List of top Statistical Science Questions asked in ICAR AIEEA (PG)

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:

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.

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

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

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

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

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.

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

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

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

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

To select text by shading as you drag the mouse arrow over the text is known as :

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

Microsoft Word is a ________.

"www" stands for :

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

How often does the Census Bureau take a complete population count ?

A variable that can assume any value between two given points is called :

Which of the following is not a bioinformatics tool ?

Which of the following is the sequence alignment tool ?