List of top Questions asked in ICAR AIEEA (PG)

If an n x n matrix A satisfies the equation \(A^2 - 2A + I = 0\), then:
1. \(A^3 = 3A - 2I, A^4 = 4A - 3I\)
2. \(A^3 = 2A - I, A^4 = 4A - 3I\)
3. \(A^3 = 2A^2 - 3I, A^4 = 3A^2 - 4I\)
4. \(A^3 = 4A - 3I, A^4 = 3A - 2I\)

Which of the following statements is false?

The center and radius of the circle \(r^2 = 4r \cos \theta\) are:

For the function \(f(x) = \begin{cases \frac{\sin x}{x} & x \neq 0 h & x = 0 \end{cases}\), the value of \(h\) for which the function is continuous at \(x = 0\) is:}

If \(A = \begin{pmatrix} 1 & 1 1 & 1 \end{pmatrix}\), then the entries of \(A^3\) are:

If \(A = \begin{pmatrix} 4 & -6 -8 & 12 \end{pmatrix}\), then a nontrivial solution of \(A x = 0\) is:

Which of the following is true?

Which of the following statements is false for sets A, B and C?

The value of \(z = \frac{(-1 + i)^4{(\sqrt{3} + i)^{10}}\) is:}

The value of \((\cos 15^\circ + i \sin 15^\circ)^6\) is:

If \(a, b, c\) are in G.P., then which of the following is true?

The least upper bound (lub) and greatest lower bound (glb) of the set \( \{1 + ((-1)^n / n) ; n\in \mathbb{N\} \) are:}

Which of the following is the most suitable extension teaching method for the problem of rat control in a rural village?
A. Campaign
B. Group Discussion
C. Group Meeting
D. Radio talk

Given below are two statements:
Statement I: News is difficult to define because it has many variables.
Statement II: News must be factual, yet not all facts are news.
In the light of the above statements, choose the most appropriate answer from the options given below:

Which of the following is a communication technique where the farmer and farm families are not at home nor in their fields when the extension professional visits?

Internet was started in:

Teleconferencing was started in:

Which of the following are types of teleconferencing?
A. Audio teleconferencing
B. Video teleconferencing
C. Computer teleconferencing
D. Audiographics teleconferencing

Which one of the following techniques is used to generate innovative and creative ideas?

Write the sequence of stages of the adoption process:
A. Awareness
B. Trial
C. Interest
D. Adoption
E. Evaluation

Match List I with List II

List I & List II
A. Late majority & I. 2.5 percent
B. Innovators & II. 13.5 percent
C. Early adopters & III. 34 percent
D. Laggards & IV. 16 percent
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: Journalism's first obligation is not the truth.
Statement II: Journalism's practitioners must maintain dependence from those they cover.
In the light of the above statements, choose the most appropriate answer from the options given below:

According to the Innovation Decision Process, which of the following are not suitable extension teaching methods at the 'Implementation' stage?
A. Friends and relatives
B. Poster and newspapers
C. Result demonstration
D. Local leaders and personal visit

Given below are two statements:
Statement I: Message is used to convey the source's meaning by means of any codes.
Statement II: Meanings of messages are not in people.
In the light of the above statements, choose the most appropriate answer from the options given below:

Which one of the following are the primary colours in drawing and painting?
A. Red
B. Blue
C. Yellow
D. White