CLAT 2026 Maths Questions: Preparation for Quantitative Techniques Section

The Mathematics section in CLAT 2026 will be based on the Class 10th syllabus. The types of questions you can expect include topics like Profit and Loss, Probability, Mensuration, Basic Algebra, Ratios and Proportions, etc. To help you prepare effectively for the Quantitative Techniques section, we have compiled a list of CLAT Maths questions from previous years' papers. This will give you a clear idea of the question patterns and help you practice efficiently.

The Common Law Admission Test 2026 is expected to be held in December 2025 first week. The Consortium will release the CLAT 2026 Exam Dates in the official CLAT Notification 2026.  Being the most competitive law entrance exam in India, candidates need to be exceptionally good in all the subjects of the CLAT question paper. CLAT will include Mathematics questions under the Quantitative Techniques section, carrying 13-17 questions out of a total of 120 questions. The candidates must prepare Mathematics questions for CLAT 2026 irrespective of weightage, as the section will be included in the final score calculation.

Also Read: Idioms and Proverbs for CLAT 2026 With Meaning

110+ Important Vocabulary Words for CLAT Exam 2026

As per the exam pattern of the CLAT exam 2025, the Quantitive Techniques section contains Maths questions based on passages. Therefore, candidates are required to frame a strategy accordingly for attempting CLAT 2026 Mathematics Questions. In this article, we have mentioned CLAT Exam Mathematics Questions from previous years' papers, tips to attempt the section, as well as exam pattern and syllabus overview. 

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• How to clear CLAT 2026 in first attempt?
• CLAT PG 2025

CLAT 2026 Exam Pattern Overview

The CLAT question paper for UG course will carry section-wise questions weightage for each section as under:

Sections	MCQs per section
English Language	28-32  questions
Current Affairs including General Knowledge	35-39 questions
Logical Reasoning	28-32 questions
Legal Reasoning	35-39 question
Quantitative Techniques	13-17 questions
Total	120 questions

The total number of questions asked in CLAT section varies every year. Check out previous years CLAT exam analysis to know about the weightage of each section, as well as difficulty level. 

Also Read: CLAT Mock Test 2025

CLAT 2026 Syllabus Overview - Mathematics 

The Quantitative Techniques section of CLAT question paper will be based on the following topics from Class 10 Mathematics: 

• Number theory and basic arithmetic
• Averages and Percentages
• Ratio and Proportion
• Mixtures and alligations
• Basic Algebra 
• Time and work
• Time, distance, and speed
• Fractions and equations
• Monetary evaluations
• Probability
• Permutation and combinations

Also Read:

• CLAT exam pattern
• CLAT PG exam pattern
• CLAT Preparation Books for UG/PG

Key Topics for CLAT 2026 Mathematics

Candidates can check the key topics to prepare from to score good marks in CLAT Mathematics section below:

1. Profit and Loss:
   - Understanding cost price, selling price, profit percentage, and loss percentage.
   - Solving problems related to mark-up, discounts, and successive transactions.

2. Probability:
   - Basic concepts of probability including events, outcomes, and probability formulae.
   - Problems involving dice, cards, coins, and daily life situations.

3. Mensuration:
   - Formulas and calculations related to areas, volumes, and perimeters of different geometric shapes like circles, triangles, rectangles, cubes, and spheres.
   - Solving problems involving the surface area and volume of composite figures.

4. Basic Algebra:
   - Simplification of algebraic expressions.
   - Solving word problems that includes algebraic concepts, linear and quadratic equations
5. Ratios and Proportions:
   - Knowing the logic and concepts of ratios and proportions
   - Direct and inverse proportions problem solving

Preparation Tips

Candidates can check some tips and tricks to prepare for this section below:

1. Review Basic Concepts:
   - Start with revising the basic mathematical concepts from your Class 10th syllabus.
   - Don't just memorize, try to understand the fundamental principles too.

