Practice Paper on Quantitative Techniques for CLAT 2020
Practice Paper on Quantitative Techniques for CLAT 2020
Question 1: Contribution Margin and Market Share of Company A is given for 8 months period. First being April to last being November (simultaneous months from April to November). If the contribution margin of the March is Rs. 1 lakh, then answer the questions based on the data given.
How much has market share changed from 4th month to 8th month assuming the customer base is same for all the months?
Decrease of 1.23% (b) Increase of 0.24%
Decrease of 2.73% (d) Decrase of 0.56%
How many times do both Market share and contribution margin increase at the same time?
2 (b) 3 (c) 4 (d) 5
What is the contribution margin for 5th month?
353960 (b) 362960 (c)352960 (d) 363960
Cumulative contribution margin for all the round is:
3062600 (b)3052600 (c) 3262600 (d) 3252600
In which months contribution margin decreased?
June, July & November (c) June, August & October
May, June & November (d) June, July & October
Question 2: Data for Population of a state along with no. of cars in that state is given. Answer the questions based on the given data only.
2.1 Find the average of tenyear %age increase in Female population from 1960 to 2020.
(a) 28% (b) 24% (c) 125% (d) 21%
2.2 In which year the ratio of male to female population is lowest?
(a) 1990 (b) 2010 (c) 2020 (d) 2000
2.3 Highest % age increase in population has been observed in which year?
(a) 1960 (b) 1970 (c) 1980 (d) 1990
2.4 What is the per capita usage of cars (no. of cars/total population) in 1980?
(a) 0.5 (b) 0.25 (c) 2 (d) 0.05
2.5 In which year increase in no. of cars in a state is highest?
(a) 1980 (b) 1990 (c) 2000 (d) 2010
Answers and Solutions:
Answer: (a) Decrease of 1.23%
Solution: Straight away change in two months Market share calculation. Only subtraction has to be done. Here 4thmonth market share is 18.135 while 8thmonth market share is 17.36%. The difference is 1.23%.
Answer: (a) 2
Solution: Looking at the upward trend in both the line graphs you will see only in 2nd and 6th month both the variables increase simultaneously.
Answer: (c) 352960
Solution: Third and fourth part requires the contribution margin in quantifiable numbers, therefore using contribution margin of March i.e., Rs. 1 lakh, we will calculate relative contribution margin for all the months and answer both the questions:
Contribution Margin for 1st month = 100000*(1.242) =124200
For month 2 base will be 124200 as this will increase wrt to preceding month only.
Similarly, we will calculate for all the months: (values are given in the table to crosscheck)
Month  Contribution Margin 

1  24.20%  124200 
2  28%  158976 
3  30.90%  208099.584 
4  28.30%  266991.7663 
5  32.20%  352963.115 
6  34.10%  473323.5372 
7  34.10%  634726.8634 
8  31.30%  833396.3717 
Total (Cumulative) 
 3052677.238 
Answer: (d) 3052600
Solution: Cumulative means total contribution margin hence add the values for all the months and mark the approximate answer.
Answer: (a) June, July & November
Solution: Observationbased question Closely look at the downward trend for contribution margin and you will observe a decrease in June, July and November.
2.1 Answer: (b) 24%
Solution: We need to find the average increase in the female population here.
Increase in population will be calculated with usual %age increase formula and we will average all the values of increase.
Decade  Females(in 1000's)  % increase 
1950  30 

1960  40  33% 
1970  50  25% 
1980  70  40% 
1990  90  29% 
2000  100  11% 
2010  130  30% 
2020  160  23% 
Average of these value will be approx. 24%
2.2 Answer: (c) 2020
Solution: Whenever the years are given in option, always check the option instead of wasting time in doing the calculation for all years.
Male/Female in 1990 =1.44
Male/Female in 2010= 1.23
Male/Female in 2020 = 1.06
Male/Female in 2000 = 1.5
2.3 Answer: (b) 1970
Solution: First we will add the female and male population of given options and 1950 as for 1960 base is 1950 to find out the total population, then we will calculate % age increase.
2.4 Answer: (d) 0.05
Solution: Formula for percapita car usage is given using the same for 1980 data we will get 0.05.
Make sure u keep in mind that population is in the 1000’s and no of cars are 100’s otherwise you will get 0.5 in the calculation.
2.5 Answer: (d) 2010
Solution: Similar to 2.3, find the percentage increase for given options wrt to the preceding year and mark the answer.
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