CUET UG Economics Booster Test 3 - Utility Analysis Fundamentals
π Answers are locked once submitted β results and explanations appear at the end.
QUESTION 1 OF 20
Match the theories with their critical characteristics according to the text:
| List I | List II |
|---|---|
| 1. Cardinal Utility Analysis | a. Suffers from the drawback of quantifying utility in numbers |
| 2. Ordinal Utility Analysis | b. Consumer ranks consumption bundles without assigning numbers |
| 3. Cardinal Approach | c. Utility is measured quantitatively |
| 4. Ordinal Approach | d. Utility is expressed through preference ranking |
QUESTION 2 OF 20
In Cardinal Utility, the change in total utility due to consumption of one additional unit of a commodity is formally expressed by the formula:
MUn = ____________.
QUESTION 3 OF 20
If MUβ = β2 and MUβ = 0, what is the mathematical relationship between TUβ and TUβ?
QUESTION 4 OF 20
Arrange the states of Total Utility conceptually as aggregate consumption increases, assuming typical consumption behavior:
1. Total utility starts falling.
2. Total utility increases but at a diminishing rate.
3. Total utility remains constant.
QUESTION 5 OF 20
Which of the following analytical conditions correctly describe the dynamics of Marginal Utility?
I. MU becomes negative when TU begins to fall.
II. MU is zero when TU remains constant.
III. MU diminishes with an increase in consumption of the commodity.
QUESTION 6 OF 20
By definition, if a downward-sloping demand curve exists, its explanation rests on the notion that each successive unit of a commodity provides ____________ marginal utility.
QUESTION 7 OF 20
The equation TUβ = MUβ + MUβ + β¦ + MUβ mathematically means that:
QUESTION 8 OF 20
Assertion (A): Adding the MU of the 5th unit (0) to the TU of the 4th unit (24) yields a TU of 24 for the 5th unit.
Reason (R): Successive unit addition implies that when MU becomes zero, total utility remains constant.
QUESTION 9 OF 20
Match the consumption behavior with its demand curve effect.
| List-I | List-II |
|---|---|
| 1. Diminishing marginal utility from successive units | a. Explains why demand curves have a negative slope |
| 2. The individual pays less for the 6th unit than the 5th | b. Occurs because the 6th unit is worth less to the consumer than the 5th unit |
| 3. Marginal utility becomes zero | c. Total utility reaches its maximum |
| 4. Marginal utility becomes negative | d. Total utility begins to decline |
QUESTION 10 OF 20
Chronologically arrange the conceptual flow explaining why the law of demand operates:
1. The consumer's desire to have still more of the commodity becomes weaker.
2. The consumer is willing to buy additional units only when the price drops.
3. The consumer obtains successive units of a commodity.
4. The marginal utility provided by each successive unit diminishes.
QUESTION 11 OF 20
Because utility varies by individual preference, a rational consumer chooses her optimal consumption bundle from the budget set based on her ____________.
QUESTION 12 OF 20
The text demonstrates that utility is subjective and changes with time and place. Which analytical conclusions align with this?
I. Utility is an objective property intrinsic to the physical commodity.
II. A room heater gives different levels of utility in Ladakh vs. Chennai.
III. A room heater gives different levels of utility in summer vs. winter.
QUESTION 13 OF 20
Assertion (A): Under monotonic preferences, if bundle A has more of at least one good and no less of the other compared to bundle B, the consumer strictly prefers A over B.
QUESTION 14 OF 20
Match the bundle comparisons to their qualitative satisfaction ranking (assume combinations have the same quantity of mangoes):
| List I | List II |
|---|---|
| 1. Combination C (3 bananas, 10 mangoes) vs. Combination B (2 bananas, 10 mangoes) | a. C provides a higher level of satisfaction than B |
| 2. Combination B (2 bananas, 10 mangoes) vs. Combination A (1 banana, 10 mangoes) | b. B provides a higher level of satisfaction than A |
| 3. Same mangoes but more bananas | c. Higher-ranked bundle under monotonic preferences |
| 4. More of one good with no reduction in the other | d. Strictly preferred bundle |
QUESTION 15 OF 20
Match the theoretical rules with their outcomes on Equal Utility Points:
| List I | List II |
|---|---|
| 1. Two indifference curves intersecting | a. Leads to conflicting or absurd conclusions |
| 2. A higher indifference curve | b. Represents a higher level of satisfaction |
| 3. Non-intersecting indifference curves | c. Maintain consistency of consumer preferences |
| 4. Points on the same indifference curve | d. Provide equal satisfaction to the consumer |
QUESTION 16 OF 20
If two indifference curves, ICβ and ICβ, intersect at point A, and point B lies on ICβ while point C lies on ICβ, the false logical deduction that leads to an absurd result is that the utility of B is ____________ the utility of C.
