List of top Mathematics Questions

\((6:30+19:50), \)in 24 hours clock is :

Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :

The ratio of areas under the curves \(y=sinx \) and \(y=sin2x\) ,from \(x=0\) to  \( x=\frac{\pi}{3}\) is

The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (0, 4), (4, 0), (2, 4) and (0, 5). If the maximum value of Z = ax + by where a, b > 0 occurs at both (2, 4) and (4, 0) then

The solution of the differential equation \(\frac{dy}{dx}=-\frac{x}{y}\) is:

There are two values of a for which the determinant, \(\Delta =\begin{bmatrix}1& -2& 5\\[0.3em]0& a& 1\\[0.3em] 0& 4& 2a\\[0.3em] \end{bmatrix} = 86\), then the sum of these values of a is:

The value of objective function is maximum under linear constraints is

Match List I with List II

Choose the correct answer from the options given below:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

If \(A (2,3), B(2,4) C(4,9)\)and \(D (x,8)\) are the vertices of a parallelogram \(ABCD\), then find the value of \(x.\)

The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:

Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag?

January 11, 1997 was a Sunday. What day of the week was on January 7, 2000?

In the given figure the value of angle ‘x’ is _________

The area of the region bounded by |x| + |y| = 1, x ≥ 0 y ≥ 0 is :

A shopkeeper sold \(\frac23\) of his stock of rice at a profit of \( 5\%\) and the remaining stock at a loss of \(2\%\). If his total profit was \( ₹\)\( 1000\), then the cost price of the whole stock of rice is:

If the present value of a perpetuity of ₹600 payable at the end of every six months is ₹18000, then the rate of interest is:

A solid hemisphere of radius \(24 cm\) is melted and identical cones each of base radius\( 8 cm\) and height \( 6 cm \) are formed. How many such cones are formed?

Which index number is used to compare cost of living at two different cities?

Manish goes 8 km in the North from his school. Now, turning to the left, he goes 15 km and again turns to the left and goes to 8 km. How far he is from his school and in which direction?

If the lines \(\frac{x-1}{-3} = \frac{y-2}{2 \lambda} = \frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda} = \frac{y-1}{2} = \frac{z-6}{-5}\) are perpendicular. Then the value of \(\lambda\) is:

In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:

The tangent to the parabola, x² = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :

If \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:

The set of value of \(x\) for which the angle between the \(\overrightarrow a = 2x²\hat i + 4x \hat j + \hat k\) and \(\overrightarrow b =7\hat i-2\hat j + x\hat k\) is obtuse is :