List of top Mathematics Questions

Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
Express as km using decimals.
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m
If $\sec \, \theta - \tan \, \theta = \frac{1}{2}, $ then $\theta$ lies in

A die is thrown 6 times. If 'getting an odd number' is a success, what is the probability of:
 (i) 5 successes ?
 (ii) at least 5 successes ?
 (iii) at most 5 successes ?

Corner points of the feasible region for an LPP are (0, 2) (3, 0) (6, 0), (6, 8) and (0, 5). Let F = 4x + 6y be the objective function. The minimum value of F occurs at

At what points in the interval [0, 2\(\pi\)], does the function sin 2x attain its maximum value?

See the figure and find the ratio of
(a) Number of triangles to the number of circles inside the rectangle.
(b) Number of squares to all the figures inside the rectangle.
(c) Number of circles to all the figures inside the rectangle.
triangles,circles
Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with length 60 m and breadth 45 m. Who covers less distance?
The probability that a non-leap year will have only 52 Fridays is
The domain of $\cos^{-1} \sqrt{2x}$ is
Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
Which of the following relation is NOT a function

Prove \(2sin^{-1}\ \frac {3}{5}=tan^{-1}\ \frac {24}{7}\)

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

The integrating factor of the differential equation \(x\frac{dy}{dx}-y=2x^{2}\) is

Find the areas of the squares whose sides are : (a) 10 cm (b) 14 cm (c) 5 m.
Find the areas of the rectangles whose sides are : (a) 3 cm and 4 cm (b) 12 m and 21 m (c) 2 km and 3 km (d) 2 m and 70 cm

Find the values of \(\cos^{-1}(\cos\frac{7\pi}{6})\) is equal to

Find $x$ from the equation $cosec\left(90^{\circ}+\theta\right)+x\,cos\theta\,cot\left(90^{\circ}+\theta\right)=sin\left(90^{\circ}+\theta\right)$.
If $ {{a}_{1}},{{a}_{2}},.....,{{a}_{n}} $ are in AP with common difference $ d\ne 0, $ then $ (\sin d) $ $ [\sec {{a}_{1}}\sec {{a}_{2}}+ $ $ \sec {{a}_{2}}\sec {{a}_{3}}+...+\sec {{a}_{n-1}}\sec {{a}_{n}}] $ is equal to
$\displaystyle \int^{\sqrt{\pi}/2}_0$ $2x^{3} sin\left(x^{2}\right) dx =$dx is equal to
If one root of the equation $ l{{x}^{2}}+mx+n=0 $ is $ \frac{9}{2} $ $ (l,m $ and n are positive integers) and $ \frac{m}{4n}=\frac{l}{m}, $ then $ \frac{1}{x}+\frac{1}{y} $ is equal to
If the sum to first $n$ terms of the $A.P. 2,4,6,...$ is $240$, then the value of $n$ is
$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$is equal to
Let $A$ and $B$ be two events such that $P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\right)P\left(B\right).$ If $0 < P\left(A\right)< 1$ and $0 < P\left(B\right)< 1$ , then $P\left(A\cup B\right)^{'}=$