QUESTION 17 OF 20
Which statements are analytically correct regarding the absolute value of the Marginal Rate of Substitution (MRS) at the optimum bundle?
I. It is exactly equal to the ratio of the prices (slope of the budget line).
II. It measures the rate at which the consumer is willing to substitute one good for another.
III. It is the rate at which the consumer is able to substitute one good for the other in the market.
QUESTION 18 OF 20
Arrange the logical sequence proving why the optimal bundle cannot occur where MRS is greater than the price ratio:
1. The consumer is willing to give up 2 mangoes for 1 banana (MRS = 2).
2. In the market, she only needs to give up 1 mango to buy 1 banana (Price Ratio = 1).
3. By buying an extra banana, she can have more of both goods and move to a preferred bundle.
QUESTION 19 OF 20
QUESTION 20 OF 20
Test Complete!
Answer Review
1 Match the theories with their critical characteristics according to the text:
| List I | List II |
|---|---|
| 1. Cardinal Utility Analysis | a. Suffers from the drawback of quantifying utility in numbers |
| 2. Ordinal Utility Analysis | b. Consumer ranks consumption bundles without assigning numbers |
| 3. Cardinal Approach | c. Utility is measured quantitatively |
| 4. Ordinal Approach | d. Utility is expressed through preference ranking |
Cardinal utility measures satisfaction numerically. Ordinal utility ranks preferences without numbers. Ordinal analysis overcomes the limitation of quantifying utility.
Cardinal Utility Analysis assumes that utility can be measured in numerical units, which is considered its major drawback because satisfaction cannot be measured precisely. Ordinal Utility Analysis avoids this problem by simply ranking consumption bundles according to the consumer's preferences rather than assigning numerical values.
- Option B: Reverses Cardinal and Ordinal concepts.
- Option C: Incorrectly matches quantitative and ranking approaches.
- Option D: Mismatches all the characteristics.
Used
- Match the Following
Ordinal β Order Preferences
2 In Cardinal Utility, the change in total utility due to consumption of one additional unit of a commodity is formally expressed by the formula:
MUn = ____________.
Marginal utility measures additional satisfaction. It equals the change in total utility. It is calculated by subtraction.
Marginal Utility (MU) is the additional utility obtained from consuming one more unit of a commodity. It is calculated as the difference between the total utility after consuming the nth unit and the total utility after consuming the previou MU_n = TU_n - TU{n-1}
- Option A: Division does not measure additional utility.
- Option B: Addition does not represent change.
- Option D: Multiplication has no relevance to MU.
Used
- Statement Completion
MU = New TU β Previous TU
3 If MUβ = β2 and MUβ = 0, what is the mathematical relationship between TUβ and TUβ?
Negative MU reduces total utility. Zero MU indicates maximum total utility. Therefore, TU falls after the sixth unit.
When Marginal Utility becomes zero, Total Utility reaches its maximum. If the next unit gives negative Marginal Utility (β2), Total Utility decreases. Hence, the Total Utility after consuming the sixth unit is less than the Total Utility after the fifth unit.
- Option A: Negative MU cannot increase TU.
- Option C: TU remains constant only when MU is zero.
- Option D: TU decreases by 2 units instead of increasing.
Used
- Concept Equation
MU < 0 β TU Falls
4 Arrange the states of Total Utility conceptually as aggregate consumption increases, assuming typical consumption behavior:
1. Total utility starts falling.
2. Total utility increases but at a diminishing rate.
3. Total utility remains constant.
TU first increases. It reaches a maximum and becomes constant. Then it starts declining.
Initially, each additional unit adds to Total Utility, though at a diminishing rate. When Marginal Utility becomes zero, Total Utility reaches its maximum and remains constant. Beyond this point, Marginal Utility becomes negative, causing Total Utility to decline.
