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50+ CLAT Quantitative Techniques Questions (With Answer Key & PDF)

CLAT Quantitative Techniques Questions

The Quantitative Techniques section of the CLAT exam tests a candidate’s numerical ability and problem-solving skills. If you are doing CLAT preparation and want to understand what types of questions are asked in quantitative techniques, then this guide is for you.

Because, here, we have covered 50 CLAT Quantitative Techniques questions. We’ll explore a variety of questions with answers. Whether you’re just starting your preparation or looking to polish your skills, these quantitative techniques questions for CLAT will equip you with the tools needed to tackle this segment confidently. 

CLAT Quantitative Techniques: Overview

The Quantitative Techniques or Maths section of the CLAT (Common Law Admission Test) is designed to assess a candidate’s ability to interpret data and solve problems using numerical information. 

This section forms a crucial part of the CLAT exam, focusing on measuring the mathematical skills of law aspirants. 

Look at the CLAT 2025 Quantitative Techniques pattern:

ParticularsDetails
Number of Questions10-14
Negative Marking-0.25 (for each incorrect answer)
Difficulty Level10th Class
Types of QuestionsShort sets of facts or propositions, or other textual representations of numerical information, followed by a series of questions

CLAT Quantitative Techniques Questions

We have curated the top 50 CLAT Quantitative Techniques questions directly from previous year papers of CLAT. Each passage is followed by questions that test your ability to analyze and interpret data accurately. Dive into these examples to sharpen your skills and understand the exam’s format.

Passage 1:

“The findings of Oxfam India’s latest ‘India Discrimination Report 2022’ indicate that there is a significant gap in the earnings between men and women in the case of regular and self-employment in urban areas. The lower wages for salaried women are due to 67 percent of discrimination and 33 percent due to lack of education and work experience. The average earning is Rs. 16,000 for men and merely Rs. 6,600 for women in urban areas in self-employment. The average earning of men is Rs. 19,800 as against Rs. 15,600 for women in regular/salaried employment in urban areas. Also, in urban areas the average earnings of men (Rs. 9,000) are significantly higher than women (Rs. 5,700) even in casual employment. Apart from women, historically oppressed communities along with religious minorities also continue to face discrimination in accessing jobs, livelihoods, and agricultural credit. The mean income for Scheduled Castes or Scheduled Tribes (“SC/ST”) persons in urban areas who are in regular employment is Rs. 15,300 as against Rs. 20,300 for persons belonging to the non-SC/ST category. The average earning of self-employed workers is Rs. 15,900 for non-SC/STs and Rs. 10,500 for SC/STs. The average monthly earning for the SC/ST workers in casual work is Rs. 8,000 below the corresponding figure of Rs. 8,600 for the non-SC/ST.”

[Data Source: Oxfam India]

[Note: Values have been approximated to the nearest hundred]

Q1. Choose the correct option:

  1. Women’s average earnings in urban areas in casual work is 30% lower than that of men
  2. Men’s average earning in urban areas in self-employment is nearly 2.5 times that of earnings of women
  3. In casual work, women earn more in rural areas than in urban areas
  4. The difference in earnings of men and women in regular/salaried employment in urban areas is Rs. 3,500

Q2. Of the regular employed in urban areas, the earnings of a non-SC/ST worker is what percent more than a SC/ST worker?

  1. Between 20% and 25%
  2. Less than 15%
  3. Between 30% and 35%
  4. More than 35%

Q3. Of those in casual employment, if a man’s average earnings was deposited at a rate of 16% simple interest for 20 years, in how many years at the same rate of simple interest a SC/ST worker must deposit their average earnings to earn the same amount as a man in 20 years?

