CLAT UG question bank

Quantitative Techniques MCQs for CLAT UG

CLAT UG Quantitative Techniques questions 1-23 of 310, with answer keys and explanations covering percentages, ratios, averages, profit and loss, tables, charts, numerical comparison, and data caselets.

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Practice passage-based CLAT UG questions with answers for English, current affairs, legal reasoning, logical reasoning, and quantitative techniques.

  • ASEAN Integration Projects5
  • Bank Lending Targets5
  • Bicycle Sharing Data5
  • Book Fair Sales5
  • Book Fair Ticket Revenue5
  • Bus Routes and Occupancy5
  • Civic Survey Participation5
  • Community Clinic Visits5
  • Community Health Camps5
  • Community Radio Reach5
  • Conference Registration Data5
  • Cooperative Deposit Mobilisation5
  • Cooperative Loan Repayment5
  • Cooperative Produce Sales5
  • Cost, Output, and Data Interpretation5
  • Court Mediation Outcomes5
  • Cyclone Shelter Capacity5
  • Disaster Relief Kit Distribution5
  • District Education Budget5
  • Emergency Medical Supplies5
  • Export Order Completion5
  • Flood Relief Kit Distribution5
  • Food Distribution Centres5
  • Forest Patrol Coverage5
  • G20 Climate Grant Use5
  • Household Electricity Use5
  • Household Waste Segregation5
  • Independent Publisher Sales5
  • Irrigation Water Use5
  • Journal Access Uptake5
  • Language Dataset Allocation5
  • Legal Aid Case Disposal5
  • Legal Aid Clinic Cases5
  • Library Workshops5
  • Manuscript Digitisation Centres5
  • Metro Passenger Revenue5
  • Museum Ticket Data5
  • Naval Training Completion5
  • Online Course Completion5
  • Percentages, Ratios, and Averages5
  • Production and Defect Rates5
  • Rail Freight Delivery5
  • Rail Passenger Data5
  • Rainwater Harvesting Data5
  • Renewable Energy Output5
  • Research Grant Utilisation5
  • Reservoir Data and Percentages5
  • Sales, Costs, and Profit5
  • Scholarship Applications and Awards5
  • Scholarship Fund Allocation5
  • Scholarships and Averages5
  • Solar Installations5
  • Solar Plant Generation5
  • Sports Academy Training Hours5
  • Sports Facility Usage5
  • Sports Grant Utilisation5
  • Tax Helpdesk Resolution5
  • Training Programme Completion5
  • Voter Turnout and Percentages5
  • Warehouse Storage Use5
  • Wetland Restoration Budget5
  • Youth Sports Participation5
Passage or principleOriginal data interpretation caselet

A district reading programme operated four community centres in April. The centres recorded the following data: North Centre: 240 registered learners, 75 percent attendance, and 1,260 books borrowed. South Centre: 180 registered learners, 80 percent attendance, and 1,008 books borrowed. East Centre: 300 registered learners, 60 percent attendance, and 1,440 books borrowed. West Centre: 200 registered learners, 90 percent attendance, and 1,260 books borrowed. Attendance refers to the number of registered learners who attended at least one session during April. Assume that the stated percentages produce whole numbers. For questions involving books per attending learner, use the attendance figure calculated from the given percentage.

Question 1EasyPercentages, Ratios, and Averages

How many registered learners attended at least one session across all four centres?

  1. A

    648

  2. B

    684

  3. C

    702

  4. D

    736

View answer and explanation

Correct answer: B. 684

Option B is correct. Attendance was 240 x 75% = 180, 180 x 80% = 144, 300 x 60% = 180, and 200 x 90% = 180. The total was 180 + 144 + 180 + 180 = 684.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 2MediumPercentages, Ratios, and Averages

What was the ratio of attending learners at South Centre to attending learners at East Centre?

