List of top Mathematics Questions

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:

Mean, Median and Mode of a data are related by the relation

The volume of a sphere of radius r is obtained by multiplying its surface area with :

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

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 value of 28 mod 3 is.

Match List I with List II

Choose the correct answer from the options given below:

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?

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

A person buys a flat for which he makes down payment of ₹7,50,000 and the balance is to be paid in 10 years by monthly instalments of ₹22,000 each. If the bank charges interest at the rate of 12% per annum, then the actual price of the flat using flat rate system is:

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:

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

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

If \(x\sqrt{1+y}+y\sqrt{1+x}=0;x\ne y\), then the value of \(\frac{d^2y}{dx^2}+2\frac{dy}{dx}\) at x = 1 is :

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

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

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?

The interval on which the function \(f(x)=2x^3 +12x^2 +18x-7\) is decreasing, is:

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

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 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:

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 :

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

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