  1. 24 years
  2. 22.5 years 
  3. 21 years
  4. 23.2 years

Passage 2:

“The findings also indicate discrimination as a driving factor behind low Women’s Labour Force Participation Rate (LFPR) in the country. As per the Union Ministry of Statistics & Programme Implementation (MoSPI), LFPR for women in India was only 25.1 percent in 2020-21 for urban and rural women. This is considerably lower than South Africa where the LFPR for women is 46 percent in 2021 as per the latest World Bank estimates. The LFPR for women in India has rapidly declined from 42.7 percent in 2004-05 to mere 25.1 percent in 2020-2021 showing the withdrawal of women from the workforce despite rapid economic growth during the same period. In 2019-20, 60 percent of all males aged 15 years and more have regular salaried and self-employed jobs while 19 percent of all similarly aged females get regular and self-employment. Use the additional data in the passage above to answer this and the next question.”

Q4. If the number of women in India in 2020-2021 is 670 million which is 24% more than in 2004-2005, what is the difference in the number of women in LFPR 2004-05 and 2021?

  1. Less than 5 crores
  2. Between 6 and 8 crores
  3. Between 10 and 12 crores
  4. More than 15 crores

Q5. In 2019-20, if the number of males aged 15 years and more is 76% of the total male population and the number of females aged 15 years and more is 72% of the total female population and the total male population is 1.05 times the total female population, what is the ratio of females to males aged 15 years and more that have regular salaried and self-employed jobs?

  1. 2 : 7
  2. 3 : 10
  3. 5 : 9
  4. 1 : 3

Passage 3:

“World fruit production went up 54 percent between 2000 and 2019, to 883 million tonnes. Five fruit species accounted for 57 percent of the total production in 2019, down from 63 percent in 2000. Use the data in the passage to answer the following questions.”

[Data source: fao]

Q6. What was the world fruit production in 2000?

  1. 474 million tonnes
  2. 517 million tonnes
  3. 573 million tonnes
  4. 406 million tonnes

Q7. Of the five fruit species mentioned in the passage above, the share of bananas and plantains increased by 1 percentage point between 2000 and 2019, watermelons in 2019 was 6 percentage points lower than bananas and plantains in 2000, apples remained stable at 10%, and the percentage share of oranges and grapes reduced to half of bananas in 2019. What was the percentage of bananas and plantains in 2019?

  1. 17%
  2. 18%
  3. 16%
  4. 21%

Q8. Of the watermelons in 2000, one-eighth perished, one-fifth of the remaining was sold to be juiced and 30% of the remaining was exported. If the percentage share of oranges in 2000 was equal to the percentage share of watermelons in 2019, how many watermelons were retained for home sale and consumption?

  1. 39.2 million tonnes
  2. 1.6 million tonnes
  3. 16.8 million tonnes
  4. 2.7 million tones

Q9. Assume that all grapes and apples were sold through a single organisation in 2000. Grapes and apples were sold to 4 different customers such that a certain quantity of apples were sold to the first customer, same number of apples were sold to the second customer as to the first and a certain number of grapes were sold to that customer after which apples were over. Twice the quantity of grapes sold to the second was sold to the third customer and twice the quantity sold to the third was sold to the fourth customer. The total quantity of grapes is equal to the total quantity of apples sold and the remaining grapes were stored. How many grapes were sold to each customer?

  1. 19.1 million tonnes
  2. 8.2 million tonnes
  3. 28.6 million tonnes
  4. 9.4 million tonnes

Q10. Frutopia and Fruitfix both sold oranges at the same selling price. However, Frutopia gave customers a 15% discount on the marked price whereas Fruitfix sold the oranges for a discount of 20% on the marked price. If the marked price of oranges on Frutopia is ` 75/kg, what is the marked price of oranges on Fruitfix?

  1. Rs. 78
  2. Rs. 82
  3. Rs. 90
  4. Rs. 80

Passage 4:

“Players are selected for Judo based on their body weights from the following 10 weight groups:

1.  (48 kg – 52 kg) 6. (68 kg – 72 kg)

2.  (52 kg – 56 kg) 7. (72 kg – 76 kg)

3.  (56 kg – 60 kg) 8. (76 kg – 80 kg)

4.  (60 kg – 64 kg) 9. (80 kg – 84 kg)

5.  (64 kg – 68 kg) 10. (84 kg – 88 kg)

The average weight of the players after selecting one player from each group is 68 kg. If one of the players (named S) leaves the team, their average weight comes down to 66.5 kg.”

