Previous Year Questions 2021: Quantitative | CLAT Past Year Papers (2008-2024) PDF Download

Q1: 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 percent profit in the year 2007 and 2008, and further increased it to 40 percent in 2009. However, its prof it percentage decreased to 20 percent in the year 2010. On the other hand, Contigent opened with 40 percent prof it in 2007 , but slowly decreased to 35 percent in 2008 and 30 percent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 percent in 2011 and 50 percent in 201 2; simultaneously, Contigent increased its profit percentage to 45 percent in 2010, 50 percent in 2011 and reached 60 percent 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.

What is the increase in prof it of Contigent Company in percentage from year 2011 to 2012?
(a) 20%
(b) 10%
(c) 15%
(d) Cannot be determined.
Ans: (b)
Sol: Given Data
From the given information:

• In 2011, Contigent's profit percentage was 50%.
• In 2012, Contigent's profit percentage increased to 60%.

Now, to calculate the increase in percentage from 2011 to 2012:
Increase in profit percentage = 60%- 50% = 10%
Therefore, the increase in profit percentage of Contigent Company from 2011 to 2012 is 10%.
So, the correct answer is: 10 %

Q2: 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 percent profit in the year 2007 and 2008, and further increased it to 40 percent in 2009. However, its prof it percentage decreased to 20 percent in the year 2010. On the other hand, Contigent opened with 40 percent prof it in 2007 , but slowly decreased to 35 percent in 2008 and 30 percent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 percent in 2011 and 50 percent in 201 2; simultaneously, Contigent increased its profit percentage to 45 percent in 2010, 50 percent in 2011 and reached 60 percent 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.

What percentage of the total prof it making of Pollaris Company in 2011 and 2012 is the total prof it making of Contigent Company in 2007 and 2008?
(a) 113.3%
(b) 95.3%
(c) 90.3%
(d) 133.3%
Ans: (a)
Sol: Given Data
Percentage profit of poillaris in 2011 and 2012 
= 50% + 35% = 3 5%
Percentage profit of contigent in 2007 & 2008 
= 40% + 35% = 75%
∴ Required percentage = (85/75) x 100
= 113.3%

Q3: 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 percent profit in the year 2007 and 2008, and further increased it to 40 percent in 2009. However, its prof it percentage decreased to 20 percent in the year 2010. On the other hand, Contigent opened with 40 percent prof it in 2007 , but slowly decreased to 35 percent in 2008 and 30 percent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 percent in 2011 and 50 percent in 201 2; simultaneously, Contigent increased its profit percentage to 45 percent in 2010, 50 percent in 2011 and reached 60 percent 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.

If the income of Contigent Company in 2008 was ₹ 200 crores, what was its prof it in 2009?
(a) ₹ 21.5 Crore
(b) ₹ 46.15 Crore
(c) ₹ 153 Crore
(d) Cannot be determined.
Ans: (d)
Sol: Given Data
As income of contigent company in 2003 was 200 crores. But we have to calculate the profit in 2009. So, it is not possible calculate.

Q4: 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 percent profit in the year 2007 and 2008, and further increased it to 40 percent in 2009. However, its prof it percentage decreased to 20 percent in the year 2010. On the other hand, Contigent opened with 40 percent prof it in 2007 , but slowly decreased to 35 percent in 2008 and 30 percent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 percent in 2011 and 50 percent in 201 2; simultaneously, Contigent increased its profit percentage to 45 percent in 2010, 50 percent in 2011 and reached 60 percent 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.

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
Ans: (c)
Sol: Given Data
Annual average profit of pollaris

= 205/6
Annual average of contigent
= 260/6
∴ Required difference = 260/6 - 205/6
= 55/6 = 9.17

Q5: 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 percent profit in the year 2007 and 2008, and further increased it to 40 percent in 2009. However, its prof it percentage decreased to 20 percent in the year 2010. On the other hand, Contigent opened with 40 percent prof it in 2007 , but slowly decreased to 35 percent in 2008 and 30 percent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 percent in 2011 and 50 percent in 201 2; simultaneously, Contigent increased its profit percentage to 45 percent in 2010, 50 percent in 2011 and reached 60 percent 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.

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.
Ans: (b)
Sol: Given Data
Profit percentage of pollaris in 2010 = 20%
Profit percentage of pollaris in 2011 = 35%
∴ Percentage increase = ((35 - 20)/20) x 100
= (15/20) x 100 = 75%

Q6: 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 welf are programmes accordingly. The state government found that the state’s 30 percent of the population were children between the age group of 0 -15. Next to child population, 17.75 percent 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 percent, 36 to 45 were 1 4.50 percent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 percent 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:

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
Ans: (d)
Sol: Given Data

Total population = 5600 
Persons below 26 years = age group (0-15) + age group (16-25)
= 30%  - 17.75%
= 47.75%
∴ Number of person below 26 years 
= (5600 x 47.75)/100
= 2674

Q7: 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 welf are programmes accordingly. The state government found that the state’s 30 percent of the population were children between the age group of 0 -15. Next to child population, 17.75 percent 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 percent, 36 to 45 were 1 4.50 percent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 percent 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:

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
Ans: (c)
Sol: Given Data
Total population is 400 M below 36 years 
Total percentage population below 36 years 
= 30% - 17.25% - 17.75% 
= 65%
It total population is x M.

x = (400 x 100)/65
∴ Population in age group 56 - 65 

= 31.50 M

Q8: 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 welf are programmes accordingly. The state government found that the state’s 30 percent of the population were children between the age group of 0 -15. Next to child population, 17.75 percent 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 percent, 36 to 45 were 1 4.50 percent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 percent 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:

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
Ans: (b)

Q9: 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 welf are programmes accordingly. The state government found that the state’s 30 percent of the population were children between the age group of 0 -15. Next to child population, 17.75 percent 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 percent, 36 to 45 were 1 4.50 percent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 percent 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:

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
Ans: (d)
Sol: Given Data
Difference between the number of people in age group 46 - 55 and 26 - 35 = 15.75 M difference between percentage population of these two age group
= 17.25% - 14.25%
= 3%
If total population = x M

= 525 M

Q10: 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 welf are programmes accordingly. The state government found that the state’s 30 percent of the population were children between the age group of 0 -15. Next to child population, 17.75 percent 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 percent, 36 to 45 were 1 4.50 percent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 percent 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:

Which age group accounts for the maximum population in the state?
(a) 0 to 15
(b) 26 to 35
(c) 36 to 45
(d) None of the above.
Ans: (a)

Q11: 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 percent of his income on food, 15 percent on Housing, and 12 percent on his child ’s education. For his transport, he spent 10 percent, and for clothing of his family he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

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
Ans: (b)
Sol: Given Data

Given total amount spent = 56000
∴ Spending on food = 56000 x (23/100)
= 560 x 23 
= ₹ 12880

Q12: 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 percent of his income on food, 15 percent on Housing, and 12 percent on his child ’s education. For his transport, he spent 10 percent, and for clothing of his family he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

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
Ans: (c)
Sol: Given Data
Total spending = 5600
Percentage spending on clothing and housing = 10 + 15 = 23%
∴ Money spent = 56000 x (25/100)
= ₹ 14000

Q13: 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 percent of his income on food, 15 percent on Housing, and 12 percent on his child ’s education. For his transport, he spent 10 percent, and for clothing of his family he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

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
Ans: (d)
Sol: Given Data
Given percentage amount spent on housing = 15%
Given percentage amount spent on education = 12%
∴ Required ratio = 15: 12
= 5 : 4

Q14: 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 percent of his income on food, 15 percent on Housing, and 12 percent on his child ’s education. For his transport, he spent 10 percent, and for clothing of his family he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

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
Ans: (a)
Sol: Given Data
Total expenditure = 56000
Percentage amount saved by family = 15%
∴ Amount saved = 56000 x (15/100)
 =  ₹ 8400

Q15: 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 percent of his income on food, 15 percent on Housing, and 12 percent on his child ’s education. For his transport, he spent 10 percent, and for clothing of his family he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spendings. Answer the following questions to provide deeper insight to Mr. Abhishek.

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
Ans: (a)
Sol: Given Data
Total expenditure = 56000
Percentage amount spent on other spending and clothing
= 20% + 10% = 30%
From given options percentage spent 
(a) Housing and child education = 15 + 10 = 25%
(b) Food and transport = 23 + 10 = 33% 
(c) Food and housing = 23 + 15 - 3S% 
(d) Housing and saving = 15 + 20 = 35%