  1. A

    3:4

  2. B

    4:3

  3. C

    5:6

  4. D

    4:5

View answer and explanation

Correct answer: D. 4:5

Option D is correct. South had 144 attending learners and East had 180. The ratio 144:180 simplifies by dividing both terms by 36, giving 4:5.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 3EasyPercentages, Ratios, and Averages

What was the average number of books borrowed per centre?

  1. A

    1,242

  2. B

    1,224

  3. C

    1,260

  4. D

    1,280

View answer and explanation

Correct answer: A. 1,242

Option A is correct. Total borrowing was 1,260 + 1,008 + 1,440 + 1,260 = 4,968 books. Dividing by four centres gives an average of 1,242.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 4MediumPercentages, Ratios, and Averages

Which centre recorded the highest number of books borrowed per attending learner?

  1. A

    North Centre

  2. B

    South Centre

  3. C

    East Centre

  4. D

    West Centre

View answer and explanation

Correct answer: C. East Centre

Option C is correct. North had 1,260/180 = 7, South had 1,008/144 = 7, East had 1,440/180 = 8, and West had 1,260/180 = 7 books per attending learner.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 5HardPercentages, Ratios, and Averages

If East Centre increased its attendance rate from 60 percent to 75 percent with registrations unchanged, how many additional learners would attend?

  1. A

    30

  2. B

    45

  3. C

    60

  4. D

    75

View answer and explanation

Correct answer: B. 45

Option B is correct. The increase is 15 percent of 300 registered learners. Therefore, additional attendance would be 300 x 15/100 = 45 learners.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Passage or principleOriginal data interpretation caselet

A housing cooperative installed rooftop solar systems on three buildings. The installation and first-year performance data were as follows: Building P had 80 panels. Each panel cost Rs. 25,000 and generated 400 units of electricity during the year. Building Q had 120 panels. Each panel cost Rs. 24,000 and generated 375 units during the year. Building R had 100 panels. Each panel cost Rs. 27,000 and generated 450 units during the year. The cooperative received a subsidy equal to 20 percent of the total installation cost across the three buildings. For this caselet, ignore maintenance expenses and assume that every unit of electricity generated replaced electricity that would otherwise have cost Rs. 8 per unit.

Question 6EasyCost, Output, and Data Interpretation

How many units of electricity did the three buildings generate in total during the year?

  1. A

    112,000

  2. B

    118,000

  3. C

    120,000

  4. D

    122,000

View answer and explanation

Correct answer: D. 122,000

Option D is correct. Building P generated 80 x 400 = 32,000 units, Q generated 120 x 375 = 45,000 units, and R generated 100 x 450 = 45,000 units. The total was 122,000 units.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 7MediumCost, Output, and Data Interpretation

What was the total installation cost after applying the 20 percent subsidy?

  1. A

    Rs. 56,80,000

  2. B

    Rs. 57,60,000

  3. C

    Rs. 60,64,000

  4. D

    Rs. 72,00,000

View answer and explanation

Correct answer: C. Rs. 60,64,000

Option C is correct. Costs were Rs. 20,00,000 for P, Rs. 28,80,000 for Q, and Rs. 27,00,000 for R, totalling Rs. 75,80,000. After a 20 percent subsidy, 80 percent remained: Rs. 75,80,000 x 0.8 = Rs. 60,64,000.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 8MediumCost, Output, and Data Interpretation

What was the value of electricity generated by Building R at Rs. 8 per unit?

  1. A

    Rs. 3,20,000

  2. B

    Rs. 3,60,000

  3. C

    Rs. 4,00,000

  4. D

    Rs. 4,50,000

View answer and explanation

Correct answer: B. Rs. 3,60,000

Option B is correct. Building R generated 100 x 450 = 45,000 units. At Rs. 8 per unit, the value was 45,000 x 8 = Rs. 3,60,000.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 9MediumCost, Output, and Data Interpretation

What was the ratio of the first-year electricity generation of Building P to that of Building Q?