Q11. Player S is from the weight group:

  1. 1
  2. 9
  3. 5
  4. 10

Q12. If S leaves the group and two new players join the group, their average weight increases to 68 kg. These players can NOT be from groups:

  1. 1 and 3
  2. Both from group 7
  3. 4 and 10
  4. 5 and 9

Q13. What is the average weight of all the players taken together?

  1. 68 kg
  2. 66 kg
  3. 69 kg
  4. Cannot be determined

Q14. In the average of all the groups together, which group contributes most in overall average?

  1. 10
  2. 8
  3. 1
  4. Cannot be determined

Q15. If one of the new two players is from group 4, which group the other player is from?

  1. 5
  2. 7
  3. 10
  4. None of the above

Passage 5:

“As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. Data regarding students opting for various streams viz., Non-Medical, Medical, Commerce, Arts and Fine Arts showed that 25% of the enrolled students opted non-medical and the percentage of girls in Non-Medical was 30% of the total number of girls; 15% of the total students opted for Medical and the percentage of girls who opted Medical was 18% of the total number of girls; 25% of the total students opted Arts but the percentage of girls who opted for Arts was 15% of the total number of girls; 16% of the total students opted Commerce and the percentage of girls who opted Commerce was 17% of the total number of girls, and; 19% of the total students opted Fine Arts and the percentage of girls who opted Fine Arts was 20% of the total number of girls.”

Q16. How many girls have opted Non-Medical?

  1. 440
  2. 365
  3. 530
  4. 510

Q17. Girls have outnumbered boys in Fine Arts. How many girls in Fine Arts are more than the boys, as a percentage of total number of boys in Fine Arts?

  1. 49.62%
  2. 47.82%
  3. 51.23%
  4. 50.89%

Q18. Which of the following courses have been opted by maximum number of boys?

  1. Non-Medical
  2. Arts
  3. Fine Arts
  4. Commerce

Q19. Which of the following courses have been opted by minimum number of boys?

  1. Medical
  2. Fine Arts
  3. Commerce
  4. Non-Medical

Q20. What is the ratio among boys and girls for Non-Medical?

  1. 3 : 17
  2. 17 : 8
  3. 8 : 17
  4. 17 : 3

Passage 6:

An Indian company, having its registered office at Gurugram, is engaged in manufacturing of consumer goods at Noida. The goods manufactured by the company are sold in Indian market and exported to Europe. Company produces five products namely ‘P’, ‘Q’, ‘R’, ‘S’ and ‘T’. Total production of the company for the financial year 2021-22 is 3,000 tonnes and the turnover of the company is ‘ Rs. 50 million. An analysis of the production and net revenue generation shows that production of product ‘P’ is 21% of the total production and 18% of the turnover is attributable to product ‘P’; production of ‘Q’ is 16% of the total production and 17% of the turnover is attributable to ‘Q’; ‘R’ accounts for 18% of the total production and 20% of the turnover; ‘S’ accounts for 20% of the total production and 25% of the turnover, and; ‘T’ accounts for 25% of total production and 20% of turnover.

Q21. What is the percentage of profit earned from sale of ‘R’, if the expenditure incurred on production of ‘R’ is ‘ 15,000/- per tonne?

  1. 20%
  2. 23.46%
  3. 26.55%
  4. 25%

Q22. Which product has the highest selling price per tonne?

  1. Q
  2. R
  3. S
  4. T

Q23. How much loss is incurred to company, if the expenditure on production of ‘T’ was ‘ 20,000 per tonne?

  1. 5 million
  2. 10 million
  3. 4 million
  4. 7 million

Q24. What percentage of turnover of ‘R’ has to turnover of ‘T’?

  1. 100%
  2. 75%
  3. 50%
  4. 60%

Q25. What is the average selling price per tonne of all products taken together?

