List of practice Questions

LM curve represents the locus of all those combinations of y and i which satisfy \(\frac{M}{P} L(y, i)\) for given values of M and P. What is the value of \(\frac{dy}{di}\)?

Given below are two statements:
Statement-I : Between 1901-1951 in India, the relative product per worker in industry increased from above average to far above average and the relative product per worker in agriculture decreased from below average to even further below. 
Statement-II: Between 1901-1951 in India, deindustrialization definitely occurred. 
In the light of the above statements, choose the correct answer from the options given below:

The economy of INDUS grows at 6% per annum and its investment ratio is 31.2%. What is the capital output ratio of this economy, by the assumptions of the Harrod-Domar model?

For a random variable X, E(X-μ)⁴ = 16 [where μ = E(X)] and E(X-μ)² = 2. What is the value of Kurtosis for this variable?

Suppose z = f(x, y) is homogeneous of degree k. Which of the following statements is true?

Match List-I with List-II :

List-I [Utility functions U(x1,x2)]		List-II (MRSx1,x2)
(A)	\(Cx^{a}_1x^{b}_2\)	(I)	\(\frac{-(x_2+1)}{(x_1+2)}\)
(B)	\((x_1+2)(x_2+1)\)	(II)	\(-(\frac{x_1}{x_2})^{a-1}\)
(C)	\(ax_1+b\sqrt{x_2}\)	(III)	\(\frac{-ax_2}{bx_1}\)
(D)	\((x^{a}_1+x^{a}_2)^b\)	(IV)	\(-\frac{2a\sqrt{x_2}}{b}\)

Choose the correct answer from the options given below:

Let A = \(\begin{pmatrix} p & -q \\ q & p \end{pmatrix}\) be a 2 × 2 matrix.
A. The rank of matrix A given by r(A) is 3
B. Matrix A is orthogonal if and only if p² + q²=1
C. Transpose of matrix A is given by A^T \(=\begin{pmatrix} p & q \\ -q & p \end{pmatrix}\)
D. Determinant of matrix A is | A |= p
Choose the most appropriate answer from the options given below:

Consider a competitive market:
Suppose per unit commodity tax is imposed on the sellers, 
A. a tax on the commodity creates a wedge between the price the buyers pay and the price which sellers receive.
B. post tax equilibrium quantity increases.
C. if the supply is more elastic than demand then the tax burden falls more heavily on buyers.
D. if the demand is more elastic than supply then the tax burden falls more heavily on buyers. 
E. imposition of the tax creates dead weight loss. 
Choose the most appropriate answer from the options given below:

Kalpavriksh was a program that started in 1971 to oppose the destruction of the green area in which of the Indian cities.

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: Pareto optimality implies that an allocation of resources is inefficient when it is possible, through some change in the allocation of resources to benefit at least one person without making anyone else worse off.
Reason R: Pareto efficiency takes into account distributive justice and compensation of people affected negatively.
In the light of the above statements, choose the most appropriate answer from the options given below:

The inverse of a function: \(x=\sqrt{3y+9}\) is

What is the number of degrees of freedom of the residual sum of squares in a simple bivariate linear regression with 100 observations?

Which of the following production functions is NOT homogeneous of degree one?

Given below are two statements:
Statement I: Normal distribution is positively skewed.
Statement II: Normal distribution is leptokurtic.
In the light of the above statements, choose the correct answer from the options given below:

Match List-I and List-II

LIST I		LIST II
A.	For TC(Total Cost)=20+10q-3q2+q3 AFC(Average Fixed Cost) is:	I.	10-6q+3q2
B.	Given TC=20+10q-3q2+q3 MC(Marginal Cost) is:	II.	10-3q+q2
C.	Given TC=20+10q-3q2+q3 AVC(Average Variable Cost) is:	III.	\(\frac{20}{q}+10-3q+q^2\)
D.	Given TC=20+10q-3q2+q3 ATC(Average Total Cost) is:	IV.	\(\frac{20}{q}\)

Choose the correct answer from the options given below:

The function \(e^{-\frac{1}{2}x^2}\) is:

Suppose in a closed economy aggregate demand is given by AD = A(y,i) where y is real income and i is rate of interest. IS curve represents a locus of different combinations of y and i for which y=A(y,i). What is \(\frac{dy}{di}\) along the IS curve?

