List of top Mathematics Questions

A student read common difference of an A.P. as - 3 instead of 3 and obtained the sum of first 10 terms as - 30. Then the actual sum of first 10 terms is equal to

$\frac{x + 4}{x -3} < 2 $ is satisfied when $x$ satisfies

Insert commas suitably and write the names according to International System of Numeration : 
(a) 78921092 
(b) 7452283 
(c) 99985102 
(d) 48049831

If $x\,sin \,\frac{\pi}{4}cos^{2}\, \frac{\pi}{3}=\frac{tan^{2}\left(\pi/3\right)cosec\left(\pi/6\right)}{sec\left(\pi/4\right)cot^{2}\left(\pi/6\right)}$, then $x=$

99th term of the series $2 + 7 + 14 + 23 + 34 + ..........$.is

1.1! + 2.2! + 3.3! +.....+ 10.10! =

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: 
(i) the length of the arc (ii) area of the sector formed by the arc (iii) area of the segment formed by the corresponding chord

Region represented by the in equation system $x+y\le 3,y\le 6$ and $x\ge 0,y\ge 0$ is:

A box contains $100$ round discs, $50$ square - shaped discs and $30$ triangular discs. All the discs are made up of iron and have an equal probability of getting attracted by a magnet. If a magnet which can attract only one disc in one pass and the disc is passed over them twice. What is the probability that both times a triangular disc is attracted? The disc attracted in one pass does not fall into box again, however each time a square shaped disc is kept into the box.

Which of the following sets is a finite set?

Find the angle measure between the hands of the clock in each figure:

Determine if the following are in proportion.
(a) 15, 45, 40, 120
(b) 33, 121, 9,96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100

Draw the number line and represent the following rational numbers on it:
(i) \(\frac{3}{4}\)(ii) \(\frac{-5}{8}\) (iii) \(\frac{-7}{4}\) (iv) \(\frac{7}{8}\)

Examine the continuity of the function f(x) = 2x²-1 at x = 3.

Can this be a net for a die? Explain your answer.

Write the smallest 5-digit number and express it in the form of its prime factors.

The integrating factor of the differential equation $2y\frac{dx}{dy}+x=5y^2$ is, $(y\ne 0)$:

Find the value of $\sqrt{(5+12i)}$, where $i=\sqrt{-1}$.

Maximam value of $:Z=10x+25$ y Subject to : $x\le 3,y\le 3,x+y\le 5,x\ge 0,y\ge 0$ at:

Maximize $Z=4x+9y$, subject to the constralnts $x=0$, y $=0,x+5y\le 200,2x+3y\le 134$.

The differential equation of the family of curves $y=c_1{e}^x+c_2{e}^{-x}$ is:

The following table gives the weights of one hundred persons. Copute the coefficient of dispersion by the method of limits.Class-interval$40-45$$45-50$$50-55$$55-60$$60-65$$65-70$$70-75$$75-80$$80-85$$85-90$No. of persons$4$$13$$8$$14$$9$$16$$17$$9$$8$$2$