  1. Rs. 17,488
  2. Rs. 17,667
  3. Rs.  18,667
  4. Rs. 16,667

Passage 7:

“In an organization, the total number of employees working in various Departments viz. IT, Marketing, Purchase, HR, Accounts and Production are 4,500. The information regarding department wise percentage of employees was collected and also record about gender ratio of employees was prepared. 18 percent of total number of employees work in IT department and ratio of males to females in IT department is 2 : 1. In Marketing, ratio of males to females is 2 : 3 and number of employees engaged in marketing is 20% of the total employment. 12% of the total numbers of workers are running the HR department and the ratio of males to females in this department is 5 : 1. The fraction of male to females in production department is 3 : 2 and total number of persons employed in this department is 15% of the total workforce. The number of persons occupied in purchase and accounts department is 24% and 11% respectively of the total number of workers. Gender Ratio (Ratio of males to females) in Purchase department is 1:1 and in Accounts is 1:2.”

Q26. How many females are employed in Purchase department?

  1. 450
  2. 540
  3. 495
  4. 595

Q27. How many employees are working in IT and Accounts departments together?

  1. 1,702
  2. 1,646
  3. 1,766
  4. 1,305

Q28. What is the ratio of total number of males to total number of females working in all the departments put together?

  1. 63 : 41
  2. 19 : 27
  3. 41 : 34
  4. 34 : 41

Q29. Number of females in Marketing Department forms what percentage of the total number of employees in the organization?

  1. 8%
  2. 7%
  3. 12%
  4. 10%

Q30. What is the ratio of number of males in Marketing Department to the number of males in HR department?

  1. 4 : 5
  2. 5 : 4
  3. 7 : 3
  4. 6 : 7

Passage 8:

Automobiles are the most preferred mode of transport because they allow us to cover large distance quickly. Resultantly, vehicles have been developed that run on diesel, petrol and even on electricity, which is a remarkable innovative development. During a survey about the percentage wise distribution of cars in four different states, the information regarding ratio between the diesel engine cars, petrol engine cars and electric cars was collected. Total number of cars for which data was collected was 8000. Of these, State 1 had 15% of the total cars in the ratio of 3:4:1 (diesel, petrol and electric); State 2 had 20% of the total cars in the ratio of 5:3:2 (diesel, petrol and electric); State 3 had 30% of the total cars in the ratio of 4:5:3 (diesel, petrol and electric), and; State 4 had 35% of the total cars in the ratio of 7:5:2 (diesel, petrol and electric).

Based on the above information, answer the following questions.

Q31. If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?

  1. 380
  2. 240
  3. 220
  4. 180

Q32. Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?

  1. 4.67%
  2. 9.23%
  3. 3.33%
  4. 6.67%

Q33. What is the ratio of diesel cars in State 4 to electric cars in State 3? 

  1. 7:3
  2. 3:7
  3. 7:4
  4. 4:7

Q34. Compute the percentage of total electric cars to total cars in all the States.

  1. 19.37%
  2. 18.37%
  3. 18.73%
  4. 19.57%

Q35. What is the difference between number of petrol cars in State 3 and diesel cars in State 1?

  1. 350
  2. 400
  3. 500
  4. 550

Q36. What is the average number of diesel cars in all the States?

  1. 810
  2. 862.5
  3. 886
  4. 912.5

Passage 9:

A survey was conducted about the population of a particular region having working population of three lacs and information was collected about self-employed persons, casual wage workers, regular salaries employees of both urban and rural areas of the region. Self-employment is a key source of income in both rural and urban areas but it is more prevalent in rural areas (56% of the rural population) than in urban areas (40% of the urban population). Rural population was 48% of the total population. Regular salaried workers in urban areas were 48% of the urban population whereas in rural areas, regular salaried workers constituted 12% of the rural population. During the survey, the casual wage workers were found to be more common in rural areas than in urban areas. Casual wage workers in rural areas were 32% of the rural population whereas it was 12% of the urban population in urban areas.

Based on the above information, answer the following questions.

Q37. By what percentage the number of self-employed workers in rural areas is more than the number of self-employed workers in urban areas?

