List of practice Questions

From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include at least 4 batsmen and at least 4 bowlers. One batsman and one bowler who are captain and vice-captain respectively of the team should be included. Then the total number of ways such a selection can be made, is:

For the reaction A(g) $\rightleftharpoons$ 2B(g), the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500, at 1000 K.
[Given: R = 0.0831 atm $mol^{–1} K^{–1}$]
$K_p$ for the reaction at 1000 K is:

Calculate the value of Net Value Added at Factor Cost (NVA_FC):

S. No.	Particulars	Amount (in ₹ crore)
(i)	Operating Surplus	3,740
(ii)	Increase in unsold stock	600
(iii)	Sales	10,625
(iv)	Purchase of raw materials	2,625
(v)	Consumption of fixed capital	500
(vi)	Subsidies	400
(vii)	Indirect taxes	1,200

On the basis of the following data, estimate the value of National Income (NNP_FC):

S.No.	Items	Amount (in ₹ crore)
(i)	Household Consumption Expenditure	$ 800 $
(ii)	Gross Business Fixed Capital Formation	$ 150 $
(iii)	Gross Residential Construction Investment	$ 120 $
(iv)	Government Final Consumption Expenditure	$ 270 $
(v)	Excess of Imports over Exports	$ 20 $
(vi)	Inventory Investments	$ 50 $
(vii)	Gross Public Investments	$ 130 $
(viii)	Net Indirect Taxes	$ 20 $
(ix)	Net Factor Income from Abroad	$ -25 $
(x)	Consumption of Fixed Capital	$ 40 $

Calculate Net Domestic Product at Market Price (NDP_MP) from the data given below:

S. No.	Particulars	Amount (in ₹ lakh)
(i)	Gross Domestic Product at Factor Cost	2200
(ii)	Subsidies	50
(iii)	Indirect Taxes	70
(iv)	Net Factor Income from Abroad	100
(v)	Consumption of Fixed Capital	150
(vi)	Net Exports	40

Which of the following oxides is amphoteric in nature?

How many moles of $\mathrm{CO_2}$ are produced when 4 moles of $\mathrm{C_2H_6}$ (ethane) combust completely?
Given reaction: \[ 2 \mathrm{C_2H_6} + 7 \mathrm{O_2} \rightarrow 4 \mathrm{CO_2} + 6 \mathrm{H_2O} \]

Choose the incorrect statement among the following:
I. The present era is called “Golden era of Biology”.
II. Sexual system of classification was proposed by Theophrastus.
III. Study of Amphibians of plant kingdom are called Bryology.
IV. Recycling of nutrients takes place by parasitic petrophants.

One acre of trees annually absorbs CO$_2$ equal to that produced by driving 26000 miles. How many people’s oxygen needs for a year does this cover?

Assertion (A): Genetic drift tends to reduce the amount of genetic variation within the population.
Reason (R): In genetic drift alleles with low frequencies are removed in a population.

If $T$ is the time period of a simple pendulum, then at a time $\frac{T}{6}$ the pendulum passes its mean position

What are X and Y respectively in the following set of reactions?

What are X and Z in the following reaction sequence? (X forms sodium alkynide) \[ X (C_4H_6) \xrightarrow{{partial reduction}} Y \xrightarrow{H_2O/H^+} Z ({major product}) \]

Match the following

List-I		List-II
A.	Parasitic castration	I.	Sacculina
B.	Gigantism	II.	Larvae of liver fluke
C.	Hyperplasia	III.	Fasciola in sheep bile duct
D.	Hypertrophy	IV.	Plasmodium

It is a green house gas

Which enzymes play a key role in target cell destruction during cell mediated immunity?

These are involved in differentiation of cells of immune system.

Vessel (A) contains 1 mole each of H$_2$ and I$_2$, and vessel (B) contains 2 moles each of H$_2$ and I$_2$. Both vessels are at the same temperature and reach equilibrium for the reaction H$_2$(g) + I$_2$(g) $\rightleftharpoons$ 2HI(g). What is the ratio of the equilibrium constants $K_p$ for vessels A and B?

What is the end product 'R' in the reaction sequence?

Match the following

Match the following:

Animal	Class
A) Feather star	V) Crinoidea
B) Acorn worm	IV) Enteropneusta
C) Pearl oyster	I) Bivalvia
D) Millipede	III) Diplopoda

Study the following and pick up the correct statements:
[I)] \Daphnia exhibits cyclomorphosis
[II)] In a thermally stratified lake of temperate region, the upper layer in winter is epilimnion
[III)] Niche is the functional role of an organism in an ecosystem
[IV)] Bergmann’s rule states the relationship between temperature and metabolic rate of animals

MHC class II molecules are primarily found on

One of the following is not associated with male reproductive system of man.

Identify the correct set from the following:

S.No.	Items	Amount (in ₹ crore)
(i)	Household Consumption Expenditure	\( 800 \)
(ii)	Gross Business Fixed Capital Formation	\( 150 \)
(iii)	Gross Residential Construction Investment	\( 120 \)
(iv)	Government Final Consumption Expenditure	\( 270 \)
(v)	Excess of Imports over Exports	\( 20 \)
(vi)	Inventory Investments	\( 50 \)
(vii)	Gross Public Investments	\( 130 \)
(viii)	Net Indirect Taxes	\( 20 \)
(ix)	Net Factor Income from Abroad	\( -25 \)
(x)	Consumption of Fixed Capital	\( 40 \)