List of top Mathematics Questions

The vectors \(3\hat{i}-\hat{j}+2\hat{k},2\hat{i}+\hat{j}+3\hat{k}\) and \(\hat{i}+λ\hat{j}-\hat{k}\) are coplanar if λ is :

A card is drawn at random from a well shuffled pack of 52 cards. What is the probability of getting a ‘two’ of hearts or a ‘three’ of diamonds ?

For a certain data test statistic ‘t’ is calculated as : \(|t|=|\frac{65-68}{\frac{4}{\sqrt{15}}}|=2.90\), then select the correct option :

Three dice are thrown. The probability of getting a sum of numbers which is a perfect cube, is:

If \(\frac{x+y}{x-y}+\frac{x-y}{x+y}=\frac{10}{3}\),then \(\frac xy=\)

A tank can be filled by two pipes A and B in 18 minutes and 24 respectively. Another tap C can empty the full tank in 36 mintues. If the tap C is opened 6 minutes after the pipes A and B are opened, the tank will become full in a total of :

The following data is taken from a simple random sample :
3, 7, 5, 9, 15, 11, 8, 4, 6, 2
The point estimate of the population standard deviation is :

Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

For x+y=8, the maximum value of xy is:

If point \(B(0, 1)\) is equidistant from points\( A(5, -3) \)and \(C(x, 6)\), then find the values of \( x\)

The price relatives and weights of a set of commodities are given as:

Commodity	P	Q	R
Price Relative	100	130	180
Weight	x	2x	y

If the sum of weights is 54 and index for the set is 130, then the values of x and y are

Match List I with List II

Choose the correct answer from the options given below:

The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.

A random variable X has the following probability distribution

then value of E(X) is:

The integrating factor of differential equation \(\frac{dy}{dx}+y=\frac{1+y}{x}\) is:

The interval in which the function \(f(x) = 10-6x-2x²\) is decreasing is:

The heights of two right circular cones are in the ratio \(1 : 2\) and the circumferences of their bases are in the ratio \(3: 4.\) Find the ratio of their volumes.

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

The area of the region bounded by the line 2y = 5x +7, x-axis and the lines x - 1 and x -3 is :

The value of \(\int\limits_{-1}^1x^2 [x] dx\) is:

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

If y = Asinx + Bcosx, Where A and B are constants, then \(\frac{d^2y}{dx^2}\) is equal to :

If xy = e^(x-y), then the value of \(\frac{dy}{dx}\) at (1, 1) is :

If CE||DB, what is the value of x:

The value of \(\int\limits_{-3}^2x^2 |2x| dx\) is: