List of top Mathematics Questions

Shyam's rich uncle gave him Rs 100 on his first birthday. On each birthday after that he doubled his previous gift. By the day after Shyam's eighth birthday, what was the total amount that his uncle had given him?

Three friends Anita, Bindu and Champa divide Rs 1,105 amongst them in such a way that if Rs 10, Rs 20 and Rs 15 are removed from the sums that Anita, Bindu and Champa received respectively, then the share of the sums that they got will be in the ratio of 11:18:24. How much did Champa receive?

A man wants to sell his scooter. There are two offers, one at Rs 12,000 cash and the other at a credit or Rs 12,880 to be paid after 8 months, money being at annum. Which is the better offer?

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 Rs 5,100 more. The sum is

The population of a colony was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?

The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs 25 and Rs 20 respectively. The sum is

Namrata wants to visit four cities A, B, C and D on an official trip. The probability that she visits A just before B is

A lot of 12 bulbs contains 4 defective bulbs. Three bulbs are drawn at random from the lot, one after the other. The probability that all three are non-defective is

A person spends 40\(\%\) of his salary on his educational expenses. He spends 60\(\%\) of it in purchasing books and one-half of the remaining in purchasing stationery items. If he saves Rs 160 every month, which, is one-fourth of the balance after spending over books and stationery items, what is his monthly salary?

The real part of $log \,log\, i$ is

Two circles centered at $(2, 3) $ and $(5, 6)$ intersect each other. If the radii are equal, the equation of the common chord is ______

For the curve $4x^5 = 5y^4$, the ratio of the cube of the subtangent at a point on the curve to the square of the subnormal at the same point is

The value of the integral $\int\limits^{\pi/2}_{0}\sin^{5}\, x\,dx$ is

Solution of the differential equation $xdy - ydx = 0$ represents a

$\displaystyle\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to

The vector equation of the straight line $ 6x-8=2y-7=3z $ is

The unit normal vector to the plane $ 3x+2y-2z=8\sqrt{17} $ is

if the straight lines $ 2x+5ay-1=0 $ and $ 3x+7y+7=0 $ are mutually perpendicular, then value of $a$ is

If $A$ is a square matrix of order $3$ and if $ \det \,(A)=3, $ then $ \det \,[adj\,\,\{adj\,(adj\,A)\}] $ is equal to

If $ {{\tan }^{-1}}\,(1-x),\,\,{{\tan }^{-1}}\,(x) $ and $ {{\tan }^{-1}}\,(1+x) $ are in $A.P.$, then the value of $ {{x}^{3}}+{{x}^{2}} $ is equal to

$ \int_{0}^{\pi /2}{\frac{{{\sin }^{100}}x}{{{\sin }^{100}}x+{{\cos }^{100}}x}\,\,dx} $ is equal to

If $A$ and $B$ are square matrices of order $3$ such that $ det\text{ }A=1 $ and $ det\text{ }B=-1 $ then $ det\text{ (-10}\,\text{AB)} $ is equal to

Four arithmetic means between $-10$ and $25$ are inserted. Then the $5^{th}$ term in the series is

If $A$ and $B$ are square matrices of order 3 such that $det A = 1$ and $ det B = -1$, then $det (- 10 AB) = ? $

If $\begin{vmatrix} a_1 &b_1 &c_1 \\[0.3em] a_2 &b_2 &c_2 \\[0.3em] a_ 3&b_3 &c_3 \end{vmatrix}=\,\,\,\,3,\, $ then $ \begin{vmatrix} 3a_1 &9b_1 &3c_1 \\[0.3em] a_2 &3b_2 &c_2 \\[0.3em] 3a_ 3&9b_3 &3c_3 \end{vmatrix}=$,