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

The current flowing through the armature of a d.c. shunt machine at maximum efficiency is given by :

If \(2x^3 + 3x^2 + 5x + 6 = 0\) has roots \(\alpha\), \(\beta\), \(\gamma\) then, find \(\alpha + \beta + \gamma\)

Given below are two statements:
Statement (I) : Differentiation and Integration are just opposite of each other.
Statement (II) : Differentiation is the slope of any curve at any point, while integration is the area under that same curve specified between two points.
In light of the above statements, choose the most appropriate answer from the options given below.

Let quadratic equation be \(ax^2 + bx + c = 0\) then the sum of roots will be :

Given below are two statements :
Statement (I) : A direct subsidy is a kind of subsidy which is provided to the farmers by the government in the form of cash for example farm waiver schemes, PM Kisan scheme etc.
Statement (II) : An indirect subsidy is a kind of subsidy that is being provided via discount on other agricultural purchase like seeds and fertilizers
In light of the above statements, choose the most appropriate answer from the options given below.

Following are the statements pertaining to power in pumps :
(A) The efficiency of any given pump (\(\eta\)) is a ratio defined as the water horsepower out divided by the mechanical horsepower into the pump
(B) No pump can convert all of its mechanical power into water power
(C) Mechanical power is lost in the pumping process due to friction and other physical losses
(D) It is because of these losses that the horsepower going into the pump must be greater than the water horsepower leaving the pump
Choose the correct answer from the options given below:

The general solution of the differential equation \(\frac{dy}{dx} = \frac{x^2}{y^2}\) is :

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R).
Assertion (A) : The probability of a sure event is 1.
Reason (R) : Let E be an event. Then \(0 \le P(E) \le 1\).
In light of the above statements, choose the correct answer from the options given below:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

Let \(a_n=\frac{1}{n^2}\) be a sequence of real numbers. Then the sequence is:

Let \(\sum_{n=1}^{\infty}a_n\) be any series of real numbers, then which of the following statement is true?

Find the order of the differential equation \(\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^3 + y^4 = 0\)

Let \((a_n)=n^2\) and \((b_n)=1+\frac{1}{n^2}\) be sequences of real numbers, then:

Let \(\sum_{n=1}^{\infty}(-1)^n a_n=\sum_{n=1}^{\infty}(-1)^n\frac{1}{\sqrt{n}}\) be a series, then:

A personal computer's primary memory, commonly known as its main memory, consists of ?

Let \(a\) and \(b\) be two real numbers with \(a,b > 0\) and \(a < b\). Then which of the following is true?

Let x and y be two real numbers, then which of the following is always true ?

Let ($\text{a}_\text{n}$) and ($\text{b}_\text{n}$) are two convergent sequences of real numbers, then which of the following is always true ?

If \(c\) is any real number and \(0 < c < 1\), then:

The file type ________ indicates the file is a Word document.

Which of the following command is NOT present in Quick Access Toolbar ?

'.BAT' extension refers usually to what kind of file ?

Microsoft Word is a ________.

A program that neither replicates or copies itself, but does damage or compromises the security of the computer. Which 'Computer Virus' is it ?