- Option A: TU cannot fall before increasing.
- Option C: TU cannot remain constant initially.
- Option D: TU does not fall immediately after increasing.
Used
- Sequence
Increase β Maximum β Decrease
5 Which of the following analytical conditions correctly describe the dynamics of Marginal Utility?
I. MU becomes negative when TU begins to fall.
II. MU is zero when TU remains constant.
III. MU diminishes with an increase in consumption of the commodity.
Negative MU causes TU to fall. Zero MU keeps TU at its maximum. MU diminishes as consumption increases.
All three statements correctly describe the relationship between Total Utility and Marginal Utility. Marginal Utility declines with successive consumption due to the Law of Diminishing Marginal Utility. When MU becomes zero, Total Utility reaches its maximum. When MU becomes negative, Total Utility starts decreasing.
- Option A: Omits the diminishing nature of MU.
- Option B: Ignores the effect of negative MU.
- Option C: Omits the condition where MU equals zero.
Used
- Multi-correct
MU < 0 β TU Falls
6 By definition, if a downward-sloping demand curve exists, its explanation rests on the notion that each successive unit of a commodity provides ____________ marginal utility.
οΏ½οΏ½ Marginal utility decreases with additional consumption. οΏ½οΏ½ Consumers value successive units less. οΏ½οΏ½ This forms the basis of the downward-sloping demand curve.
- The Law of Diminishing Marginal Utility states that as a consumer consumes more units of a commodity, the additional satisfaction obtained from each successive unit decreases. β Since each additional unit provides lower marginal utility, consumers are willing to purchase more units only at lower prices. β This explains the negative slope of the demand curve. β Therefore, "Lower" marginal utility is the correct answer.
- οΏ½οΏ½ Option A β Negative marginal utility occurs only after consumption exceeds the point of satisfaction; it does not explain the entire downward-sloping demand curve.
- οΏ½οΏ½ Option C β Constant marginal utility contradicts the Law of Diminishing Marginal Utility.
- οΏ½οΏ½ Option D β Increasing marginal utility is opposite to the law and would imply a rising willingness to pay.
Used
- Elimination
Application:
- οΏ½οΏ½ Eliminate options that contradict the Law of Diminishing Marginal Utility.
Final Logic:
- οΏ½οΏ½ Successive units provide lower marginal utility; therefore, the demand curve slopes downward.
- "More Units = Less Utility"
7 The equation TUβ = MUβ + MUβ + β¦ + MUβ mathematically means that:
οΏ½οΏ½ Total utility is cumulative satisfaction. οΏ½οΏ½ Marginal utilities are added together. οΏ½οΏ½ The formula expresses the TUβMU relationship.
- Total Utility (TU) represents the total satisfaction obtained from consuming a given number of units of a commodity. β Each additional unit contributes Marginal Utility (MU). β Therefore, Total Utility is obtained by adding the marginal utility of every successive unit consumed. β Mathematically, TUβ = MUβ + MUβ + MUβ + β¦ + MUβ β Hence, Option B correctly explains the equation.
- οΏ½οΏ½ Option A β Marginal utility is not the average of total utility.
- οΏ½οΏ½ Option C β Marginal utility can become zero or even negative after the point of maximum satisfaction.
- οΏ½οΏ½ Option D β Total utility and marginal utility are related but are not always inversely proportional.
Used
- Conceptual Formula Analysis
Application:
- οΏ½οΏ½ Interpret the mathematical relationship between Total Utility and Marginal Utility using the given equation.
Final Logic:
- οΏ½οΏ½ Total Utility equals the sum of the marginal utilities of all units consumed.
- "TU = Add All MU"
8 Assertion (A): Adding the MU of the 5th unit (0) to the TU of the 4th unit (24) yields a TU of 24 for the 5th unit.
Reason (R): Successive unit addition implies that when MU becomes zero, total utility remains constant.
οΏ½οΏ½ Total Utility is the sum of Marginal Utilities. οΏ½οΏ½ When MU becomes zero, TU reaches its maximum. οΏ½οΏ½ Adding zero does not change Total Utility.
- Total Utility (TU) is calculated by adding the Marginal Utility (MU) of each successive unit. β Here, TU of the 4th unit is 24 and MU of the 5th unit is 0. β Therefore, TUβ = TUβ + MUβ = 24 + 0 = 24 β Since MU is zero, consumption of the 5th unit neither increases nor decreases Total Utility. Thus, Total Utility remains constant at its maximum level. β Hence, both the Assertion and the Reason are true, and the Reason correctly explains the Assertion.
- οΏ½οΏ½ Option B β Incorrect because the Reason directly explains why TU remains 24 after adding zero MU.
- οΏ½οΏ½ Option C β Incorrect because both the Assertion and the Reason are true.
- οΏ½οΏ½ Option D β Incorrect because the Assertion is true.
Used
- Elimination
Application:
- οΏ½οΏ½ Verify the TUβMU relationship and determine whether the Reason correctly explains the Assertion.
Final Logic:
- οΏ½οΏ½ Since TU = Previous TU + MU and MU = 0, Total Utility remains unchanged.
- "MU = 0 β TU Maximum"
9 Match the consumption behavior with its demand curve effect.
| List-I | List-II |
|---|---|
| 1. Diminishing marginal utility from successive units | a. Explains why demand curves have a negative slope |
| 2. The individual pays less for the 6th unit than the 5th | b. Occurs because the 6th unit is worth less to the consumer than the 5th unit |
| 3. Marginal utility becomes zero | c. Total utility reaches its maximum |
| 4. Marginal utility becomes negative | d. Total utility begins to decline |
οΏ½οΏ½ Marginal utility diminishes with additional consumption. οΏ½οΏ½ Lower utility reduces willingness to pay. οΏ½οΏ½ Zero MU gives maximum TU.
- According to the Law of Diminishing Marginal Utility, each additional unit consumed provides less satisfaction than the previous one. β Therefore, consumers are willing to pay less for successive units, giving the demand curve its downward slope. β When Marginal Utility becomes zero, Total Utility reaches its maximum. β If Marginal Utility becomes negative, Total Utility starts declining. β Thus, the correct matching is: 1 β a 2 β b 3 β c 4 β d
- οΏ½οΏ½ Option B β Incorrect because diminishing marginal utility explains the downward-sloping demand curve, not the willingness to pay less directly.
- οΏ½οΏ½ Option C β Incorrect because Marginal Utility becoming zero corresponds to maximum Total Utility, not reduced willingness to pay.
- οΏ½οΏ½ Option D β Incorrect because multiple matches are conceptually incorrect.
Used
- Option Grouping
Application:
- οΏ½οΏ½ Match each concept using the logical relationship between marginal utility, total utility, and consumer demand.
Final Logic:
- οΏ½οΏ½ Diminishing MU β Lower willingness to pay β MU = 0 gives maximum TU β Negative MU reduces TU.
- "Less MU β Less Price β Zero MU = Max TU"
10 Chronologically arrange the conceptual flow explaining why the law of demand operates:
1. The consumer's desire to have still more of the commodity becomes weaker.
2. The consumer is willing to buy additional units only when the price drops.
3. The consumer obtains successive units of a commodity.
4. The marginal utility provided by each successive unit diminishes.
οΏ½οΏ½ Consumption increases with successive units. οΏ½οΏ½ Marginal utility diminishes with each additional unit. οΏ½οΏ½ Consumers buy more only when prices fall.
- The process begins when the consumer consumes successive units of a commodity (3). β According to the Law of Diminishing Marginal Utility, each successive unit provides less additional satisfaction than the previous one (4). β As a result, the consumer's desire for additional units becomes weaker (1). β Therefore, the consumer is willing to purchase more units only if the price falls (2), which explains the downward-sloping demand curve. β Hence, the correct sequence is: 3 β 4 β 1 β 2
- οΏ½οΏ½ Option A β Incorrect because diminishing marginal utility (Statement 4) causes the weakening of desire (Statement 1), not the other way around.
- οΏ½οΏ½ Option B β Incorrect because the consumer must first consume successive units before the desire weakens.
- οΏ½οΏ½ Option D β Incorrect because diminishing marginal utility cannot occur before the consumer consumes successive units.
Used
- Sequence
Application:
- οΏ½οΏ½ Arrange the statements according to the logical cause-and-effect relationship underlying the Law of Diminishing Marginal Utility.
Final Logic:
- οΏ½οΏ½ Consume more β Marginal utility diminishes β Desire weakens β Price must fall for additional purchases.
- "Consume β Less Utility β Less Desire β Lower Price"
11 Because utility varies by individual preference, a rational consumer chooses her optimal consumption bundle from the budget set based on her ____________.
Utility differs from person to person. Consumers choose according to their tastes and preferences. The optimal bundle depends on both preferences and the budget.
Utility is subjective, meaning different consumers derive different levels of satisfaction from the same commodity. Therefore, a rational consumer selects the consumption bundle that best matches her tastes and preferences, while remaining within her budget constraints.
- Option A: Budget is important but preferences determine the chosen bundle.
- Option C: Ordinal utility does not require numerical measurement.
- Option D: Supply conditions do not directly determine individual preferences.
Used
- Statement Completion
Preferences decide "Will Buy"
12 The text demonstrates that utility is subjective and changes with time and place. Which analytical conclusions align with this?
I. Utility is an objective property intrinsic to the physical commodity.
II. A room heater gives different levels of utility in Ladakh vs. Chennai.
III. A room heater gives different levels of utility in summer vs. winter.
Utility varies with place. Utility also varies with time. Utility is subjective, not an inherent property of goods.
Utility depends on the circumstances of the consumer. A room heater provides greater satisfaction in Ladakh than Chennai because of climatic differences, and greater utility in winter than summer due to seasonal changes. Hence, statements II and III are correct, while statement I is incorrect because utility is subjective.
- Option A: Statement I is incorrect because utility is subjective.
- Option C: Omits the place factor.
- Option D: Statement I is false.
Used
- Multi-correct
Person β Time β Place
13 Assertion (A): Under monotonic preferences, if bundle A has more of at least one good and no less of the other compared to bundle B, the consumer strictly prefers A over B.
Monotonic preferences mean "more is better." More of one good and no less of the other is preferred. This is a basic assumption of ordinal utility theory.
Under Monotonic Preferences, consumers always prefer a bundle containing more of at least one good and no less of the other. Therefore, if Bundle A satisfies this condition relative to Bundle B, the consumer will strictly prefer Bundle A.
- Option B: Contradicts monotonic preference.
- Option C: The rule is independent of inferior goods.
- Option D: Perfect substitutes are not required.
Used
- Assertion / True-False
More Goods β More Satisfaction
14 Match the bundle comparisons to their qualitative satisfaction ranking (assume combinations have the same quantity of mangoes):
| List I | List II |
|---|---|
| 1. Combination C (3 bananas, 10 mangoes) vs. Combination B (2 bananas, 10 mangoes) | a. C provides a higher level of satisfaction than B |
| 2. Combination B (2 bananas, 10 mangoes) vs. Combination A (1 banana, 10 mangoes) | b. B provides a higher level of satisfaction than A |
| 3. Same mangoes but more bananas | c. Higher-ranked bundle under monotonic preferences |
| 4. More of one good with no reduction in the other | d. Strictly preferred bundle |
More bananas with the same mangoes increase satisfaction. Monotonic preferences imply "more is better." The bundle with more goods is preferred.
Since the quantity of mangoes remains constant, the bundle containing more bananas provides a higher level of satisfaction. Therefore, Combination C is preferred to B, and Combination B is preferred to A. This follows the assumption of monotonic preferences.
- Option B: Reverses the correct preference order.
- Option C: Incorrectly matches the monotonic preference concept.
- Option D: Mismatches all preference relationships.
Used
- Match the Following
Same Mangoes + More Bananas = Better Bundle
15 Match the theoretical rules with their outcomes on Equal Utility Points:
| List I | List II |
|---|---|
| 1. Two indifference curves intersecting | a. Leads to conflicting or absurd conclusions |
| 2. A higher indifference curve | b. Represents a higher level of satisfaction |
| 3. Non-intersecting indifference curves | c. Maintain consistency of consumer preferences |
| 4. Points on the same indifference curve | d. Provide equal satisfaction to the consumer |
Indifference curves never intersect. A higher indifference curve represents greater satisfaction. Points on the same curve give equal utility.
If two indifference curves intersect, they imply contradictory preference rankings, violating the assumptions of ordinal utility theory. A higher indifference curve represents a higher level of satisfaction, while every point on the same indifference curve provides equal satisfaction to the consumer.
- Option B: Reverses the meanings of intersecting and higher curves.
- Option C: Incorrectly matches consistency and satisfaction.
- Option D: Mismatches all theoretical concepts.
Used
- Match the Following
Intersecting Curves β Impossible
16 If two indifference curves, ICβ and ICβ, intersect at point A, and point B lies on ICβ while point C lies on ICβ, the false logical deduction that leads to an absurd result is that the utility of B is ____________ the utility of C.
Indifference curves cannot intersect. Intersection implies equal utility for different curves. This leads to a logical contradiction.
If two indifference curves intersect, the intersection point would imply that both curves represent the same level of satisfaction. Consequently, points B and C on different indifference curves would also be inferred to provide the same utility, which is impossible because different indifference curves represent different satisfaction levels. Hence, intersecting indifference curves lead to an absurd conclusion.
- Option A: The contradiction is not based on B having lower utility.
- Option B: The contradiction is not based on B having higher utility.
- Option D: Utility levels become incorrectly equal, not unrelated.
Used
- Statement Completion
IC Never Intersect β Different Curves = Different Satisfaction
17 Which statements are analytically correct regarding the absolute value of the Marginal Rate of Substitution (MRS) at the optimum bundle?
I. It is exactly equal to the ratio of the prices (slope of the budget line).
II. It measures the rate at which the consumer is willing to substitute one good for another.
III. It is the rate at which the consumer is able to substitute one good for the other in the market.
MRS measures willingness to substitute goods. At equilibrium, MRS equals the price ratio. The market determines the substitution opportunity.
Marginal Rate of Substitution (MRS) measures the rate at which a consumer is willing to substitute one good for another while maintaining the same level of satisfaction. At the optimal consumption bundle, the absolute value of MRS equals the ratio of the prices of the two goods (the slope of the budget line). This also reflects the rate at which substitution is possible in the market.
- Option A: Omits the market substitution aspect.
- Option B: Omits the equilibrium condition (MRS = Price Ratio).
- Option C: Omits the definition of MRS as willingness to substitute.
Used
- Multi-correct
Optimal Choice β MRS = Price Ratio
18 Arrange the logical sequence proving why the optimal bundle cannot occur where MRS is greater than the price ratio:
1. The consumer is willing to give up 2 mangoes for 1 banana (MRS = 2).
2. In the market, she only needs to give up 1 mango to buy 1 banana (Price Ratio = 1).
3. By buying an extra banana, she can have more of both goods and move to a preferred bundle.
Compare willingness with market exchange. MRS exceeds the market price ratio. The consumer can improve satisfaction, so equilibrium is not reached.
When the consumer is willing to sacrifice more mangoes than the market requires for an additional banana, purchasing another banana increases satisfaction without reducing utility. Therefore, the initial bundle cannot be the equilibrium bundle. Consumer equilibrium is achieved only when MRS equals the price ratio.
- Option B: Market comparison follows consumer willingness.
- Option C: Improvement cannot occur before the comparison.
- Option D: The conclusion comes only after both conditions are established.
Used
- Sequence
MRS = Price Ratio β Equilibrium
19
Imperfect substitutes exhibit diminishing MRS. Consumers sacrifice smaller amounts over time. The willingness to substitute decreases.
For ordinary goods that are not perfect substitutes, the Marginal Rate of Substitution diminishes as the consumer acquires more of one good. Consequently, the consumer is willing to sacrifice smaller and smaller quantities of the other good for each additional unit.
- Option A: A constant 1:1 trade-off applies only to perfect substitutes.
- Option B: Diminishing MRS means the sacrifice falls, not rises.
- Option D: The trade-off follows a systematic pattern.
Used
- Passage-Based MCQ
Ordinary Goods β Diminishing MRS
20
Perfect substitutes have a constant MRS. Consumers exchange them in a fixed ratio. Their indifference curve is a straight line.
Since five-rupee coins and five-rupee notes provide exactly the same satisfaction, the consumer is always willing to exchange one for the other at a constant one-to-one rate. This constant Marginal Rate of Substitution results in a downward-sloping straight-line indifference curve.
- Option A: Concave curves are not indifference curves for perfect substitutes.
- Option C: L-shaped curves represent perfect complements.
- Option D: Indifference curves always slope downward.
Used
- Passage-Based MCQ
Perfect Complements β L-Shape
