JNU SSS 2011 question paper

All 100 questions from the JNU SSS 2011 JNU MA Economics entrance paper. Open any question for the worked solution.

Q1Suppose two fair, six-sided, dice are rolled. The probability of obtaining a value from the first dice that is at least two greater than the value…
Q2If the radius of a circle is increased by 20%, then the area is increased by
Q3Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
Q4A line that is 13 units long has (4, 1) as one of the endpoints. Which of the following could be the other endpoint?
Q5If p and q are the roots of the equation x² - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)?
Q6The domain of the function f(x) = 5/(√(x + 7)) is
Q7Suppose we know that |a| < 3. Which of the following conditions is enough to imply that |b| < 5?
Q8A population consists of the following seven numbers: 2003; 1999; 2001; 1997; 2000; 2005; 1995 The variance of the population is
Q9Suppose a person's utility function is given by u(x, y). If good x and good y are perfect substitutes, then the indifference curves are
Q10If f(x) = 1/x² is integrated over the interval [1, 2], then one gets
Q11Consider an economy wherein equilibrium level of aggregate income (Y) is the sum of aggregate investment expenditure (I) and aggregate consumption…
Q12What is the GDP (in rupees) at current prices in year II?
Q13If year I is the base year, what is the GDP (in rupees) at constant prices in year III?
Q14If year I is the base year, what is the value of the GDP deflator in year III?
Q15What is the rate of growth of real GDP (base year I) in year III?
Q16Question Nos. 16–22 are to be answered on the basis of the following information: Let Y: aggregate real output per year, P: the price level, C…
Q17If C = 1000 + 0· 8W + 0· 6R, w = 10, m = 4/3, a = 16, L* = 2000, and output is below its full employment level, what is the increase in nominal…
Q18If I = 4000, C = 1000 + 0· 8W + 0· 6R, w = 10, m = 4/3, a = 16, L* = 2000, what is the price level in the economy?
Q19If I = 4000, C = 1000 + 0· 8W + 0· 6R, w = 10, m = 4/3, a = 16, L* = 2000, what is the fraction of total labour supply which remains unemployed in…
Q20Question Nos. 16–22 are to be answered on the basis of the following information: Let Y: aggregate real output per year, P: the price level, C…
Q21Question Nos. 16–22 are to be answered on the basis of the following information: Let Y: aggregate real output per year, P: the price level, C…
Q22Question Nos. 16–22 are to be answered on the basis of the following information: Let Y: aggregate real output per year, P: the price level, C…
Q23Suppose in a closed economy with no government expenditure and taxation the investment function is given by I = 2000 + 0· 1Y - 8000r and the saving…
Q24What is the expected value of the consumer's earnings (Rs in lakhs) in middle age?
Q25What is the present discounted value of the consumer's expected lifetime labour income (Rs in lakhs)?
Q26Suppose the consumer's attitude towards risk is as follows: He prefers an alternative which promises him an amount of Rs X with probability p and an…
Q27Suppose the consumer can borrow any amount in a year but must repay the loan out of future labour income. The consumer wishes to end his life with…
Q28In a bookshop, the sales of scientific books increased by 40% while the sales of engineering books decreased by 50% from 2001 to 2002. If R is the…
Q29Suppose the rate of profit is 20%, profit income is taxed at the rate of 30% and the rate of inflation is 5%. The real post-tax profit rate is
Q30Bread and apple are substitute goods. A sudden rise in the supply of flour for making bread will result in
Q31The utility function of a consumer is u = 3(x₁ + x₂), where u, x₁ and x₂ denote utility, amount of good 1, and amount of good 2 respectively. Unit…
Q32The production function of a firm is given by Q = X^(1/3)Y, where Q, X and Y denote quantities of output, input 1 and input 2 respectively. The…
Q33According to the author, agricultural prices largely determine the behaviour of the general price level, because
Q34Excess demand in the industrial market depends upon
Q35The rise in agricultural prices
Q36An improvement in agriculture's terms of trade with industry
Q37In terms of current annual human caused greenhouse gas emissions
Q38Utensils worth Rs 1,500 are produced with steel costing Rs 750 and other materials costing Rs 150. Labour cost of producing these utensils is Rs 150…
Q39During the last two decades of the 20th century, India's labour force has grown at the rate of
Q40The famous book titled, Poverty and Un-British Rule in India was authored by
Q41An outward shift of the production possibility frontier may be caused by
Q42Let P(n, m) be a property about two integers n and m. If we want to disprove the claim that 'for every integer n, there exists an integer m such…
Q43Let X, Y, Z be statements. Suppose we know that ' X is true implies Y is true', and ' X is false implies Z is true'. If we know that Z is false…
Q44Let X, Y, Z be statements. Suppose we know that X implies Y, and that Y implies Z. If we also know that Y is false, we can conclude that
Q45Suppose one wishes to prove that 'if some X are Y, then some Z are W '. To do this, it would suffice to show that
Q46The annual average rate of employment generation in India during the decade of 1990s, compared to 1980s, was approximately
Q47If the marginal cost of producing 4th unit is greater than the marginal cost of producing 3rd unit, then it follows that
Q48If the absolute value of price elasticity of demand for good X is greater than one, then we must have
Q49Consider the following: Option I: You receive Rs 112 after one year. Option II: You receive Rs 55 after nine months and Rs 56 after one year. Given…
Q50Suppose Rs 1,00,000 is deposited in an account for 3 years at 11% per annum, compounded annually. How much money would be there at the end of 3 years?
Q51Suppose the price elasticity of demand for good X is 0·2. If the price of X rises by 2·8%, what effect will it have on the total expenditure on good…
Q52A box contains red and green balls. The number of green balls is 1/3 the number of red balls. If a ball is taken randomly from the box, what is the…
Q53The probability distribution of a random variable X is given in the table below: | X | Probability | 0 | 0·24 | 1 | 0·38 | 2 | 0·20 | 3 | 0·13 | 4 |…
Q54In a certain country telephone numbers have 8 digits. The first two digits are the area code and are the same within a given area. The last 6 digits…
Q55Two dice are rolled. We define events E1, E2, E3 and E4 as follows: E1: Getting a sum equal to 10 E2: Getting a double E3: Getting a sum less than 4…
Q56Limit of (e^x - 1)/x as x approaches 0 is equal to
Q57If f(x) and g(x) are differentiable functions such that f′(x) = 3x and g′(x) = 2x², then the limit ([(f(x) + g(x)) - (f(1) + g(1))])/((x - 1)) as x…
Q58Functions g and h are given by g(x) = √((x - 1)) and h(x) = x² + 1. The composite function (g ∘ h)(x) is given by
Q59Equation x² + 1/2mx + 1 = 0 has two distinct real solutions, if
Q60Income distribution of most countries follows
Q61If m > n, which of the following is necessarily true?
Q62If x and y are any real numbers such that 0 < x < 2 < y, which of the following is necessarily true?
Q63A number of the form 213 xy, where x and y are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above…
Q64The graphs of the two equations y = dx² + bx + c and y = Ax² + Bx + C, such that a and A have different signs and that the quantities b² - 4ac and…
Q65Three solutions of the equation f(x) = 0 are -2, 0 and 3. Therefore, the three solutions of the equation f(x - 2) = 0 are
Q66If 1· 56^x = 2, then x =
Q67If log₁₀(x - y) = 3 and log₁₀(x + y) = 4, then x =
Q68The real solution(s) to the equation |x - 1| = 2x + 1 is/are
Q69Four dice are thrown. What is the probability that the same number appears on each of them?
Q70If f(x) = -e^x - 2, then the range of f is given by the interval
Q71The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation…
Q72The sum Σₖ₌₁¹⁰⁰ (3 + k) =
Q73How many 4-digit numbers can be formed, if no digit is used more than once?
Q74How many of the 4-digit numbers can be formed, if no digit is used more than once, which are divisible by 5?
Q75The total cost of producing 5 units of output (correct up to two decimal places) is
Q76The average variable cost of producing 7 units of output (correct up to two decimal places) is
Q77The average cost of producing 9 units of output (correct up to two decimal places) is
Q78The profit-maximizing number of units of output for the firm, if the market price of the good is 6, is
Q79Suppose there are 3 alternatives x, y and z; and four individuals 1, 2, 3 and 4. The individuals' rankings (orderings) of the three alternatives…
Q80With a positive externality
Q81A circle of area A passes through the points (8, 0) and (0, 6). Then we must have
Q82For what value(s) of the parameter m does the equation -2x² + mx = 2 have one solution only?
Q83The Cash Reserve Ratio refers to
Q84The probability that Mr. A will be booked for illegal parking in the central market is 1/3. During the last nine days, Mr. A has illegally parked…
Q85The primary deficit refers to
Q86The money multiplier in an economy increases with
Q87Market demand function is given by
Q88Let the market equilibrium price be denoted by p*. Then
Q89Let A be the set {f(x) | 0 < x < 1}. What does it mean if we say that y is not an element of A?
Q90Which of the following statements is false?
Q91The person who cheated in the examination was
Q92The accomplice of the person who cheated in the examination was
Q93There are four candidates for an award— A, B, C and D Only one of the four candidates had cleared both Tests I and II. Only one candidate had…
Q94A firm has a production function q = 4x^(1/2), where q and x denote the quantities of output and input respectively. If the price of the output is…
Q95The short-run supply curve of a competitive firm is given by
Q96In situation I: Price of good X is twice the price of good Y; and the consumer spends his entire income on buying 6 units of good X and 20 units of…
Q97Let units of good 1 be measured on the horizontal axis and units of good 2 on the vertical axis. Let price of good 1 be p and price of good 2 be q.…
Q98On which day does S teach?
Q99Which subject does T teach?
Q100On which day is Economics taught?