List of top Mathematics Questions

Investigate: 
In the given figure, the angle measure 30º. Look at the same figure through a magnifying glass. Does the angle become larger? Does the size of the angle change?

The resultant of two vectors of magnitudes \(2A\) and \(\sqrt2A\) acting at an angle θ is \(\sqrt10 A\). The correct value of \(θ\) is?

What is the period of the function sin 4x + tan 2x?

Show that the function given by f(x)=\(\frac{logx}{x}\) has maximum at x=e

If $X=\{1,2,3, \ldots, 10\}$ and $A=\{1,2,3,4,5\}$. Then, the number of subsets $B$ of $X$ such that $A-B=\{4\}$ is

A committee of 11 members is to be formed from 8 males and 5 females. Let m denotes the number of ways of selecting committee having atleast 6 males and n denotes the number of ways of selecting atleast 3 females then

Which of the following is correct for any two complex numbers $z_{1}$ and $z_{2}$ ?

Which of the following is not a statement?

Which of the following is different from the others?

Check whether \(6n\) can end with the digit \(0\) for any natural number \(n\).

The distance of the origin from the plane through the points $(1, 1, 0)$, $(1, 2, 1)$ and $(-2, 2, -1)$ is

The degree of the differential equation satisfying the relation$\sqrt{1+x^2}+\sqrt{1+y^2}=\lambda(x\sqrt{1+y^2}-y\sqrt{1+x^2}) is$

A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A¹³ is 3ⁿ then n equal to:

The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

For the differential equations , find a particular solution satisfying the given condition:\((x^3+x^2+x+1)\frac{dy}{dx}=2x^2+x;y=1\) when \(x=0\)

A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per m², what will be the cost of painting all these cones? (Use \(\pi \) = 3.14 and take 1.04 = 1.02)

Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 

1. 81 
2. 128 
3.  135 
4.  192 
5.  704

Measure and classify each angle:

Angle	Measure	Type
\(∠AOB\)
\(∠AOC\)
\(∠BOC\)
\(∠DOC \)
\(∠DOA\)
\(∠DOB\)

Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000

What other name can you give to the line of symmetry of 

1.  an isosceles triangle? 
2.  a circle?

A tower stands at the center of a circular park. $A$ and $B$ are two points on the boundary of the park such that $AB=a$ subtends an angle ${60}^{\circ }$ of at the foot of the tower and the angle of elevation of the top of the tower from $A$ or $B$ is ${30}^{\circ }$. The height of the tower is