  1. 29.23
  2. 33.24
  3. 35.01
  4. 34.32

Q38. What is the ratio of urban and rural working population?

  1. 12:13
  2. 11:12
  3. 13:12
  4. 03:08

Q39. If urban population of the region increased from 52% to 56% and percentage of self employed in urban region remains same, then number of self-employed people in urban areas are:

  1. 66840
  2. 68640
  3. 62700
  4. 67200

Q40. What is the total number of regular salaried employees of the region?

  1. 90216
  2. 91260
  3. 92160
  4. 96210

Q41. What is the percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?

  1. 72.3%
  2. 79.8%
  3. 88.7%
  4. 92.3%

Q42. If 60% of the total working population of the region were self-employed in rural areas and 40% of total population were self-employed in urban areas, then what is the ratio of rural self-employed to urban self-employed?

  1. 2:3
  2. 3:2
  3. 13:18
  4. 18:13 4

Passage 10:

Two renowned international Software companies, namely Pollaris and Contigent, started their business in the year 2007 and both the companies were in competition with each other in profit making. Pollaris earned 30 per cent prof it in the year 2007 and 2008, and further increased it to 40 per cent in 2009. However, its profit percentage decreased to 20 per cent in the year 2010. On the other hand, Contigent opened with 40 per cent profit in 2007, but slowly decreased to 35 per cent in 2008 and 30 per cent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 per cent in 2011 and 50 per cent in 2012; simultaneously, Contigent increased its profit percentage to 45 per cent in 2010, 50 per cent in 2011 and reached 60 per cent in the year 2012. As there is a need to understand the income and expenditure for the better performance of both companies in the future, answer the following questions.

Q43. What is the increase in profit of Contigent Company in percentage from year 2011 to 2012?

  1. 10%
  2. 20%
  3. 15%
  4. Cannot be determined.

Q44. What percentage of the total profit making of Pollaris Company in 2011 and 2012 is the total profit making of Contigent Company in 2007 and 2008?

  1. 113.3%
  2. 95.3%
  3. 90.3%
  4. 133.3%

Q45. If the income of Contigent Company in 2008 was ₹ 200 crores, what was its profit in 2009?

  1. ₹ 21.5 Crore
  2. ₹ 46.15 Crore
  3. ₹ 153 Crore
  4. Cannot be determined.

Q46. What is the difference between the company with highest annual average profit percentage and that of the company with lowest annual average profit percentage?

  1. 5.17
  2. 8.33
  3. 9.17
  4. 4.33

Q47. What is the percentage increase in profit of Pollaris Company from year 2010 to 2011?

  1. 42.86
  2. 75
  3. 175
  4. Cannot be determined.

Passage 11:

A newly formed state government wants to bring more development in the state. Therefore, the government proposed to launch various welfare programmes. Before bringing up any welfare programme, the state government intended to understand the population percentage of the state by age groups, so that the government could plan the welfare programmes accordingly. The state government found that the state’s 30 per cent of the population were children between the age group of 0-15. Next to child population, 17.75 per cent of the population were adolescents between the age group of 16 and 25. The early adult population, i.e., the age groups 26 to 35 were 17.25 per cent, 36 to 45 were 14.50 per cent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 per cent and the elderly population of the state, i.e., 56 to 65 (5.12%) and 66 above (1.13%) was comparatively less than the other age groups. To get a better clarity, the state government concerned is seeking the answers to following questions:

Q48. Out of every 5,600 persons, what is the number of persons below the age of 26 years?

  1. 2515
  2. 1746
  3. 1660
  4. 2674

Q49. There are 400 million people below 36 years. How many million (approx.) people are in the age group 56-65?

  1. 32.72 million
  2. 25.75 million
  3. 31.50 million
  4. 59.30 million

Q50. If the difference between the number of people in the age groups 46-55 and 26-35 is 15.75 million, then total population of the state is approximately?

  1. 360.23 million
  2. 390 million
  3. 400 million
  4. 525 million

Q51. Which age group accounts for the maximum population in the state?

