One Click Prep | Sujoy Kumar Datta

  In the video below, the detailed #solutions of all the #Quant questions in #CAT_2025, slot 3 have been discussed.  Try the questions first and then watch the video to explore the correct answer and alternative ways of solving!

How to solve Removal and replacement questions We often get questions involving  removal and replacement of mixtures where a part of a mixture is removed and replaced by some other solution. Say, a vessel contains different constituents in some given ratio. A fraction of the solution is removed and some quantity of some constituent is added to the solution. This process is repeated multiple times and the final ratio of constituents in the mixture has to be determined. Though this looks very complicated, we can solve it simply, in fact, in a single line! We just need to understand the fact that if a fraction,  f  of the solution is removed, the same fraction of each constituent also gets removed, and hence, the fraction  (1-f)  of each constituent is left, and as a result, after removal, the ratio of the constituents remains unchanged. This is very easy to understand. Say, you have a sugar solution in a glass and you drink a part of it. The remaining part would t...

Percentage & Percentage change Percent (read as per cent) means ‘every hundred’, or, essentially, ‘out of 100’. If we are given a fraction, we can simply convert it to a percentage by multiplying 100. Say, we have ½, which, when multiplied with 100 becomes ½ x 100 = 50%. What do we mean by a percentage change? Say, a person has 20 chocolates. If his number of chocolates is increased by 10%, what does it mean? First of all, let us see what is doesn’t mean: after the increase, the number of chocolates with him is  NOT  20 + 10 = 30, nor is it 20 +  10 / 100  = 20.1 When we talk of a percent increase, we must understand on what  BASE VALUE  is the percentage change working on. In this case, obviously, the 10% increase is 10% of the number of chocolates he has, i.e. 20. Thus, the number of chocolates with him would become: 20 + 10% of 20 = 20 + 20 x  10 / 100  = 22 Observe that:  20 + 20 x  10 / 100  = 20 x (1 +  10 / 100 ) = 2...

MBA – In Multiple Flavours The famed  Indian MBA  is usually a 2-year program. There are many variants of the MBA, the most common ones being the General MBA and some specialised programs like Marketing, Finance, Human Resource, Operations, among others. However, apart from the above, there are many other variants of the MBA. Some of these programs have been discussed in this article. 1. STEM MBA The STEM (Science Technology Engineering Mathematics) MBA program is a mix of business management, technology and leadership skills. With increasing data-driven roles, there is a huge demand for persons who know both tech and business. Some of the popular job roles are that of Data Analyst, Data Scientist, Business Analyst, Financial Analyst, Product Manager, Brand Analyst, Customer Behaviour Analyst, Digital Marketing Manager, Chief Technology Officer among others. Apart from some of the well-known programs in the US and Europe, there are many programs offered in India too. Some of t...