2. Practice Regularly:
   - Solve a variety of problems from each topic to gain proficiency.
   - Solve as many previous years' question papers as possible to get familiar with the question format.

3. Time Management:
   - Set a time limit and solve questions to improve your speed and accuracy for the exam
   - Work on quick calculation techniques to save time during the exam.
4. Mock Tests:
   - Solve mock tests on regular basis to understand your preparation level and identify the areas that needs to be worked on
   - Analyze your performance in mock tests to understand your strengths and weaknesses.

5. Clarify Doubts:
   - Do not feel shy or ashmaed to ask help for topics that you find difficult
   - Join study groups or take help from teachers to clarify your doubts.

By following these tips and practicing diligently, you can enhance your preparation for the Mathematics section of CLAT 2025. Make use of the provided previous years' questions to get a comprehensive understanding of what to expect in the exam.

CLAT Mathematics Questions 

Some of the questions from previous years CLAT question papers (based on new pattern) are as shared below: 

Passage 1

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.

What was the world fruit production in 2000?

(A) 474 million tonnes

(B) 517 million tonnes

(C) 573 million tonnes

(D) 406 million tonnes

Passage 2

The following data presents the cases of Japanese Encephalitis in five states of India. 

Questions asked from this data are as under: 

Q. Number of females affected by Japanese encephalitis in West Bengal are what percentage (up to 1 decimal) more or less than that of females affected in Odisha?

a) 28.6 % less

b) 29.7 % more

c) 26.8 % less

d) 25.8 % more 

Q. What is the average number of males affected by Japanese encephalitis in all the five states?

a) 9,000

b) 13,500

c) 18,400

d) 20,600

Q. If the total number of males affected by Japanese Encephalitis in other states are 87 % more than the average number of males in Odisha, West Bengal, Chhattisgarh and Jharkhand, the total number of males affected in India is:

a) 44,880

b) 1,40,880

c) 1,47,880

d) 68,880 

Q. By what percentage is the average of males in Chhattisgarh, Jharkhand and Andhra Pradesh together more or less than the average of females in West Bengal, Jharkhand and Odisha together who are affected by Japanese encephalitis?

a) 22

b) 24

c) 26

d) 28 

Q. What is the percentage (up to 1 decimal) of females affected by ‗Japanese encephalitis‘ of the total affected population across five states?

a) 25.4

b) 36.7

c) 24.5

d) 37.6

Passage 3

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?

(A) 39.2 million tonnes

(B) 1.6 million tonnes

(C) 16.8 million tonnes

(D) 2.7 million tonnes

Passage 4

A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following? 

Q. What would be the area of the room which is not covered by any object as mentioned above?

(a) 176.5 sq. ft.

(b) 178 sq. ft.

(c) 367 sq. ft.

(d) 245.5 sq. ft. 

Q. What is the area of the table which is uncovered by any of the objects?

(a) 1656 sq. inch

(b) 1617.52 sq. inch

(c) 1473.52 sq. inch

(d) 1512 sq. inch 

Q. How many tables are required to cover the floor surface of the room completely?

(a) 18

(b) 11

(c) 21

(d) Data inadequate. 

Q. If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required? 

(a) 2,00,736

(b) 20,736

(c) 11,736

(d) 17,522 

Q. How many chairs can be put inside the room so as to cover the entire floor area of the room? 

(a) 40

(b) 21

(c) 43

(d) 18 

Q. .If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required. 

(a) 2,00,736

(b) 20,736

(c) 11,736

(d) 17,522 

Q. How many chairs can be put inside the room so as to cover the entire floor area of the room? 

(a) 40

(b) 21

(c) 43

(d) 18 

Passage 4

Direction: In the figure given below, a goat is tied to a pole (at point O) which is the center of the semi -circular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal. 

 

Q. The length of the rope is

a. 2 π

b. 2 π/2

c. 2 2/ π

d. 2 

Q. The area of the plot is:

a. 18.13

b. 21.83

c. 28.13

d. 11.83

Q. If a triangle is created by joining points A, B, and C. What will be the length of AB? 

a. 3.73

b. 7.33

c. 1.86

d. Can‘t be calculated with the given data

Q. What will be the area of the triangle ABC?

a. 6.96
b. 9.66
c. 3.66
d. Can‘t be calculated with the given data

Q. What will be the perimeter of the triangle ABC?

a. 40.4

b. 30.3

c. 20.2

d. 10.1 

Passage 5

Two renowned international Software companies, namely Polaris and Contingent, started their business in the year 2007 and both companies were in competition with each other in profit making. Pollaris earned 30 per cent profit 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, Contingent 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:

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

(A) 10%

(B) 20%

(C) 15%

(D) Cannot be determined.

Q. 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?

(A) 113.3%

(B) 95.3%

(C) 90.3%

(D) 133.3%

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

(A) ₹ 21.5 Crore

(B) ₹ 46.15 Crore

(C) ₹ 153 Crore

(D) Cannot be determined.

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

(A) 5.17

(B) 8.33

(C) 9.17

(D) 4.33

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

(A) 42.86

(B) 75

(C) 175

(D) Cannot be determined.

Passage 6

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:

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

(A) 2515

(B) 1746

(C) 1660

(D) 2674

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

(A) 32.72 million

(B) 25.75 million

(C) 31.50 million

(D) 59.30 million

Q. If there are 20 million people in the age group 56 to 65, what is the difference between the number of people in the age groups 16-25 and 46-55?

(A) 15.6 million

(B) 12.18 million

(C) 28.4 million

(D) 34.7 million

Q. 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?

(A) 360.23 million

(B) 390 million

(C) 400 million

(D) 525 million

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

(A) 16 to 25

(B) 26 to 35

(C) 36 to 45

(D) None of the above.

Passage 7

COVID-19 pandemic turned life upside-down for many families across the world. Mr. Abhishek was working as a sale executive in a famous Marketing Company. Due to COVID19 pandemic lockdown and restrictions, Mr. Abhishek was not able to achieve his monthly targets which resulted in the reduction of his salary. So far, he spent his income lavishly without any planning and prior calculations. However, the prevailing situation compelled him to plan his expenditure to adjust his life to the present income. Therefore, he analysed his spendings of last year i.e., 2019, so that he can plan his present year 2020 spendings. Through his brief
analysis, he found that in the year 2019, he spent 23 per cent of his income on food, 15 per cent on Housing, and 12 per cent on his child’s education. For his transport, he spent 10 per cent, and for clothing of his family he spent 10 per cent. In the meanwhile, Mr. Abishek also saved 15 per cent of his income in the year 2019, and the remaining 20 per cent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

Q. If the total amount spent during the year 2019 was ₹ 56,000, what was the amount spent on food?

(A) ₹ 12,000

(B) ₹ 12,880

(C) ₹ 23,880

(D) ₹ 23,000 

Q. If the total amount spent was ₹56,000, how much money was spent on clothing and housing together? 

(A) ₹ 11,500

(B) ₹12,500

(C) ₹14,000

(D) ₹ 15,000

Q. What was the ratio of the total amount of money spent on housing to that spent on education?

(A) 5:2

(B) 2:5

(C) 4:5

(D) 5:4

Q. If the total expenditure of the family for the year 2019 was ₹56,000, what was the amount saved by the family during the year?

(A) ₹ 8,400

(B) ₹ 5,600

(C) ₹ 6,900

(D) ₹ 3,067

Q. If the total amount spent during the year 2019 was ₹ 56,000, the amount spent on other spendings and clothing together was higher than

(A) Housing and Child Education

(B) Food and Transport

(C) Food and Housing

(D) Housing and Saving

Passage 8

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. 

