Maths Questions From CLAT 2027 Official Mock Test: Detailed Solutions, Difficulty Level

CLAT 2027 Mock Test Maths Questions With Answers and Solutions

Passage I (Q111 to Q115)

A survey of daily wages among agricultural labourers in four states recorded the following average wages. In State A, male labourers earned ₹420 per day and female labourers earned ₹315. In State B, the corresponding figures were ₹500 and ₹350. In State C, men earned ₹640 while women earned ₹480. In State D, men earned ₹360 and women earned ₹324. The survey also found that 2,000 male and 1,500 female agricultural labourers were employed in State A, while State B employed 1,200 male and 1,800 female labourers. For the purpose of the following questions, assume these figures are accurate and that each labourer works 25 days in a month.

(Q111–115) Given Data (Simplification of Passage)

Number of labourers: State A: 2,000 male and 1,500 female. State B: 1,200 male and 1,800 female.

Assumption: each labourer works 25 days in a month.

Q111. In which state is the percentage difference between male and female daily wages the highest?

(A) State A (B) State B (C) State C (D) State D

Answer: (B) State B

Solution: Percentage difference = (Male wage − Female wage) ÷ Male wage × 100

• State A: (420 − 315) ÷ 420 = 105 ÷ 420 = 25%
• State B: (500 − 350) ÷ 500 = 150 ÷ 500 = 30%
• State C: (640 − 480) ÷ 640 = 160 ÷ 640 = 25%
• State D: (360 − 324) ÷ 360 = 36 ÷ 360 = 10%

State B has the highest gap at 30%. Even if the female wage is taken as the base, State B is still highest (about 42.86%, against 33.33% for A and C and 11.11% for D).

Q112. What is the monthly wage of a female agricultural labourer in State C, if she works 25 days?

(A) ₹10,000 (B) ₹11,500 (C) ₹12,000 (D) ₹16,000

Answer: (C) ₹12,000

Solution: Female daily wage in State C = ₹480

Monthly wage = 480 × 25 = ₹12,000

Q113. In State A, what is the total daily wage paid to all the male agricultural labourers surveyed?

(A) ₹7,20,000 (B) ₹8,40,000 (C) ₹8,00,000 (D) ₹6,30,000

Answer: (B) ₹8,40,000

Solution: Male labourers in State A = 2,000, and each earns ₹420 per day.

Total daily wage = 2,000 × 420 = ₹8,40,000

Q114. In State B, what is the ratio of total daily wages paid to female labourers to total daily wages paid to male labourers?

(A) 21:20 (B) 5:4 (C) 3:2 (D) 7:6

Answer: (A) 21:20

Solution:

• Total daily wages of females = 1,800 × 350 = ₹6,30,000
• Total daily wages of males = 1,200 × 500 = ₹6,00,000

Ratio = 6,30,000 : 6,00,000 = 63 : 60 = 21 : 20

Q115. If the daily wage of female labourers in State D increases by 10%, what will be their new daily wage?

(A) ₹340 (B) ₹350 (C) ₹356.40 (D) ₹360

Answer: (C) ₹356.40

Solution: Current female wage in State D = ₹324

New wage = 324 × 1.10 = 324 + 32.40 = ₹356.40

Passage II (Q116 to Q120)

A household has a total monthly income of ₹48,000. It allocates 30% of its income to food, 20% to rent, 12% to education, 10% to transport, 8% to healthcare and 5% to entertainment. The remaining amount is saved. In the following month, the household income rises by 5%, while the amount spent on rent and education remains unchanged. Food expenditure rises by 8%, transport expenditure falls by 10%, and healthcare and entertainment expenditure remain unchanged. Savings in the second month are calculated as the difference between the new income and total expenditure.

Original monthly budget

Q116. How much does the household save each month under the original budget?

(A) ₹6,720 (B) ₹7,200 (C) ₹7,680 (D) ₹8,400

Answer: (B) ₹7,200

Solution: Total spending share = 30 + 20 + 12 + 10 + 8 + 5 = 85%

Savings share = 100% − 85% = 15%

Savings = 15% of 48,000 = ₹7,200

Q117. What is the original monthly expenditure on education?

(A) ₹4,800 (B) ₹5,200 (C) ₹5,760 (D) ₹6,000

Answer: (C) ₹5,760

Solution: Education = 12% of 48,000 = 0.12 × 48,000 = ₹5,760

Q118. What is the household's new monthly income after the 5% increase?

(A) ₹49,200 (B) ₹50,000 (C) ₹50,400 (D) ₹52,800

Answer: (C) ₹50,400

Solution: New income = 48,000 × 1.05 = 48,000 + 2,400 = ₹50,400

Q119. What is the new monthly food expenditure after the 8% increase?

(A) ₹12,960 (B) ₹15,552 (C) ₹14,400 (D) ₹15,120

Answer: (B) ₹15,552

Solution: Original food expenditure = 30% of 48,000 = ₹14,400

New food expenditure = 14,400 × 1.08 = 14,400 + 1,152 = ₹15,552

Q120. What are the household's savings in the second month?

(A) ₹8,928 (B) ₹8,160 (C) ₹8,400 (D) ₹9,120

Answer: (A) ₹8,928

Solution: Work out each expense for the second month:

Savings = New income − Total expenditure = 50,400 − 41,472 = ₹8,928

CLAT 2027 Official Mock Test Maths Answer Key

CLAT 2027 Mock Test Maths Section Analysis

• Overall level: Easy to moderate. Every question could be solved with basic percentage, ratio and multiplication.

• Passage I: Direct, data-based questions. Q111 needed a comparison across four states, while Q112 to Q115 were one- or two-step calculations.

• Passage II: Q116 to Q119 were quick one-step questions. Q120 was the longest, because it needed the full revised budget.

• Suggested strategy: Attempt Passage I first for quick marks. In Passage II, reuse the original budget figures (food and transport) from earlier questions in Q120, instead of recalculating from scratch.

Important Concepts and Formulas for CLAT Maths

• Percentage change = (New value − Old value) ÷ Old value × 100

• Percentage difference (as used in Q111) = (Higher − Lower) ÷ Higher × 100

• Increase by x% = Old value × (1 + x/100); decrease by x% = Old value × (1 − x/100)

• Ratio of totals = (Number × Rate) of one group : (Number × Rate) of the other

• Savings = Income − Total expenditure

Common Mistakes to Avoid

• Taking the wrong base when working out percentage difference or change.

• Forgetting to multiply the daily wage by 25 days for a monthly figure (Q112).

• Mixing up male and female figures across states while calculating totals (Q113, Q114).

• Applying the 5% income rise to the expenses as well. Only food and transport change in Passage II.