Verhulst-Pearl Logistic Growth is described by the following equation:
dN/dt = rN (K-N)/K, where 'r' denotes the-

Identify the correct statement about decomposition.
(A) Decomposition is largely an oxygen requiring process.
(B) Decomposition rate is slower if detritus is rich in lignin and chitin.
(C) Decomposition is faster if detritus is rich in lignin and chitin.
(D) Decomposition is an anaerobic process.
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Which of the following genetic disorder is not a type of Mendelian disorder?

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
Match List I with List II

List I	List ll
(A) Autosomal dominant trait	(I) Klinefelter's Syndrome
(B) Autosomal recessive trait	(II) Sickle Cell Anaemia
(C) Sex linked recessive trait	(III) Myotonic Dystrophy
(D) Gain of chromosomes	(IV) Haemophilia

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Which of the following factors can influence Hardy-Weinberg equilibrium?

Which one of the following sex determination systems is found in honey bee?

Which one of them synthesizes and secretes the testicular hormones called androgens?

Arrange the following complexes in increasing order of their magnetic moment
(A) \(\left[ Cr \left( H _2 O \right)_6\right]^{3+}\)
\((B)\left[ Co \left( NH _3\right)_6\right]^{3+}\)
\((C)\left[ FeCl _6\right]^{4-}\)
\((D)\left[ Mn ( CN )_6\right]^{3-}\)
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If \(A=\left[\begin{array}{lll}1 & 2 & 1 \\ 2 & 3 & 1 \\ 0 & 0 & 1\end{array}\right]\), then \(\left|\operatorname{adj}\left(3 A^T\right)\right|^2\) is equal to

If \(\int e^x\left(\frac{x-1}{(x+1)^3}\right) d x=\frac{A e^x}{(x+1)^B}+C\), where \(C\) is constant of integration, then which of the following are correct?
(A) \(A=-1\)
(B) \(A=1\)
(C) \(B=3\)
(D) \(B=2\)
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The unit digit of \(12^{12}\) is :

If the optimal value of the objective function \(z=p x+y\) of an L.P.P occurs at two corner points \((2,11)\) and \((4,5)\) of its bounded feasible region, then its optimal value is

The product of the order and degree of the following differential equation :
\(x \left( \frac{d^2y}{dx^2} \right)^2 + \left( \frac{dy}{dx} \right)^3 + y^2 = 0\)