ISI MS QE Mock Test

What is the probability of 53 Sundays in a leap year

Tickets numbered 1 to 200 are mixed and a ticket is drawn at random from them. What is the probability that the ticket drawn is a multiple of 3

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

What is the Probability of getting a sum 9 from two throws of a dice

Two dice are rolled simultaneously. The probability that total score is prime number is

Let A and B be two mutually exclusive events with positive probability each, defined on the same sample space. Find the correct answer:

An unbiased coin is tossed until a head appears. The expected number of tosses required is

A card is drawn at random from an ordinary deck of cards. If an ace is drawn you win Rs. 100; if a king is drawn you win Rs. 75; if a queen is drawn you win Rs. 50; and if a jack is drawn you win Rs. 25. What is the probability of winning at least Rs. 25? What would you expect to win on average?

Among 25 articles, 9 are defective, 6 have only minor defects and 3 have major defects. The probability that, if a selected article is defective, then the defect is major is

A student must choose one of the subjects - Physics, Chemistry or Mathematics for study. She is equally likely to choose Physics or Chemistry and twice as likely to choose Mathematics. The probability that student chooses Mathematics is

If A and B are independent events, P(A) = 0.5, P(A U B) = 0.7, then P(B) is

A car with six spark plugs is known to have two defective spark plugs. If two plugs are pulled at random, then the probability that both are defective is :

If E(XY) = 36, E(X) = 9, E(Y) = 4 then

Events A and B are equally likely and are independent. The probability of the event A and B is 0.36. The probability of A is :

If P(A) = P(B) = p, then P[A ∩ B] 

Given P(A) = 0.5, P(B) = 0.4 if A and B are independent then P(A U B) is

If a fair coin is tossed twice, the probability of getting 'head' at least once is 

If two fair dice are tossed, the probability that the sum of the points on the dice equals 7 is 

If A and B are independent events then

Given P(A) = 0.4, P(A U B) = 0.7, and A and B are independent, P(B) is equal to

Investment increases proportionately with the increase in capital stock implies that, for a given rate of saving _______

In the Solow Model, The production function becomes __________ as k increases indicating that it gives _____________ marginal product of capital

The aggregate production function for the Solow growth model assumes (A) ___________ returns to scale and (B) _____________marginal productivity of labour and capital.

In the Solow Model, the point where investment is equal to depreciation is known as the ______________.

According to the Solow Model, _____________________ is a function of capital.

Consider an economy described by the following production function :

F(K, L) = K^0.5L^0.5  

Assume that the rate of depreciation is 10% per year and rate of saving is 30%. Find the steady state level of Investment of Solow’s model.

Consider an economy described by the following production function :

F(K, L) = K^0.5L^0.5  

Assume that the rate of depreciation is 10% per year and rate of saving is 30%. Find the steady state capital stock per worker of Solow’s model.

In the Solow Model, the change in saving rate produces

In the Solow Model, the economy which is not at steady state

In the Solow Model, at the steady state we have

In the Solow model, the steady-state level of capital per worker is determined by:

What is the "golden rule" level of capital in the Solow model?

In the Solow model, what role does the depreciation rate play in the economy?

The Solow model predicts that countries with lower initial levels of capital per worker will:

In the Solow model, technological progress is often considered to be:

According to the Solow model, if a country increases its saving rate, what will happen in the long run?

In the context of the Solow model, what is meant by "steady state"?

According to the Solow model, an increase in the population growth rate will:

Which of the following assumptions is NOT part of the Solow model?

In the Solow model, convergence occurs when: