quantitative aptitude and mathematics 14 october ii

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Business Mathematics AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS

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Business MathematicsDr. T.K. Jain.

AFTERSCHO☺OLCentre for social entrepreneurship

Bikaner M: [email protected]

www.afterschool.tk, www.afterschoool.tk

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There are 3 books of accounts, 4 books of maths, 5 books on

leadership, in how many ways can we place them on a bookshelf, if books of one subject will come

together? • 3 books can be put in 3!, 4 books can be

put in 4!, 5 books can be put in 5! We have 3 subjects, thus we have 3! For interchanging subjects. Thus we have 3!*4!*5!*3! = 103680 answer.


Orange can be made by equal amount of Red and Yellow, Pink can be made by equal amount of white and red. Avocado can be

made from equal amount of orange and pink. What is the minimum and

maximum cost of avocado? • Costs: orange : 22, pink : 18, white : 15,

Red : 20, yellow : 25.


Solution

• Least cost is when we mix orange with equal amount of (red +white combination).

• This will cost : 22 +17.5 / 2• =39.5 / 2 = 19.75


Sum of 3rd , 15th, elements of AP is equal to sum of 6th, 11th, and 13th

elements. Which element is Zero?

• (A+2D)+(A+14D) = (A+5D)+(A+10D)+(A+12D)

• =2A+16D = 3A +27 D• =A = -11D• Thus 12th element is Zero. Answer.


Ajay, Jiten, Dhawal, Goti,Prateek sit together on round table in such a way that the heaviest always sits with the lightest. In how many ways

can they sit together?

• Let us treat the heaviest and lightest as one. Thus we have 4 persons now. The formulae is (N-1)! Thus we have (4-1)! Or 3! Or 6 let us multiply this by 2 (for interchange of heaviest and lightest. Thus 6*2 = 12 answer.


What is interest rate swap?

• Swap means exchange. When you can exchange your interest rate obligations, it is called SWAP. You may exchange fixed rate obligations for floating rate obligation or you may exchange your obligations in different foreign currencies.


What is NPA ?

• When there is credit default, it is called NPA. If I take loan from Bank and don’t repay, it will become NPA for the bank and bank will have to take some action for this. NPA = Non performing Asset


What is EPZ?

• Export Processing Zone – it is a geographic area, where there are special facilities for exporters.


What is EOU

• Export Oriented Unit. • These are units, which have been set up

exclusively for exporting.


What is QR?

• Quantitative Restriction• When there is restriction on import, it is

called QR. Now these have been removed as per the discussions held at WTO meetings.


What is export subsidy?

• These are monetary assistance to exporters for exporting more and more. These are not permitted as WTO guidelines. India also does not give export subsidies, but there are many indirect subsidies that are given like assistance in marketing, export promotion, guarantees, export finance, export insurance etc.


What is DFEC?

• Duty Free Export Credit. • In order to promote exports, there are

many schemes to promote entrepreneurs to start export houses. One such scheme is DFEC. Served from India is also a DFEC.


In which market can we have homogenous products?

• Perfect and Oligopoly


In which markets can we have differentiated products?

• Monopolistic Competition and Oligopoly


What kind of market is there in Telecom (mobile) in India?

• Oligopoly


What kind of market is there in case of soaps?

• Monopolistic competition


What is the formulae of MR?

• MR = marginal revenue• Change in revenue / change in quantity


What is difference in outlay cost and opportunity cost?

• In outlay cost, we are actually spending some money. In opportunity cost, we are not spending any money.


If the prices increase, in which of these products, our total sales

revenue will increase?

• Salt, Rice, Car, Mobile, Wheat, Petrol, jewellery • Solution: • Salt, Rice, Wheat, Petrol are essential

commodities, so their demand is relatively inelastic. So, total revenue will increase. Jewellery is luxury goods, but here demand increases with increase in price, so demand may increase. In other cases, total revenue will decrease.


In your budget line there are three indifference curves A,B,C. A is

higher than B, and B is higher than C. Which curve will you choose for

your decisions? • A because higher indifference curve

represents higher satisfaction.


I get Sambhar Vada at Rs. 10 per piece. My utility is 30,20,10,5,4 for

successive units. What is my surplus?

• I shall use 3 units. My surplus will be (30-10) + (20-10) + (10-10) = 30 units. Answer.


ABOUT AFTERSCHO☺OL

Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.


Why such a programme?

• To promote people to take up entrepreneurship and help develop the society

• To enable people to take up franchising and other such options to start a business / social development project

• To enable people to take up social development as their mission

• To enable people to promote spirituality and positive thinking in the world


Who are our supporters?

• Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us.

• You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.


About AFTERSCHO☺OL PGPSE – the best programme for developing great

entrepreneurs• Most flexible, adaptive but rigorous programme• Available in distance learning mode• Case study focused- latest cases • Industry oriented practical curriculum• Designed to make you entrepreneurs – not just

an employee• Option to take up part time job – so earn while

you learn • The only absolutely free course on internet


Workshops from AFTERSCHO☺OL

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Components • Pedagogy curriculum and approach based on IIM Ahmedabad and ISB

Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)• Meditation, spiritualisation, and self development • Essential softwares for business• Business plan, Research projects• Participation in conferences / seminars• Workshops on leadership, team building etc. • Written submissions of research projects/articles / papers• Interview of entrepreneurs, writing biographies of entrepreneurs• Editing of journals / newsletters• Consultancy / research projects • Assignments, communication skill workshops• Participation in conferences and seminars• Group discussions, mock interviews, self development diaryng • Mind Power Training & writing workshop (by Dr. T.K.Jain)


Pedagogy • Case analysis,• Articles from Harvard Business Review • Quiz, seminars, workshops, games, • Visits to entrepreneurs and industrial visits• Presentations, Latest audio-visuals• Group discussions and group projects• Periodic self assessment• Mentoring and counselling• Study exchange programme (with institutions out of

India)• Rural development / Social welfare projects


Branches

• AFTERSCHO☺OL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs.


Case Studies

• We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs.


Basic values at AFTERSCHO☺OL

• Share to learn more• Interact to develop yourself• Fear is your worst enemy• Make mistakes to learn • Study & discuss in a group• Criticism is the healthy route to mutual support

and help • Ask fundamental questions : why, when, how &

where?• Embrace change – and compete with yourself

only


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