  1. A

    32:45

  2. B

    8:15

  3. C

    16:25

  4. D

    4:5

View answer and explanation

Correct answer: A. 32:45

Option A is correct. Building P generated 32,000 units and Q generated 45,000 units. The ratio 32,000:45,000 simplifies to 32:45.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Question 10HardCost, Output, and Data Interpretation

What was the average first-year generation per panel across all three buildings?

  1. A

    375 units

  2. B

    390 units

  3. C

    400 units

  4. D

    About 407 units

View answer and explanation

Correct answer: D. About 407 units

Option D is correct. Total generation was 122,000 units from 80 + 120 + 100 = 300 panels. The weighted average was 122,000/300 = 406.67 units, or about 407 units per panel.

Source note: Original LexMentor CLAT UG Batch 1. Structure reviewed against the official CLAT UG 2025 question paper and CLAT UG 2026 syllabus.

Passage or principleOriginal data interpretation caselet

Four reservoirs had the following storage capacities and recorded levels on 1 July: Reservoir A: capacity 240 million litres, filled to 75 percent. Reservoir B: capacity 180 million litres, filled to 60 percent. Reservoir C: capacity 300 million litres, filled to 80 percent. Reservoir D: capacity 280 million litres, filled to 50 percent. During July, each reservoir supplied water equal to 20 percent of its 1 July stored volume. Ignore rainfall, evaporation, and other inflows or outflows unless a question states otherwise.

Question 11EasyReservoir Data and Percentages

What was the total stored volume across all four reservoirs on 1 July?

  1. A

    648 million litres

  2. B

    668 million litres

  3. C

    688 million litres

  4. D

    708 million litres

View answer and explanation

Correct answer: B. 668 million litres

B is correct: A stored 180, B 108, C 240, and D 140 million litres. Their total was 668 million litres.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 12MediumReservoir Data and Percentages

What was the ratio of stored water in Reservoir B to Reservoir D on 1 July?

  1. A

    27:35

  2. B

    35:27

  3. C

    18:25

  4. D

    54:65

View answer and explanation

Correct answer: A. 27:35

The stored volumes were 108 and 140. The ratio 108:140 simplifies to 27:35, so A is correct.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 13EasyReservoir Data and Percentages

How much water did Reservoir C supply during July?

  1. A

    40 million litres

  2. B

    44 million litres

  3. C

    48 million litres

  4. D

    60 million litres

View answer and explanation

Correct answer: C. 48 million litres

C is correct. Reservoir C stored 300 x 80% = 240 million litres and supplied 20% of that, which is 48 million litres.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 14MediumReservoir Data and Percentages

How much water remained in Reservoir A after its July supply?

  1. A

    132 million litres

  2. B

    136 million litres

  3. C

    140 million litres

  4. D

    144 million litres

View answer and explanation

Correct answer: D. 144 million litres

D is correct. A stored 180 million litres and retained 80% after supplying 20%, giving 144 million litres.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 15HardReservoir Data and Percentages

Reservoir B received an additional 18 million litres after July supply. What percentage of its capacity was then filled?

  1. A

    50 percent

  2. B

    58 percent

  3. C

    60 percent

  4. D

    64 percent

View answer and explanation

Correct answer: B. 58 percent

B is correct. B retained 108 x 80% = 86.4 million litres, then reached 104.4. Dividing 104.4 by 180 gives 58 percent.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Passage or principleOriginal data interpretation caselet

A student cooperative sold notebooks in three months: January: 600 notebooks at Rs. 50 each. February: 750 notebooks at Rs. 48 each. March: 900 notebooks at Rs. 52 each. The production cost was Rs. 32 per notebook in January and February, and Rs. 35 per notebook in March. Monthly fixed expenses were Rs. 6,000. Assume every notebook produced was sold and profit equals revenue minus production cost minus fixed expenses.

Question 16EasySales, Costs, and Profit

What was the cooperative's total revenue over the three months?

