List of top Mathematics Questions

The mean of 100 observations is 49. By an error 60, 70, 80 are registered as 40, 20, 50 respectively. The correct mean is
In a graphical representation of a frequency distribution, if the distance between mode and mean is k times the distance between median and mean, then the value of k is
If E and E are the events of occurrence and non-occurrence of a random experiment respectively and P(E) = 0-05, then P(E) =
If a die is thrown once, then the probability of getting a prime number is
In a simultaneous toss of two coins, the probability of getting at least one head is
Two friends are born in the year 2000. The probability that they have the same birthday
The angle of elevation of the top of a tower standing on a horizontal plane from a point A is a. After walking a distance d towards the foot of the tower, the angle of elevation is found to be B. Then the height of the tower is
What is the angle of elevation of the Sun, if the length of the shadow of a tower is \(\frac{1}{\sqrt3}\) the height of the tower? 
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Assuming that there is no slack in the string, the length of the string is
\(\frac{sinθ}{1+cosθ}=\)
If x=a sec o and y-b tan o, then the value of b2x2….a2y2 is
If tan(A-B)=\(\frac{1}{\sqrt3}\) and sin A= \(\frac{1}{\sqrt2}\),  then the value of B is 
\(\frac{2\,tan\,30^0}{1-tan^2\,30^0}=\)
The value of is \(\frac{tan 65°}{ cot 25°}\) is
The value of cos1°cos 2°…… cos180° is
cos(90°-θ) sin (90°-θ)=
The total surface area of a cone with slant height 21 m and diameter of its base 24 m is
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how many litres of soup the hospital management has to prepare daily to serve 100 patients?
If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is
If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is
Shiva invested a certain sum of money in a simple interest bond whose value grew to ₹300 at the end of 3 years and to ₹400 at the end of another 5 years. What was the rate of interest at which he invested his sum?
A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched ₹5,100 more. The sum is _______.
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If tap A is open all the time and tap B and tap C are open for one hour each alternately, the tank will be filled in
Two times a two-digit number is 9 times the number obtained by reversing the digits and the sum of the digits is 9. The number is _____.
In measuring the sides of a rectangular plot, one side is taken 5% in excess and the other 6% in deficit. The error percent in area calculated, of the plot, is ______.