List of top Mathematics Questions

Find the coordinates of the point where the line joining the points $(2, -3, 1)$ and $(3, - 4, - 5)$ cuts the plane $2x + y + z = 7$.
If $a.b = a.c$ and $a \times b = a \times c$, then correct statement is

In a special racing event, the person who enclosed the maximum area would be the winner and would get ₹ 100 every square metre of area covered by him/her. Jonsson, who successfully completed the race and was the eventual winner, enclosed the area shown in the figure below. What is the prize money won?
\(\textit{Note: The arc from C to D makes a complete semi-circle. Given: }\) $AB=3$ m, $BC=10$ m, $CD=BE=2$ m. 

Balls are arranged in rows to form an equilateral triangle (1 in the first row, 2 in the second, and so on). If 669 more balls are added, all the balls can be arranged in a square and each side of the square contains 8 balls fewer than the number of balls on a side of the triangle. What was the initial number of balls?
The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed out of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee of which Mr. Y is a member, is
A candidate is selected for interview for three posts. For the first post there are 5 candidates, for the second there are 8 and for the third there are 7. What are the chances for his getting at least one post?
The probability that a contractor will get a plumbing contract is \(2/3\) and the probability that he will not get an electric contract is \(5/9\). If the probability of getting at least one contract is \(4/5\), what is the probability that he will get both?

A lawn is in the form of an isosceles triangle. The cost of turfing on it came to $₹ 1{,}200$ at ₹ 4 per m$^2$. If the base be 40 m long, find the length of each side.

The maximum value of $4 \, \sin^2 \, x - 12 \sin \, x + 7$ is
If $A = \begin{bmatrix}1&-5&7\\ 0&7&9\\ 11&8&9\end{bmatrix}$, then trace of matrix $A$ is
If $(-3, 2)$ lies on the circle $x^2 + y^2 + 2gx + 2fy + c = 0$, which is concentric with the circle $x^2 + y^2 + 6x + 8y - 5 = 0,$ then c is equal to
The value of the determinant $\begin{vmatrix}\cos\alpha&-\sin\alpha&1\\ \sin \alpha&\cos\alpha&1\\ \cos\left(\alpha+\beta\right)&-\sin\alpha+\beta&1\end{vmatrix} $ is
A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A, its equation is
If the line $y = mx + 1$ meets the circle $x^2 + y^2 + 3x = 0 $ in two points equidistant from and on opposite sides of $x$-axis, then

A sum was divided among $P$, $Q$ & $R$. $R$ got double than $P$ who got double than $Q$. If the difference between the shares of $Q$ and $R$ is Rs. 3675.00, then the sum in rupees is

The price of 2 trousers and 4 shirts is Rs. 1,600. With the same amount one can buy 1 trouser and 6 shirts. If one wants to buy 12 shirts, he has to pay}

If \(x=\left(\dfrac{3}{2}\right)^{-2}\div\left(\dfrac{2}{3}\right)^{-4}\), the value of \(x^{2}\) is

A dealer buys an article for Rs. 380. What price should he mark so that after allowing a discount of 5% he still makes a profit of 25% on the article?

When \(16x^4+12x^{3}-10x^{2}+8x+20\) is divided by \(4x-3\), the quotient and the remainder are, respectively

If \(x+\dfrac{1}{x}=3\) find \(x^{2}+\dfrac{1}{x^{2}}\).

Out of the total income, $X$ spends 20% on house rent and 70% of the remaining on household expenditure. If $X$ saves Rs.\ 1800, the total income is
The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are
120 men had food provision for 200 days. After 5 days, 30 men died of an epidemic. The food will last for further
In a factory, the production of scooters rose to 48{,400 from 40{,}000 in 2 years. The rate of growth per annum is}
In the number series 4, 10, 23, 50, 104, 216, 439 the wrong number is