List of practice Questions

Outline salient features of carbon cycling in an ecosystem
 
Express the following matrices as the sum of a symmetric and a skew-symmetric matrix:
\((i)\begin{bmatrix}3&5\\1&-1\end{bmatrix}\)
\((ii)\begin{bmatrix}6&-2&2\\ -2&3&-1\\ 2&-1&3\end{bmatrix}\)
\((iii)\begin{bmatrix}3&3&-1\\ -2&-2&1\\ -4&-5&2\end{bmatrix}\)
\((iv)\begin{bmatrix}1&5\\-1&2\end{bmatrix}\)
Define ecological pyramids and describe with examples, pyramids of number and biomass.

Briefly describe the following: 

(a) Transcription 

(b) Polymorphism 

(c) Translation 

(d) Bioinformatics
 

Which property of DNA double helix led Watson and Crick to hypothesise semiconservative mode of DNA replication? Explain.
Explain the following terms with example
(a) Co-dominance
(b) Incomplete dominance
A child has blood group O. If the father has blood group A and mother blood group B, work out the genotypes of the parents and the possible genotypes of the other offsprings.
How is sex determined in human beings?
Two heterozygous parents are crossed. If the two loci are linked what would be the distribution of phenotypic features in F1 generation for a dihybrid cross?
When a cross in made between tall plants with yellow seeds (TtYy) and tall plant with green seed (TtYy), what proportions of phenotype in the offspring could be expected to be
(a) Tall and green.
(b) Dwarf and green.
Maximise Z=-x+2y
subject to the constraints:
x≥3,x+y≥5,x+2y≥6,y≥0.
Minimise and Maximise Z=5x+10y
Subject to x+2y≤120,x+y≥60,x-2y≥0,x,y≥0.
Using a Punnett square, work out the distribution of phenotypic features in the first filial generation after a cross between a homozygous female and a heterozygous male for a single locus.
Define and design a test - cross?
Explain the Law of Dominance using a monohybrid cross.
Draw a labeled diagram of a Graafian Follicle?
A diploid organism is heterozygous for 4 loci, how many types of gametes can be produced?
Describe the structure of a seminiferous tubule.
Draw a labeled diagram of male reproductive system.
Draw a labeled diagram of female reproductive system.
With a neat, labelled diagram, describe the parts of a typical angiosperm ovule.
 
With a neat diagram explain the 7-celled, 8-nucleate nature of the female gametophyte
 

Prove that \(x^2-y^2=c(x^2+y^2)\)is the general solution of differential equation(\(x^3-3xy^2)dx=(y^3-3x^2y)dy\),where \(c\) is parameter.

Show that the points \(A(1,2,7),B(2,6,3)\),and \(C(3,10,-1)\) are collinear.

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. What is the value of E(X)?