CAT Introduction to Caselets - Practice Questions & MCQ

Directions for question:
The Enforcement Directorate (ED) of the Government of India had for a long time been keeping watch over the Education Minister of West Bengal in Kolkata regarding a scam of recruitment of Staff Selection Commission candidates. The Director of ED, Mr Sanjay Kr Mishra (IRS), with the help of his department sleuths, had observed a very interesting trend in the activity of the Education Minister:
Once every day of the week, except Sunday, the personal assistant of the Education Minister took delivery of sealed envelopes of money from the minister personally at his office to deliver to the minister’s lady-friend at her residence. It was also known from a secret source that for two fixed days of a week he delivered a certain number of envelopes less than the previous day, and for three fixed days a week, he delivered the same number of envelopes (as mentioned in the previous line) more than the previous day. However, it was not possible to get information as to what those days were. This practice continued for exactly twenty-seven consecutive days from the first Monday of delivery. From high-definition telescopic photographs of the envelopes, it was surely concluded that each envelope held a hundred crisp two thousand rupee notes. It was also known from the secret source that every week the greatest and least number of envelopes that the personal assistant delivered was eighty and twenty respectively. Mr Mishra took the help of a professional data interpreter to analyze the collected data and to provide the ED Department with an idea of the details and enormity of the scam. What would be the answers found out by the data-interpreter to the following questions asked to him by Mr Mishra?
Question: What could be the lowest possible quantum of the total delivery of money from the Education Minister’s office to the residence of his lady-friend, by the personal assistant of the minister?

Directions for question

M/s Sespi Pvt Ltd, headquartered at Kolkata, started the business of bottling and selling Sparkling Water under the brand name of ‘Sespark Aqua’ from the beginning of 2017-18 with liquid assets worth Rs 40 crores. 

The graphs given below give various details of the operations of M/s Sespi Pvt Ltd for the five years from 2017-18 to 2021-22, at the end of every year :

The Total cost of Production in a year = The Total Fixed Cost of Production in the year + The Total Variable Cost of Production in that year

Total Profit in a year = Total Sales Revenue in the year – Total cost of Production in the year

Liquid Assets at the end of a year = Liquid Assets at the beginning of the year + Total Profit in the year 

Question

In which year was the total cost per carton of Sespark Aqua water the highest ?