List of top Questions asked in KCET

The angle between the line $x + y = 3$ and the line joining the points $(1, 1)$ and $(-3, 4)$ is:

If A.M. and G.M. of roots of a quadratic equation are $5$ and $4$ respectively, then the quadratic equation is:

If $S_n$ stands for the sum to $n$-terms of a G.P. with $a$ as the first term and $r$ as the common ratio, then $\frac{S_1}{S_2}$ is:

In the expansion of $(1 + x)^n$, $\frac{{}^nC_1}{{}^nC_0} + 2 \cdot \frac{{}^nC_2}{{}^nC_1} + 3 \cdot \frac{{}^nC_3}{{}^nC_2} + \dots + n \cdot \frac{{}^nC_n}{{}^nC_{n-1}}$ is equal to:

The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is $180$ cm, then:

The real value of $\alpha$ for which $\frac{1 - i \sin \alpha}{1 + 2i \sin \alpha}$ is purely real is:

If $\triangle ABC$ is right-angled at $C$, then the value of $\tan A + \tan B$ is:

If in two circles, arcs of the same length subtend angles $30^\circ$ and $78^\circ$ at the centre, then the ratio of their radii is:

If $[x]^2 - 5[x] + 6 = 0$, where $[x]$ denotes the greatest integer function, then:

Two finite sets have m and a elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and a respectively are:

The annual net primary productivity of the biosphere is approximately:

Match the type of adaptation given in List-I with their examples given in List-II. Select the option showing correct combination

List-I (Types of adaptation)		List-II (Examples)
1	Biochemical adaptation	p	Desert lizards
2	Behavioural adaptation	q	Deep sea fishes
3	Physiological adaptation	r	Opuntia
4	Morphological adaptation	s	Kangaroo rats

The sequence of communities of primary succession in water is:
(A) Phytoplanktons → Scrubs → Free floating hydrophytes → Rooted hydrophytes → Grasses → Trees.
(B) Phytoplanktons → Free floating hydrophytes → Rooted hydrophytes → Trees → Scrubs.
(C) Free floating hydrophytes → Scrubs → Phytoplanktons → Rooted hydrophytes → Grasses → Trees.
(D) Phytoplanktons → Rooted hydrophytes → Free floating hydrophytes → Reed swamps → Marsh meadows → Scrubs → Trees.

The natural reservoir of phosphorus is:

Which of these enzymes is required to cleave a plasmid?

Select the correct statement from the following:

The chemical substances produced by some microbes which can kill or retard the growth of other microbes are known as:

Match the nutrients given in List-I with the source in List-II:

List-I		List-II
1	Vitamin A	p	Bitter gourd
2	Single cell protein	q	Beans
3	Vitamin C	r	Carrots
4	Protein	s	Spirulina spp

Choose the correct option from the following :

Identify the bacterial disease among the following:

Mule is the result of:

Read the following statements:
Statement I: Morphine is obtained by acetylation of Heroin.
Statement II: Cannabinoids are known for their effect on the cardiovascular system.
Which of the following options is correct with reference to these statements?

The genome of HIV replicates in the macrophages with the help of an enzyme called:

The principle of vaccination is based on which property of the immune system?

The most ape-like ancestral primate was: