CUET UG Economics Booster Test 2 - Consumer Budget Constraints -

🚀

CUET UG Economics Booster Test 2 - Consumer Budget Constraints

⏱️ 30 Minutes

❓ 20 Questions

📌 Answers are locked once submitted — results and explanations appear at the end.

CUET UG Economics Booster Test 2 - Consumer Budget Constraints

1 / 20

QUESTION 1 OF 20

Arrange the logical sequence for defining a consumer's budget set:
1. The budget set is formed, representing the collection of all affordable bundles.
2. Market prices for two goods are given alongside a fixed consumer income.
3. The consumer identifies which combinations of the two goods cost less than or equal to her income.

Answer Review

1 Arrange the logical sequence for defining a consumer's budget set:
1. The budget set is formed, representing the collection of all affordable bundles.
2. Market prices for two goods are given alongside a fixed consumer income.
3. The consumer identifies which combinations of the two goods cost less than or equal to her income.

A 2, 3, 1

B 1, 2, 3

C 3, 2, 1

D 2, 1, 3

💡 Short Explanation

Prices and income are given first. Affordable bundles are identified. These bundles together form the budget set.

✅ Correct Answer Explanation

The budget set is determined after knowing the consumer's income and the prices of goods. The consumer then identifies all bundles that cost less than or equal to her income. These affordable bundles collectively form the budget set. Thus, the correct sequence is 2 → 3 → 1.

❓ Why Other Options Are Incorrect

Option B: Budget set cannot be formed before knowing prices and income.
Option C: Affordable bundles cannot be identified before prices and income are known.
Option D: Budget set is formed only after identifying affordable bundles.

🎯 Strategy

Used

Sequence

🧠 Memory Trick

Prices + Income → Affordable Bundles → Budget Set

📚 Consumer's Equilibrium – Budget Set

2 Assertion (A): The budget set of a consumer changes only when her income changes.
Reason (R): The consumption bundles that are available to the consumer depend on the prices of the two goods and the income of the consumer.

A Both A and R are true and R is the correct explanation of A.

B Both A and R are true but R is not the correct explanation of A.

C A is true, R is false.

D A is false, R is true.

💡 Short Explanation

Budget set depends on income and prices. A change in either affects affordability. Hence, the assertion is incorrect.

✅ Correct Answer Explanation

The budget set depends on both the consumer's income and the prices of goods. Therefore, it changes not only when income changes but also when the price of either good changes. Hence, the Assertion is false, while the Reason correctly states the factors affecting the budget set.

❓ Why Other Options Are Incorrect

Option A: Assertion is false.
Option B: Assertion is false.
Option C: Reason is true.

🎯 Strategy

Used

Assertion–Reason

🧠 Memory Trick

Budget Set = Income + Prices

📚 Consumer's Equilibrium – Budget Set Determinants

3 If a consumer with Rs. 20 buys bundles (0, 4) or (2, 2) costing exactly Rs. 20, which of the following statements apply to these bundles?
I. They lie exactly on the budget line.
II. They form part of the budget set.
III. They represent points where income M is not fully spent.

A I and II only

B II and III only

C I and III only

D I, II, and III

💡 Short Explanation

Total expenditure equals income. Such bundles lie on the budget line. Entire income is spent.

✅ Correct Answer Explanation

Bundles costing exactly equal to the consumer's income lie on the budget line and are part of the budget set. Since the consumer spends the entire income, Statement III is incorrect. Therefore, only Statements I and II are correct.

❓ Why Other Options Are Incorrect

Option B: Statement III is false.
Option C: Statement III is false.
Option D: Income is fully spent, so Statement III is incorrect.

🎯 Strategy

Used

Multi-correct

🧠 Memory Trick

Cost = Income → On Budget Line

📚 Consumer's Equilibrium – Budget Line and Budget Set

4 Match the algebraic forms to their components for the budget line equation (p₁x₁ + p₂x₂ = M).

List I	List II
1. x₂	a. The dependent variable plotted on the vertical axis
2. −p₁/p₂	b. The slope of the straight line
3. M/p₂	c. Vertical intercept
4. p₁x₁ + p₂x₂ = M	d. Budget line equation

A 1-b, 2-a, 3-c, 4-d

B 1-a, 2-b, 3-c, 4-d

C 1-c, 2-d, 3-a, 4-b

D 1-d, 2-c, 3-b, 4-a

💡 Short Explanation

x₂ is the dependent variable. ��p₁/p₂ is the slope. M/p₂ gives the vertical intercept.

✅ Correct Answer Explanation

The budget line equation is: p₁x₁ + p₂x₂ = M Rearranging, x₂ = M/p₂ − (p₁/p₂)x₁ Thus: x₂ is the dependent (vertical-axis) variable. −p₁/p₂ represents the slope. M/p₂ gives the vertical intercept. p₁x₁ + p₂x₂ = M is the budget line equation. Hence, the correct matching is 1-a, 2-b, 3-c, 4-d.

❓ Why Other Options Are Incorrect

Option A: Interchanges x₂ and slope.
Option C: Incorrectly matches multiple expressions.
Option D: Budget equation and intercepts are mismatched.

🎯 Strategy

Used

Match the Following

🧠 Memory Trick

y = c + mx → x₂ = Intercept + Slope × x₁

📚 Consumer's Equilibrium – Budget Line Equation

5 Consider a budget of Rs. 20 with prices Rs. 5 for each good. Match the bundles to their cost status.

List I	List II
1. Bundle (1,1)	a. Costs exactly Rs. 20
2. Bundle (3,1)	b. Costs strictly less than Rs. 20
3. Bundle (2,2)	c. Costs exactly Rs. 20
4. Bundle (4,1)	d. Costs more than Rs. 20

A 1-b, 2-a, 3-c, 4-d

B 1-a, 2-b, 3-c, 4-d

C 1-b, 2-c, 3-a, 4-d

D 1-c, 2-b, 3-a, 4-d

💡 Short Explanation

Cost = (Bananas × 5) + (Mangoes × 5). Compare total cost with Rs. 20. Classify each bundle accordingly.

✅ Correct Answer Explanation

Using Cost = 5x₁ + 5x₂: (1,1) → Rs.10 → Costs less than Rs.20. (3,1) → Rs.20 → Costs exactly Rs.20. (2,2) → Rs.20 → Costs exactly Rs.20. (4,1) → Rs.25 → Costs more than Rs.20. Hence, the correct matching is 1-b, 2-a, 3-c, 4-d.

❓ Why Other Options Are Incorrect

Option B: Misclassifies Bundle (1,1).
Option C: Incorrectly swaps exact-cost bundles.
Option D: Incorrectly classifies Bundle (1,1).

🎯 Strategy

Used

Match the Following

🧠 Memory Trick

Total Cost = Price × Quantity (Add Both Goods)

📚 Consumer's Equilibrium – Budget Set and Affordable Bundles

6 Which of the following bundles would NOT be part of the budget set for a consumer with Rs. 20, if bananas and mangoes both cost Rs. 5 per unit?

A (1, 2)

B (4, 0)

C (3, 2)

D (2, 2)

💡 Short Explanation

Budget = Rs. 20. Each good costs Rs. 5. Bundle (3,2) costs Rs. 25, so it is unaffordable.

✅ Correct Answer Explanation

Total cost = Rs. 5 × bananas + Rs. 5 × mangoes. (1,2) = Rs. 15, affordable. (4,0) = Rs. 20, affordable. (3,2) = Rs. 25, not affordable. (2,2) = Rs. 20, affordable. Therefore, (3,2) is not part of the budget set.

❓ Why Other Options Are Incorrect

Option A: Costs Rs. 15, so it is affordable.
Option B: Costs Rs. 20, so it lies on the budget line.
Option D: Costs Rs. 20, so it lies on the budget line.

🎯 Strategy

Used

Concept MCQ

🧠 Memory Trick

Budget Set = Cost ≤ Income

📚 Consumer's Equilibrium – Budget Set

7 If the consumer spends her entire income on bananas, the quantity of bananas she can afford is determined solely by dividing her income M by _________.

A p₂

B The price of mangoes

C p₁

D The marginal utility

💡 Short Explanation

All income is spent on bananas. Banana price is p₁. Maximum bananas = M / p₁.

✅ Correct Answer Explanation

The horizontal intercept shows the maximum quantity of bananas the consumer can buy if the entire income is spent only on bananas. Since the price of bananas is p₁, the formula is: Maximum bananas = M / p₁

❓ Why Other Options Are Incorrect

Option A: p₂ is the price of mangoes.
Option B: Mango price determines the vertical intercept.
Option D: Marginal utility does not determine the intercept.

🎯 Strategy

Used

Statement Completion

🧠 Memory Trick

Bananas → p₁ → M/p₁

📚 Consumer's Equilibrium – Horizontal Intercept of Budget Line

8 Which statements correctly describe the horizontal intercept (M/p₁)?
I. It is the maximum amount of good 1 the consumer can buy.
II. At this point, the quantity of good 2 consumed is zero.
III. It changes if the price of good 2 changes.

A I and II only

B II and III only

C I and III only

D I, II, and III

💡 Short Explanation

Horizontal intercept shows maximum good 1. Good 2 quantity is zero there. It depends on M and p₁, not p₂.

✅ Correct Answer Explanation

The horizontal intercept is M/p₁, where the consumer spends all income on good 1. Therefore, it gives the maximum amount of good 1 that can be purchased. Since all income is spent on good 1, the quantity of good 2 is zero. Statement III is incorrect because M/p₁ changes only when income M or price of good 1 p₁ changes.

❓ Why Other Options Are Incorrect

Option B: Statement I is correct and Statement III is incorrect.
Option C: Statement II is correct and Statement III is incorrect.
Option D: Statement III is incorrect.

🎯 Strategy

Used

Multi-correct

🧠 Memory Trick

Horizontal Intercept = M/p₁ = Max Good 1

📚 Consumer's Equilibrium – Budget Line Intercepts

9 If a consumption bundle is plotted strictly on the vertical axis of the budget set diagram, her consumption of bananas (x₁) is strictly equal to _________.

A M/p₁

B p₁/p₂

C Zero

D M/p₂

💡 Short Explanation

Vertical axis represents mangoes. A point on the vertical axis has no bananas. Therefore, x₁ = 0.

✅ Correct Answer Explanation

In a two-good diagram, bananas are represented on the horizontal axis as x₁ and mangoes on the vertical axis as x₂. Any bundle plotted strictly on the vertical axis has no horizontal component. Therefore, banana consumption x₁ = 0.

❓ Why Other Options Are Incorrect

Option A: M/p₁ is the horizontal intercept.
Option B: p₁/p₂ is the price ratio.
Option D: M/p₂ is the vertical intercept value, not x₁.

🎯 Strategy

Used

Statement Completion

🧠 Memory Trick

Vertical Axis = x₁ is Zero

📚 Consumer's Equilibrium – Vertical Intercept of Budget Line

10 If Income (M) = Rs. 40 and the price of mangoes (p₂) = Rs. 8, the vertical intercept of the budget line is:

A 40

B 8

C 5

D 32

💡 Short Explanation

Vertical intercept = M/p₂. M = 40 and p₂ = 8. 40 ÷ 8 = 5.

✅ Correct Answer Explanation

The vertical intercept shows the maximum quantity of mangoes the consumer can buy if the entire income is spent on mangoes. Formula: Vertical intercept = M / p₂ Substitution: 40 / 8 = 5 Therefore, the vertical intercept is 5 mangoes.

❓ Why Other Options Are Incorrect

Option A: This is income, not the intercept.
Option B: This is the price of mangoes.
Option D: This is 40 − 8, not M/p₂.

🎯 Strategy

Used

Concept Equation

🧠 Memory Trick

Maximum Mangoes = Income ÷ Mango Price

📚 Consumer's Equilibrium – Vertical Intercept of Budget Line

11 Arrange the mathematical derivation of the budget line's slope from the standard straight-line equation:
1. Note the equation y = c + mx.
2. Rearrange p₁x₁ + p₂x₂ = M into x₂ = M/p₂ − (p₁/p₂)x₁.
3. Identify the slope m as −p₁/p₂.

A 1, 2, 3

B 2, 1, 3

C 3, 2, 1

D 1, 3, 2

💡 Short Explanation

Start with the standard straight-line equation. Rewrite the budget equation in slope-intercept form. Identify the slope as −p₁/p₂.

✅ Correct Answer Explanation

The budget equation is: p₁x₁ + p₂x₂ = M It is rearranged into: x₂ = M/p₂ − (p₁/p₂)x₁ Comparing this with the standard equation y = c + mx, the slope (m) is −p₁/p₂. Hence, the correct sequence is 1 → 2 → 3.

❓ Why Other Options Are Incorrect

Option B: Rearranges before introducing the standard equation.
Option C: Identifies the slope before deriving it.
Option D: Slope cannot be identified before rewriting the equation.

🎯 Strategy

Used

Sequence

🧠 Memory Trick

Standard Form → Rearrange → Find Slope

📚 Consumer's Equilibrium – Slope of the Budget Line

12 The budget line slopes downwards because if a consumer wants more bananas while spending her entire income, she must logically _________ her expenditure on mangoes.

A Increase

B Maintain

C Reduce

D Ignore

💡 Short Explanation

Income is fixed. More spending on bananas leaves less for mangoes. Hence, expenditure on mangoes must decrease.

✅ Correct Answer Explanation

The consumer has a fixed income. If she purchases more bananas while spending her entire income, she must spend less on mangoes. This trade-off causes the budget line to slope downward. Therefore, the correct answer is Reduce.

❓ Why Other Options Are Incorrect

Option A: Total expenditure cannot increase with fixed income.
Option B: Maintaining expenditure is impossible if more bananas are purchased.
Option D: Mango expenditure cannot be ignored under a budget constraint.

🎯 Strategy

Used

Statement Completion

🧠 Memory Trick

More of One Good → Less of the Other

📚 Consumer's Equilibrium – Budget Line

13 Match the economic rate with its source.

List I	List II
1. Rate at which consumer is willing to substitute goods	a. Slope of the Indifference Curve (MRS)
2. Rate at which consumer is able to substitute goods in the market	b. Slope of the Budget Line
3. Consumer's personal preference	c. Marginal Rate of Substitution (MRS)
4. Market exchange opportunity	d. Price Ratio (p₁/p₂)

A 1-a, 2-b, 3-c, 4-d

B 1-b, 2-a, 3-d, 4-c

C 1-c, 2-d, 3-a, 4-b

D 1-d, 2-c, 3-b, 4-a

💡 Short Explanation

Willingness is measured by MRS. Ability is measured by the budget line. Market substitution depends on the price ratio.

✅ Correct Answer Explanation

The consumer's willingness to substitute one good for another is measured by the Marginal Rate of Substitution (MRS), represented by the slope of the indifference curve. The consumer's ability to substitute goods in the market is determined by the budget line, whose slope equals the price ratio. Personal preference is reflected through MRS. Market exchange opportunity depends on the price ratio (p₁/p₂). Therefore, the correct matching is 1-a, 2-b, 3-c, 4-d.

❓ Why Other Options Are Incorrect

Option B: Reverses willingness and ability.
Option C: Incorrectly matches market concepts.
Option D: Incorrectly matches all concepts.

🎯 Strategy

Used

Match the Following

🧠 Memory Trick

Willing = MRS, Able = Budget Line

📚 Consumer's Equilibrium – MRS and Budget Line

14 Arrange the steps explaining the market substitution rate magnitude:
1. One additional banana costs p₁.
2. The consumer must reduce expenditure on mangoes by p₁.
3. With p₁ amount, she could buy p₁/p₂ quantities of mangoes, representing the exact sacrifice required.

A 1, 2, 3

B 2, 3, 1

C 3, 1, 2

D 1, 3, 2

💡 Short Explanation

Buying another banana costs p₁. That amount must come from mango expenditure. The sacrifice equals p₁/p₂ mangoes.

✅ Correct Answer Explanation

When the consumer purchases one more banana: She spends p₁ on that banana. Since income is fixed, she must reduce spending on mangoes by p₁. Because each mango costs p₂, she sacrifices p₁/p₂ mangoes. Hence, the correct sequence is 1 → 2 → 3.

❓ Why Other Options Are Incorrect

Option B: Begins with the consequence instead of the cause.
Option C: Starts with the final calculation.
Option D: Calculates sacrifice before reducing expenditure.

🎯 Strategy

Used

Sequence

🧠 Memory Trick

Cost → Reduce Spending → Calculate Sacrifice

📚 Consumer's Equilibrium – Market Rate of Substitution

15 A change in income with prices remaining unchanged alters both intercepts but keeps the _________ of the budget line identical, resulting in a parallel shift.

A Total Utility

B Convexity

C Slope

D Tangency

💡 Short Explanation

Income changes both intercepts. Prices remain unchanged. Therefore, the slope remains the same.

✅ Correct Answer Explanation

The slope of the budget line depends only on the price ratio (−p₁/p₂). When income changes but prices remain constant: Both intercepts change. The slope remains unchanged. Therefore, the budget line shifts parallel inward or outward.

❓ Why Other Options Are Incorrect

Option A: Utility does not determine the budget line.
Option B: Budget lines are straight, not convex.
Option D: Tangency relates to consumer equilibrium, not income changes.

🎯 Strategy

Used

Statement Completion

🧠 Memory Trick

Income Changes → Shift; Prices Change → Slope

📚 Consumer's Equilibrium – Effect of Income on Budget Line

16 What occurs when the consumer's income goes down (M' < M) with constant prices?

A I and II only

B II and III only

C I and III only

D I, II, and III

💡 Short Explanation

Lower income reduces purchasing power. Budget line shifts inward in parallel. Fewer consumption bundles become affordable.

✅ Correct Answer Explanation

When the consumer's income decreases while prices remain unchanged: Both the horizontal and vertical intercepts decrease because the consumer can afford fewer units of both goods. The budget line shifts parallel inward since its slope (determined by prices) remains unchanged. As a result, the consumer's budget set becomes smaller, reducing the number of affordable bundles. Hence, all three statements are correct.

❓ Why Other Options Are Incorrect

Option A: Ignores that affordability of goods decreases.
Option B: Omits the decrease in both intercepts.
Option C: Omits the inward parallel shift.

🎯 Strategy

Used

Multi-correct

🧠 Memory Trick

Income ↓ → Inward Shift → Smaller Budget Set

📚 Consumer's Equilibrium – Effect of Income on Budget Line

17 Assertion (A): If the price of bananas increases, the budget line becomes steeper.
Reason (R): An increase in p₁ increases the absolute value of the slope, meaning the horizontal intercept decreases.

A Both A and R are true and R is the correct explanation of A

B Both A and R are true but R is not the correct explanation of A

C A is true, R is false

D A is false, R is true

💡 Short Explanation

Higher banana price reduces affordable bananas. Horizontal intercept decreases. Budget line becomes steeper.

✅ Correct Answer Explanation

When the price of bananas (p₁) increases: The maximum quantity of bananas that can be purchased (M/p₁) decreases. The absolute value of the slope (p₁/p₂) increases. Therefore, the budget line pivots inward around the vertical intercept and becomes steeper. Thus, both the Assertion and the Reason are true, and the Reason correctly explains the Assertion.

❓ Why Other Options Are Incorrect

Option B: The Reason directly explains the Assertion.
Option C: The Reason is true.
Option D: The Assertion is also true.

