List of top Mathematics Questions

The average sale of a car dealership was 15 cars per week. After a promotional scheme the average rale increased to 21 cars per week. The percentage increase in the sale of cars was
A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk did a mistake and interchanged the number of black and brown pairs. This increased the bill by 50\(\%\). The ratio of the number of black and brown pairs of socks in the original order was
A trader owes a merchant Rs 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest is \(12\%\) per annum, how much cash should he pay?
A toy is in the shape of a hemisphere surmounted by a cone. If radius of base of the cone is 3 cm and its height is 4 cm, the total surface area of the toy is
A cylindrical container of height 14 m and base diameter 12 m contains oil. This oil is to be transferred to one cylindrical can, one conical can and a spherical can. The base radius of all the containers is same. The height of the conical can is 6 m. While pouring some oil is dropped and hence only \(\frac{3}{4}^{th}\) of cylindrical can could be filled. How much oil is dropped?
The length of a rectangle is increased to \(\frac{3}{2} \) times of its length and breadth is reduced to \(\frac{1}{3}rd\) of its breadth. What is the change in area?
The ratio of the volume of a cube to that of the sphere which can fit inside the cube is
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the curved surface area of the remainder is \(\frac{8}{9}^{th}\) of the curved surface of the whole cone, the ratio of the line segments into which the cone's altitude is divided by the plane is given by
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.
An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are \(60\degree\) and \(45\degree\) respectively. The vertical distance between the two aeroplanes is
An aeroplane flying horizontally 1 km above the ground is observed at an elevation of \(60\degree\). If after 10 seconds, the elevation be \(30\degree\), the uniform speed of the aeroplane is
The number of triangles formed by the 11 points, out of which 5 are collinear in a plane is
A plane left 30 min later than its scheduled time to reach its destination 1500 km away. In order to reach in time it increases its speed by 250 km/h. What is its original speed
The real part of $log \,log\, i$ is
Two circles centered at $(2, 3) $ and $(5, 6)$ intersect each other. If the radii are equal, the equation of the common chord is ______
For the curve $4x^5 = 5y^4$, the ratio of the cube of the subtangent at a point on the curve to the square of the subnormal at the same point is
The value of the integral $\int\limits^{\pi/2}_{0}\sin^{5}\, x\,dx$ is
Solution of the differential equation $xdy - ydx = 0$ represents a
$\displaystyle\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to
The vector equation of the straight line $ 6x-8=2y-7=3z $ is
if the straight lines $ 2x+5ay-1=0 $ and $ 3x+7y+7=0 $ are mutually perpendicular, then value of $a$ is
The unit normal vector to the plane $ 3x+2y-2z=8\sqrt{17} $ is
If $A$ is a square matrix of order $3$ and if $ \det \,(A)=3, $ then $ \det \,[adj\,\,\{adj\,(adj\,A)\}] $ is equal to
If $ {{\tan }^{-1}}\,(1-x),\,\,{{\tan }^{-1}}\,(x) $ and $ {{\tan }^{-1}}\,(1+x) $ are in $A.P.$, then the value of $ {{x}^{3}}+{{x}^{2}} $ is equal to
$ \int_{0}^{\pi /2}{\frac{{{\sin }^{100}}x}{{{\sin }^{100}}x+{{\cos }^{100}}x}\,\,dx} $ is equal to