  1. A

    Rs. 1,06,800

  2. B

    Rs. 1,10,400

  3. C

    Rs. 1,11,600

  4. D

    Rs. 1,12,800

View answer and explanation

Correct answer: D. Rs. 1,12,800

D is correct. Revenue was Rs. 30,000, Rs. 36,000, and Rs. 46,800, totalling Rs. 1,12,800.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 17MediumSales, Costs, and Profit

What was the profit in February?

  1. A

    Rs. 4,000

  2. B

    Rs. 5,000

  3. C

    Rs. 6,000

  4. D

    Rs. 8,000

View answer and explanation

Correct answer: C. Rs. 6,000

C is correct. Revenue was Rs. 36,000, production cost was 750 x 32 = Rs. 24,000, and fixed expense was Rs. 6,000. Profit was Rs. 6,000.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 18MediumSales, Costs, and Profit

What was the average number of notebooks sold per month?

  1. A

    700

  2. B

    750

  3. C

    800

  4. D

    850

View answer and explanation

Correct answer: B. 750

B is correct. Total sales were 600 + 750 + 900 = 2,250 notebooks. Dividing by three gives 750.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 19HardSales, Costs, and Profit

By how much did March profit exceed January profit?

  1. A

    Rs. 4,500

  2. B

    Rs. 5,100

  3. C

    Rs. 5,700

  4. D

    Rs. 6,300

View answer and explanation

Correct answer: A. Rs. 4,500

A is correct. January profit was 30,000 - 19,200 - 6,000 = Rs. 4,800. March profit was 46,800 - 31,500 - 6,000 = Rs. 9,300. The difference was Rs. 4,500.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Question 20HardSales, Costs, and Profit

If April production cost is Rs. 36 per notebook, selling price is Rs. 48, and fixed expenses remain Rs. 6,000, how many notebooks must be sold to break even?

  1. A

    400

  2. B

    450

  3. C

    480

  4. D

    500

View answer and explanation

Correct answer: D. 500

D is correct. Contribution per notebook is Rs. 48 - Rs. 36 = Rs. 12. Break-even sales are 6,000/12 = 500 notebooks.

Source note: Original LexMentor CLAT UG Batch 2, prepared in the official passage-based format.

Passage or principleOriginal data interpretation caselet

Four wards recorded the following electoral data: Ward A: 8,000 registered voters, 75 percent turnout. Ward B: 6,000 registered voters, 80 percent turnout. Ward C: 10,000 registered voters, 60 percent turnout. Ward D: 5,000 registered voters, 70 percent turnout. Valid votes were 95 percent of votes cast in each ward. Assume all calculated values are whole numbers.

Question 21EasyVoter Turnout and Percentages

How many voters cast votes across all four wards?

  1. A

    19,800

  2. B

    20,300

  3. C

    20,800

  4. D

    21,300

View answer and explanation

Correct answer: B. 20,300

B is correct: 6,000 + 4,800 + 6,000 + 3,500 = 20,300 votes cast.

Source note: Original LexMentor CLAT UG Batch 3, prepared in the official passage-based format.

Question 22MediumVoter Turnout and Percentages

How many valid votes were recorded in Ward A?

  1. A

    5,400

  2. B

    5,600

  3. C

    5,700

  4. D

    5,850

View answer and explanation

Correct answer: C. 5,700

C is correct. Ward A cast 6,000 votes and 95 percent were valid, giving 5,700.

Source note: Original LexMentor CLAT UG Batch 3, prepared in the official passage-based format.

Question 23EasyVoter Turnout and Percentages

What was the ratio of votes cast in Ward B to Ward D?

  1. A

    48:35

  2. B

    35:48

  3. C

    24:17

  4. D

    8:7

View answer and explanation

Correct answer: A. 48:35

A is correct because 4,800:3,500 simplifies to 48:35.

Source note: Original LexMentor CLAT UG Batch 3, prepared in the official passage-based format.

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