# Tutor profile: Abhay B.

## Questions

### Subject: Geometry

How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?

Two possibilities: Two equal sides could add up to 12 or sum of 2 unequal sides = 12. i.e. Sum of 2 equal sides = 12 Sum of 2 unequal sides = 12 => If sum of two equal sides were 12, sides of the triangle should be 6, 6, x. What are the values x can take? x could range from 1 to 11. 11 integer values exist. Now 2 unequal sides adding to 12. This could be 1 + 11, 2 + 10, 3 + 9, 4 + 8 or 5 + 7. How many isosceles triangles are possible with the above combinations? Isosceles triangles with the above combination: 1, 11, 11 yes 1, 1, 11 No 2, 10, 10 Yes 2, 2, 10 No 3, 9, 9 Yes 3, 3, 9 No 4, 8, 8 Yes 4, 4, 8 No 5, 7, 7 Yes 5, 5, 7 Yes 6 possibilities. Triplets such as (1, 1, 11), (2, 2, 10), etc are eliminated as sum of the two smaller values is less than the largest value. These cannot form a triangle. The question is " How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?" 11 + 6 = 17 possibilities totally.

### Subject: Finance

Suppose, someone is actively managing the portfolio by changing the asset allocation, how one should determine what asset classes are good and bad value propositions?

Here, i am not asking how a portfolio manager decides which stocks or funds to own within the stock or equity allocation of your portfolio. I am asking how a manager decides to change the overall allocation to stocks in the portfolio. So, there are three basic methods for determining value - 1. Traditional methods of valuation like price-to-earnings ratios, price-to-book ratios, and price-to-sales ratios. 2. Valuating the market cycle by evaluating a variety of economic indicators like spending, wages, interest rates, real estate sales, manufacturing data, etc. 3. Evaluating investor behavior by studying market trends, investor sentiment, market divergences, market breadth, mean reversion, etc.

### Subject: Accounting

What different accounting (other than general accounting) you have come across during your course or during your internship?

I have seen whole different accounting of Service Concession Arrangements.A service concession arrangement is an arrangement whereby a government or other public sector body contracts with a private operator to develop (or upgrade), operate and maintain the grantor's infrastructure assets such as roads, bridges, tunnels, airports, energy distribution networks, prisons or hospitals. Such accounting treatment is being given by IFRIC 12 where whole cost is being debited to Profit and loss as and when the cost is being incurred and revenue is being booked after adding margin to the cost incurred. In such case, Financial asset or Intangible asset is being created as per the terms of Agreement.