopal is elder by $4$ years to Govind. After $16$ years Gopal will be thrice his present age and Govind will be five times of his present age. How old is "Gopal"?

Question 16 :
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 17 :
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 18 :
If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.

Question 20 :
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