  1. 16 to 25
  2. 26 to 35
  3. 36 to 45
  4. None of the above.

Complete Answer Key for CLAT QT Questions

Question No.Answer
Q1B
Q2C
Q3D
Q4B
Q5A
Q6C
Q7B
Q8A
Q9D
Q10D
Q11B
Q12A
Q13D
Q14D
Q15C
Q16D
Q17B
Q18B
Q19A
Q20C
Q21B
Q22C
Q23A
Q24A
Q25D
Q26B
Q27D
Q28C
Q29C
Q30A
Q31C
Q32D
Q33A
Q34B
Q35D
Q36B
Q37A
Q38C
Q39D
Q40C
Q41D
Q42B
Q43B
Q44A
Q45D
Q46C
Q47B
Q48D
Q49C
Q50D
Q51D

CLAT Quantitative Techniques Questions PDF

Click on the link below to download the PDF of CLAT quantitative techniques questions with answer key:

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Types of Quantitative Techniques Questions in CLAT

1. Comparison and Percentage Analysis

These questions require candidates to analyze numerical data to determine percentages, ratios, or direct comparisons between different groups or categories. 

2. Multiplicative Comparison

Questions that ask candidates to compare quantities in a multiplicative manner are common. 

3. Economic and Social Data Interpretation

These questions are grounded in real-world contexts, often involving economic or social data, requiring candidates to interpret and analyze statistics related to employment, earnings, or demographic changes.

4. Interest Calculations in Financial Contexts

Applying mathematical formulas to financial contexts, such as calculating simple interest, is another common question type in the CLAT QT section. 

5. Demographic and Statistical Projections

Questions may involve projecting or calculating changes over time based on given statistics. 

Also read: CLAT Legal Reasoning Questions and Answers (Real Questions With PDF)

Tips to Solve Quantitative Techniques Questions in CLAT 2025

Solving Mathematics questions in the CLAT exam requires a strategic approach and thorough preparation. 

1. Understand the Basics

Before tackling complex problems, ensure you have a solid grasp of basic mathematical concepts including percentages, ratios, averages, and simple interest calculations. These fundamentals form the backbone of most Quantitative Techniques questions.

2. Develop Speed and Accuracy

Time is a crucial factor in the CLAT exam. Work on your speed and accuracy by timing yourself while practicing. The goal is to solve questions correctly within the shortest possible time. Use shortcuts and mental math techniques where applicable to save time. For this, take CLAT mock tests regularly.

3. Read Questions Carefully

Pay close attention to the wording of questions. A common mistake is misinterpreting what is asked, especially under exam pressure. Practice reading questions thoroughly to understand exactly what is required before starting your calculations.

3. Practice with Mock Tests

Taking regular mock tests of CLAT can help simulate the experience of the actual exam. This not only aids in time management but also helps in identifying areas of strength and weakness. Analyze your performance in these tests to refine your strategy.

4. Review Errors

After practicing or taking a CLAT mock test, spend adequate time reviewing your errors. Understanding why you got a question wrong is crucial for learning and avoiding the same mistakes in the future.

5. Stay Updated with Formulas

Keep a handy list of essential formulas and review them regularly. Being quick at recalling necessary formulas during the exam can significantly speed up your problem-solving process.

6. Manage Exam Stress

Develop strategies to manage stress and maintain focus during the exam. Techniques such as deep breathing or brief mental breaks can help manage anxiety and improve concentration during the test.

7. Allocate Time Wisely

In the CLAT 2025 or CLAT 2026 exam, quickly gauge the difficulty of each question. Spend more time on questions that you are sure of getting right and skip those that seem too time-consuming initially. You can always come back to the tougher questions if time permits.

Common Mistakes to Avoid

  • Misreading the Question
  • Ignoring Units
  • Calculation Errors
  • Overlooking Data
  • Wrong Formula Application
  • Excessive Rounding Off
  • Time Mismanagement
  • Lack of Practice with Variety
  • Not Reviewing Mistakes

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