List of top Mathematics Questions

If \(A\)=\( \begin{vmatrix}  3  & 1  \\[0.1em]   -1 & 2  \end{vmatrix}\) then \(A^2-5A=\)

Which one of the following numbers is not a prime number?

Where does the point P (-5, 0) lies?

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

The present value (in ₹.) of a perpetuity of ₹.3600 payable at the end of each quarter, if the interest rate is 9% per annum compounded quarterly, is:

The relation R in the set A = {1, 2, 3, 4} is given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} is :

If f(x)= \(\frac{\sqrt{4} + x - 2}{x}, If \ x \neq 0 \\ k \ If \ x \neq 0\) ,is continuous at x = 0, then the value of k is:

For the function f(x) = 2e^5x + 10, which of the following is the most appropriate option.

A random variable has the following probability distribution

The value of P(X <3) is:

Match LIST I with LIST II

List-I		List-II
A	If the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y is.	I	27
B	If the corner points of the feasible region for an LPP are (0, 0), (0, 2), (3, 4), (5, 3). then the maximum value of the objective function Z=3x+4y	II	60
C	The comer points of the feasible region for an LPP are (0, 2), (1, 2), (4,3), (7, 0). The objective function is Z = x+5y. Then (Max Z+Min Z) is	III	25
D	If the corner points of the feasible region for an LPP are (0, 4), (3, 0), (3, 2), (6,9) The objective function is Z=2x+6y. Then (Max Z-Min Z)	IV	26

Choose the correct answer from the options given below

If\( cos 6\theta= sin 3\theta\), then the value of \(\theta\) is:

In a box, consisting 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is :

Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?

For a discrete random variable X, whose probability distribution is defined as :
\(P(x)=\begin{cases} 2k(x+1) ;& x = 0,1 \\ 3kx; &  x=2 \\ k(5-x) & x=3 \end{cases}\)
The value of mean will be

A pair of dice is thrown 3 times. If getting a doublet is considered a success, then the probability of two successes is :

A borrowed Rs 10000 each from his friends B and C for 2 years. He was supposed to pay compound interest at 10% per annum to B and simple interest 11% per annum to C. Who charged more interest at the end of 2 years and how much more ?

Which three of the given can be added to get a rectangular figure?

A sum of money triples it self in 3 years at compound interest. In how many years will it becomes 9 times

The minimum value of z=3x+6y subject to the constraints \(2x+3y≤180\), \(x+y≥60\), \(x≥3y\), \(x≥0\), \(y≥0\) is:

Equation of normal to curve \(y=x+\frac12sin2x\) at \(x=-\frac{\Pi}{2}\) is:

The value of \(\int_0^{\frac{\pi}{2}} log (\frac{5 + 4 sinx}{5 + 4 cosx})dx\) is:

The integrating factor of the differential equation (1 +y²)dx - (tan^-1 y - x)dy = 0, is :

The area of the region bounded by the curves \(x^2=4y\), the line x = 3 and x axis is:

If \(x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}\) (a is a constant) then \(\frac{dy}{dx}\) is equal to :

Two unbiased coins are tossed. What is the probability of getting one head and one tail?