Q. How many girls have opted Non-medical?

(A) 440

(B) 365

(C) 530

(D) 510

Q. 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?

(A) 49.62%

(B) 47.82%

(C) 51.23%

(D) 50.89%

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

(A) Non-medical

(B) Arts

(C) Fine Arts

(D) Commerce

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

(A) medical

(B) Fine Arts

(C) Commerce

(D) Non-medical

Q. What is the ratio among boys and girls for Non-medical?

(A) 3 : 17

(B) 17 : 8

(C) 8 : 17

(D) 17 : 3

Passage 9

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. 

Q. How many females are employed in Purchase department?

(A) 450

(B) 540

(C) 495

(D) 595

Q. How many employees are working in it and Accounts departments together?

(A) 1,702

(B) 1,646

(C) 1,766

(D) 1,305

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

(A) 63 : 41

(B) 19 : 27

(C) 41 : 34

(D) 34 : 41

Q. Number of females in marketing department forms what percentage of the total number of employees in the organization?

(A) 8%

(B) 7%

(C) 12%

(D) 10%

Q. What is the ratio of number of males in marketing department to the number of males in HR department? 

(A) 4 : 5

(B) 5 : 4

(C) 7 : 3

(D) 6 : 7

Passage 9

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 ₹16,000 for men and merely ₹ 6,600 for women in urban areas in self-employment. The average earning of men is ₹19,800 as against ₹15,600 for women in regular/salaried employment in urban areas. Also, in urban areas the average earnings of men (₹9,000) are significantly higher than women ( ₹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 ₹15,300 as against ₹20,300 for persons belonging to the non-SC/ST category. The average earning of self-employed workers is ₹15,900 for non-SC/STs and ₹10,500 for SC/STs. The average monthly earning for the SC/ST workers in casual work is ₹8,000 below the corresponding figure of ₹8,600 for the non-SC/ST.

[Data Source: Oxfam India]

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

Q. Choose the correct option:

(A) Women’s average earnings in urban areas in casual work is 30% lower than that of men

(B) Men’s average earning in urban areas in self-employment is nearly 2.5 times that of earnings of women

(C) In casual work, women earn more in rural areas than in urban areas

(D) The difference in earnings of men and women in regular/salaried employment in urban areas is ₹3,500

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

(A) Between 20% and 25%

(B) Less than 15%

(C) Between 30% and 35%

(D) More than 35%

Q. 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?

(A) 24 years

(B) 22.5 years

(C) 21 years

(D) 23.2 years

Passage 10

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. 

Q. 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?

(A) Less than 5 crores

(B) Between 6 and 8 crores

(C) Between 10 and 12 crores

(D) More than 15 crores

Q. 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?

(A) 2 : 7

(B) 3 : 10

(C) 5 : 9

(D) 1 : 3

Passage 11

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]

Q. What was the world fruit production in 2000?

(A) 474 million tonnes

(B) 517 million tonnes

(C) 573 million tonnes

(D) 406 million tonnes

Q. 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?

(A) 17%

(B) 18%

(C) 16%

(D) 21%

Q. 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?

(A) 39.2 million tonnes

(B) 1.6 million tonnes

(C) 16.8 million tonnes

(D) 2.7 million tonnes

Q. 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?

(A) 19.1 million tonnes

(B) 8.2 million tonnes

(C) 28.6 million tonnes

(D) 9.4 million tonnes

Q.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?

(A) ₹78

(B) ₹ 82

(C) ₹ 90

(D) ₹ 80

Passage 12

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, the 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 the 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?

19.1 million tonnes

8.2 million tonnes

28.6 million tonnes

9.4 million tonnes

 

Passage 13

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. 

Q. Player S is from the weight group: 

(A) 1 

(B) 9

(C) 5

(D) 10

Q. 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:

(A) 1 and 3

(B) Both from group 7

(C) 4 and 10

(D) 5 and 9

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

(A) 68 kg

(B) 66 kg

(C) 69 kg

(D) Cannot be determined

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

(A) 10

(B) 8

(C) 1

(D) Cannot be determined

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

(A) 5

(B) 7

(C) 10

(D) None of the above

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