How many elements are there in period 4 of the periodic table?

If the inverse demand function is P=A-BQ, where A and B are positive constants, what is the elasticity at Q = \(\frac{A}{2B}\) ?

Read the passage very carefully and answer the questions. 
Good Med Abroad Is Good Med fir Home The directorate General of Foreign Trade (DGFT) has made it mandatory for all cough syrup exporters to have their product tested and certified for quality at specified government laboratories before shipping out export orders. This is welcome. It will begin to repair the reputational damage over alleged Indian cough syrup- related deaths in some countries last year. Safeguarding quality cannot be limited to some products or to exports.
Ensuring quality is the Central Drugs Standard Control Organization's (CDSCO) responsibility, not DGFT's Setting norms for exports is like applying a band-aid to a wound that requires stitches. CDSCO needs an overhaul. In the current fragmented system, quality and standardization are casualties. A modern, Independent, statutory regulatory system that has the capacity to provide oversight to an increasingly complex pharmaceutical industry while protecting public health and patient rights is required. CDSCO is the non- statutory regulator under the health ministry. It has no jurisdiction over State Drug Regulatory Authorities (SDRAS) that are part of state health departments. Each regulatory body acts independent of the other. This must change. The regulatory approach, too, needs to change. Shifting from an overwhelming focus on manufacturing to public health requires putting a doctor in charge, and shifting the regulator with multidisciplinary teams.
India is the third-largest pharma manufacturer, meeting 20% of global generic demand. The $41 billion industry is estimated to grow further -$50-65 billion by 2025, and $120-130 billion by 2030. Ensuring all Indian pharma products meets quality standards will help with public health both at home and abroad, while growing India's pharma footprint.

Eight Friends are sitting around a circular table and they are facing toward the center of table D is between B and E and third to the left of C. D is second to the right of H. H is between E and F. G is between B and C. Find out who is sitting an immediate right of A. Choose the correct option.

A horse is tied to a pole by a rope. If the horse move along a circular path always keeping the rope stretched and describes 22 m when it has traced 56° at the centre. The length of the rope is (Usе π = 22/7)

Read the passage carefully and answer the question. All over the world the wild fauna has been whittled down steadily and remorselessly, and many lovely and interesting animals have been so reduced in numbers that, without protection and help, they can never re- establish themselves. If they cannot find sanctuary where they can live and breed undisturbed, their numbers will dwindle until they join the dodo, the quagga, and the great auk on the long list of extinct creatures. Of course, in the last decade or so much has been done for the protection of wild life: sanctuaries and reserves have been started, and the reintroduction of species into areas where it had become extinct is taking place. In Canada, for instance, beavers are now being reintroduced into certain areas by means of aero plane. But although much is being done, there is still a very great deal to do. Unfortunately, the majority of useful work in animal preservation has been done mainly for animals which are of some economic importance to man and there are many obscure species of no economic importance which, although they are protected on paper, are in actual fact being allowed to die out because nobody, except a few interested zoologists, considers them important enough to spend money on. As mankind increases year by year, and as he spreads farther over the globe burning and destroying. it is some small comfort to know that there are certain private individuals and some institutions who consider that the work of trying to save and give sanctuary to these harried animals is of some importance. It is important for many reasons, but perhaps the best of them is this: man for all his genius, cannot create a species, nor can he recreate one he has destroyed. So until we consider animal life to be worthy of the consideration and reverence we bestow upon old books and pictures and historic monuments, there will always be the animal refugee living a precarious life on the edge of extermination, dependent for existence on the charity of a few human beings.