List of top Questions asked in ICAR AIEEA (PG)- 2023

The necessary condition of a convergent sequence is :

The eccentricity of the parabola is :

Let \(x^2 = -\frac{25}{2} y\) be the equation of a parabola, then the equation of its directrix is given by :

The series \(\sum_{n=1}^{\infty} \frac{1}{n}\) is :

Let \(z_1\) and \(z_2\) be two complex numbers, then dot product of \(z_1\) and \(z_2\) is :

The value of \(\frac{5+5i}{3-4i} + \frac{20}{4+3i}\) is given by :

Let \(\mathbb{R}^n = V\) is a vector space over the field of real numbers, then which of the following is a subspace ?

Let \(A\) and \(B\) be two matrices and \(r\) be any scalar, then :

Let \(A\) and \(B\) be two invertible matrices, then which of the following is true ?

Let \(A = \begin{bmatrix} 1 & 2 & 0 & -1 2 & 6 & -3 & -3 3 & 10 & -6 & -5 \end{bmatrix}\) , then rank of matrix \(A\) is :

Let \(W_1\) and \(W_2\) are two subspaces of a vector space \(V\) over the field \(F\), then :

Let \(B = \begin{bmatrix} 5 & -9 & 6 0 & 2 & 3 0 & 0 & 7 \end{bmatrix}\) , then its reduced echelon form is :

Patience is a must to solve all the problems of our life.

The sum of \(\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \dots + \frac{1}{9 \times 10}\) is :

Let \(z_1\) and \(z_2\) be two complex numbers, then :

Polar form of the complex number \(z = -4 + i4\sqrt{3}\) is :

Let \(A\) and \(B\) be two non-empty sets, then \((A \cup B)^C\) is equal to :

Assume that farmers didn't have a contract with a company and he got Rs. 43 per kg for both of the products for the time period of 2011 to 2017. The farmer will have _________ compared to existing system.

At the time of the sale, the machine tools suffer further taxation.

Liberal education makes a man cultural.

He has given up the habit to read books.

He was nostalgic with his childhood.

The ratio of Undergraduate and post graduate pursuing students from state B to Undergraduate and post graduate pursuing students from state A is ?

If the youth population of state A and State B is considered 95000 and 125000 respectively, then what will be the absolute difference among State A and State B for Ph.D pursuing students?

What is the difference between average castor production and average cotton production ?