List of top Mathematics Questions

If $a, b, c$ are distinct +ve real numbers and $a^2 + b^2 + c^2 = 1$ then $ab + bc + ca$ is
$\displaystyle\lim_{x \to 0} \frac{ \sqrt{1 -\cos \, 2x}}{\sqrt{2} x}$ is
A biased coin with probability p, $0
Let f(x) =$\int_1^x \sqrt{2-t^2}dt $ Then, the real roots of the equation $x^2-f'(x)=0$ are
If $a_1,a_2,...,a_n$ are positive real numbers whose product is a fixed number c, then the minimum value of $ a_1 + a_2 +...+ a_{n-1}+2a_n$ is
If $0 < \alpha
Let $\omega=-\frac{1}{2}+i\frac{\sqrt 3}{2},$ then value of the determinant $\begin {vmatrix} 1 & 1& 1 \\ 1 & -1-\omega^2 & \omega^2 \\ 1 & \omega^2 & \omega \\ \end {vmatrix} is $
The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is
Let $a, b, c$ be in an AP and $a^2,b^2,c^2$ be in GP, if $a < b < c$ and $a+b+c= \frac{3}{2}$, then the value of a is
The integral $ \int\limits^{1/2}_{-1/2} \bigg ([x] + \log \bigg ( \frac{1+ x}{1 - x} \bigg ) \bigg ) \, dx $ equals
The distance between the tops of two trees 20 m and 28 m high is 17 m. The horizontal distance between the two trees is
\(\frac{{3}\pi}{5}\) radians is equal to
If Sin A : Cos A = 4 : 7 , then the value of \(\frac{(7sinA−3cosA)}{(7sinA+2cosA)}\) is 
A tree breaks due to storm and the broken part bends so that the top of the tree first touches the ground, making an angle of 30 with the horizontal. The distance from the foot of the tree to the point where the top touches the ground is 10 m. The height of the tree is
Probability of four sons to a couple is
The sides of triangle are 6 cm,11 cm and 15 cm.The radius of its incircle is
The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Sunder purchased an office bag with a price tag of Rs 600 in a sale where 25%discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving usual 25%discount. What wasthe final amount paid by Sunder?
lf 10 years are subtracted from the present age of Ram and the remainderdivided by 14, then you would get the preset age of his grandson Shyam. If Shyam is 9 years younger to Sunder whose age is 14, then whatis the present age of Ram?
Acar owner buyspetrol at Rs 7.50, Rs 8.00 and Rs 8.50 per litre for three successive years. What approximately is the average costper litre of petrol if he spends Rs 4000 each year?
Shyam had 85 currency notes in all, some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amountof all these currency notes was Rs 5000. How much amountin rupeesdid he have in the denomination of Rs 50?
The diameter of a cycle wheel is 70 cm. A cyclist takes 30 hours to reach a destination at the speed of 22 km/hr. How many revolutions will the wheel make during this journey?
A boat goes 24 km upstream and 28 km dowstream in 6 hours. If it goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes, find the speed of the stream.
Four different objects 1, 2, 3, 4 are distributed at random in four places marked 1, 2, 3, 4. What is the probability that none of the objects occupy the place corresponding to its number ?
Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less. If 4 students are less in a row, there would be 4 more rows. Find the numberof students in the class.