List of top Questions asked in ICAR AIEEA (PG)

Given below are two statements:
Statement (I): Sulphur is the major problem in sodic soils.
Statement (II): They have an ESP \(>15\), the \(EC_e\) is \(<4\) dS \(m^{-1}\), and the lower limit of the saturation extract SAR is 13.
In light of the above statements, choose the most appropriate answer from the options given below.

Flame Photometer works on the principle of _________.

Cotton Leaf Curl Virus is _________.
(A). Single stranded DNA containing virus
(B). Transmitted by whitefly
(C). Quarantine virus
(D). Restricted in crop adjoining to Pakistan bordering area only
Choose the correct answer from the options given below:

The amount of mixed fertilizer grade (12:32:16), urea and MoP required to supply 100 kg, Nitrogen, 50 kg Phosphorous and 50 kg Potash is _________.

Which of the following statements about firms in different types of market is false?

If \(\Gamma(n)=\int_{0}^{\infty} e^{-x}x^{n-1}\,dx,\; n > 0\), then the value of \(\int_{0}^{\pi/2}\sin^{n}x\,dx\) is given by:

Where was the 23rd edition of the India International Seafood Show (IISS) held?

David Ricardo is most well-recognized for his _________.

Suppose you find Rs 100, if you choose to use Rs 100 to watch IPL match, your opportunity cost of going to watch IPL match is _________.

If firm is making an Accounting profit, which of the following should be deducted from its revenue?

Suppose f is continuous on [a, b] and differentiable on (a, b). If f(a) = f(b), then there exists at least one number c between a and b such that $f'(c) = 0$ is the statement of

If the function \(f(x,y)\) has mixed second order partial derivatives \(f_{xy}\) and \(f_{yx}\) that are continuous in an open disk containing \((x_0,y_0)\), then:

If f is continuous on an open interval containing a value $x_0$, and if f changes the direction of its concavity at the point ($x_0, f(x_0)$), then f has :

The value of \(\lim_{x \to +\infty}\sqrt[3]{\frac{3x+5}{6x-8}}\) is given by:

Let f be a function such that f and all its derivatives exist in an open interval I containing c, then the Taylor’s series of f at x = c is given by :

The value of \(\int_{0}^{6} f(x)\,dx\), if \(f(x)=\begin{cases}x^2, & x < 2 \\ 3x-2, & x \ge 2\end{cases}\), is given by:

Suppose the function f is continuous at the point P(c, f(c)). Then, the graph of f has a vertical tangent at P if :

The formula to solve simple non-linear equation f(x) = 0 by Newton’s Raphson Method is given by :

The solution of the differential equation \(\frac{d^2x}{dt^2}+6\frac{dx}{dt}+9x=0\) is given by:

If \(A\) is any real number and \(r\) is a positive rational number, then the value of \(\lim_{x\to +\infty}\frac{A}{x^r}\) is:

The process of evaluating a definite integral from a set of tabulated values of the integrand is called:

If $\Delta$ and $\nabla$ be the first forward difference and first backward difference operator respectively, then the expression $(1+\Delta)(1-\nabla)$ is equivalent to :

The value of \(\int \cos^{-1}(2x)\,dx\) is given by:

The solution of the differential equation $\cos(x+y)dx + [3y^2 + 2y + \cos(x+y)]dy = 0$ is given by :

If \(z=f(x,y)\), \(x=e^u+e^{-v}\), and \(y=e^{-u}-e^v\), then: