List of top Mathematics Questions asked in Symbiosis National Aptitude Test

A cylindrical pipe of radius $1.4\,\text{m$ has water flowing out at $2.5\,\text{m/s}$ into a cuboidal tank of dimensions $28\,\text{m}\times 11\,\text{m}\times 25\,\text{m}$. The flow completely occupies the pipe’s cross-section. What percentage of the tank is filled up in $8$ min $20$ s?}
The area of a trapezium of height $40\,\text{cm$ is $1600\,\text{cm}^2$. One parallel side is $10\,\text{cm}$ longer than the other side. Find the ratio of the lengths of the parallel sides.}
Some spherical balls of diameter $2.8\,\text{cm$ are dropped into a cylindrical container containing some water and are fully submerged. The diameter of the container is $14\,\text{cm}$. Find how many balls have been dropped in it if the water rises by $11.2\,\text{cm}$.}
Let $u=(\log_2 x)^2-6\log_2 x+12$ where $x$ is a real number. Then the equation $x^u=256$ has:
If $\sec(7q+28^\circ)=\csc(30^\circ-3q)$, then find $q$.
Find the value of $\cos 24^\circ+\cos 55^\circ+\cos 125^\circ+\cos 156^\circ$.
If $x+\dfrac{1{x-1}=5$, then find the value of $\,(x-1)^2+\dfrac{1}{(x-1)^2}\,$?}
In an equilateral triangle $ABC$, if the area of its in-circle is $4\pi\ \text{cm^2$, then find the length of the angle bisector $AD$?}
If \(X = 2 + \sqrt{3}\), then the value of \( \sqrt{X} + \dfrac{1}{\sqrt{X}} \) is:
The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed out of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee of which Mr. Y is a member, is
A candidate is selected for interview for three posts. For the first post there are 5 candidates, for the second there are 8 and for the third there are 7. What are the chances for his getting at least one post?
Balls are arranged in rows to form an equilateral triangle (1 in the first row, 2 in the second, and so on). If 669 more balls are added, all the balls can be arranged in a square and each side of the square contains 8 balls fewer than the number of balls on a side of the triangle. What was the initial number of balls?
In a special racing event, the person who enclosed the maximum area would be the winner and would get ₹ 100 every square metre of area covered by him/her. Jonsson, who successfully completed the race and was the eventual winner, enclosed the area shown in the figure below. What is the prize money won?
\textit{Note: The arc from C to D makes a complete semi-circle. Given: } $AB=3$ m, $BC=10$ m, $CD=BE=2$ m. \begin{center} \includegraphics[width=0.7\textwidth]{01.jpeg} \end{center}
A lawn is in the form of an isosceles triangle. The cost of turfing on it came to ₹ 1{,200 at ₹ 4 per m$^2$. If the base be 40 m long, find the length of each side.}
The probability that a contractor will get a plumbing contract is \(2/3\) and the probability that he will not get an electric contract is \(5/9\). If the probability of getting at least one contract is \(4/5\), what is the probability that he will get both?