🎯 Strategy

Used

Assertion–Reason

🧠 Memory Trick

Banana Price ↑ → Slope ↑ → Budget Line Steeper

📚 Consumer's Equilibrium – Effect of Price Change on Budget Line

18 Arrange the effects of a decrease in the price of bananas (p'₁ < p₁):
1. The absolute value of the slope decreases.
2. The horizontal intercept increases.
3. The budget line becomes flatter and pivots outwards around the vertical intercept.

A 1, 2, 3

B 2, 1, 3

C 3, 2, 1

D 2, 3, 1

💡 Short Explanation

Banana price falls. Slope decreases and horizontal intercept increases. Budget line becomes flatter.

✅ Correct Answer Explanation

When the price of bananas decreases: The absolute value of the slope decreases. The consumer can buy more bananas with the same income, increasing the horizontal intercept. Consequently, the budget line pivots outward around the vertical intercept and becomes flatter. Thus, the correct order is 1 → 2 → 3.

❓ Why Other Options Are Incorrect

Option B: Places the intercept change before the slope change.
Option C: Begins with the final result instead of the cause.
Option D: Incorrect logical order.

🎯 Strategy

Used

Sequence

🧠 Memory Trick

Price ↓ → Slope ↓ → More Bananas → Flatter Line

📚 Consumer's Equilibrium – Effect of Price Change on Budget Line

📄 Passage

"If such a point exists, where would it be located? The optimum point would be located on the budget line. A point below the budget line cannot be the optimum. Compared to a point below the budget line, there is always some point on the budget line which contains more of at least one of the goods and no less of the other, and is, therefore, preferred by a consumer whose preferences are monotonic..."

According to the passage, why can a point strictly below the budget line NOT be the consumer's optimum?

A Because it costs more than the consumer's income.

B Because monotonic preferences dictate that a bundle on the budget line with more goods is always preferred.

C Because it represents a negative quantity of goods.

D Because indifference curves do not exist below the budget line.

💡 Short Explanation

Monotonic preferences imply "more is better." Budget-line bundles dominate interior bundles. Therefore, below-line bundles cannot be optimal.

✅ Correct Answer Explanation

Under monotonic preferences, consumers always prefer bundles containing more of at least one good and no less of the other. Any bundle below the budget line leaves some income unspent, meaning there exists another affordable bundle on the budget line with more of at least one good. Therefore, a point below the budget line cannot be the consumer's optimum choice.

❓ Why Other Options Are Incorrect

Option A: Bundles below the budget line cost less than income.
Option C: Quantities are not negative.
Option D: Indifference curves can pass below the budget line.

🎯 Strategy

Used

Passage-Based MCQ

🧠 Memory Trick

Monotonic Preferences = More Goods → Better Bundle

📚 Consumer's Equilibrium – Optimum Bundle under Monotonic Preferences

📄 Passage

Based on the passage, why doesn't the consumer simply choose a point above the budget line to maximize satisfaction?

A Because those points offer lower utility.

B Because the marginal utility of goods at those points is negative.

C Because points above the budget line are not available to the consumer.

D Because it would violate the law of diminishing marginal rate of substitution.

💡 Short Explanation

Above-budget bundles exceed income. They are unaffordable. Hence, they cannot be chosen.

✅ Correct Answer Explanation

A point above the budget line represents a bundle whose total cost is greater than the consumer's available income. Since such bundles are outside the budget set, they are not affordable and therefore cannot be chosen, even if they provide higher satisfaction.

❓ Why Other Options Are Incorrect

Option A: Higher utility may exist, but affordability is the constraint.
Option B: Marginal utility is unrelated to affordability.
Option D: MRS does not determine whether a bundle is affordable.

🎯 Strategy

Used

Passage-Based MCQ

🧠 Memory Trick

Above Budget Line = Beyond Income = Cannot Buy

📚 Consumer's Equilibrium – Budget Set and Budget Line

CUET UG Economics Booster Test 2 - Consumer Budget Constraints

Test Complete!

Answer Review