List of top Mathematics Questions

In how many ways can six different rings be worn on four fingers of one hand?

What is the next number in the series given below?
53, 48, 50, 50, 47

If two numbers are in the ratio 6:13 and their least common multiple is 312, then the sum of the numbers is

A travels from B to C a distance of 250 miles in 5.5 hours. He returns to B in 4 hours 40 minutes. His average speed is

Father's age is 4 times that of his son. 5 years back, it was 7 times. His age now is

What is the next number in the series given below ?
2, 5, 9, 14, 20

A salesman averages Rs. 240 during a normal 40-hour week. During a sale, his rates are increased by 50%. What is his commission if he puts in 60 hours during the sale ?

The distance of a focus of the ellipse $9x^2+16y^2 =144$ from an end of the minor axis is

$\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{7}+\tan^{-1}\frac{1}{18}+.........+\tan^{-1}\left(\frac{1}{n^2+n+1}\right)+....to\infty$ is equal to

If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively

If one end of a diameter of the ellipse $ 4x^2 + y^2 = 16$ is $(\sqrt{3},2)$, then the other end is

The line $ y = 2x + c$ touches the ellipse $\frac{x^2}{16}+\frac{y^2}{4}=1$ if c is equal to

The locus of the centre of the circle \(x^2 + y^2 + 4x \,\cos \,\theta - 2y\, sin \theta - 10 = 0\) is

If the normal at one end of a latus-rectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ passes through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equation

Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is 3/4 then

The sum of distances of any point on the ellipse $3x^2+4y^2=24$ from its foci is

If $\alpha$ and $\beta$ are $(\alpha < \beta)$ the roots of the equation $x^2+bx+c=0,$ where $c < 0 < b$,the

If $ x^2 + y^2 = 1$, then

A straight line through the origin O meets the parallel lines $4x + 2y = 9 $ and $2x + y + 6 = 0$ at points P and Q respectively. Then, the point O divides the segment PQ in the ratio

Let f : R $\to$ R be any function. Define g : R $\to$ R by g(x) = |f(x)| for all x. Then g is

For the equation $3x^2+px+3=0,p>0,$ if one of the root is square of the other, then p is equal to

If $\overrightarrow{a}, \overrightarrow{b}$ and $\overrightarrow{c}$ are unit coplanar vectors, then the scalar triple product $[2\overrightarrow{a}-\overrightarrow{b}2\overrightarrow{b}-\overrightarrow{c}2\overrightarrow{c}-\overrightarrow{a}]$ is

In a $\triangle ABC, $ 2 ac sin $ \bigg [ \frac{1}{2} (A - B + C ) \bigg ] $ is equal to

For x $ \in $ R, $ lim_{ x \to \infty} \bigg( \frac{x - 3}{ x + 2}\bigg)^x $ is equal to

The incentre of the triangle with vertices $(1, \sqrt{3}), (0,0)$ and $ (2,0) is $