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 ten-year %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

• Answer: (a) Decrease of 1.23%

Solution:​​ Straight away change in two months Market share calculation. Only subtraction has to be done. Here 4th-month market share is 18.135 while 8th-month market share is 17.36%. The difference is 1.23%.​​

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.

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 cross-check)

 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

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:​​ Observation-based question-​​ Closely look at the downward trend for contribution margin and you will observe​​ a​​ decrease in June, July and November.

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%

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​​

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.​​

Solution:​​ Formula for per-capita 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.