26 august business methamatics

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Business Methamatics

AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


Business MethamaticsDr. T.K. Jain.

AFTERSCHO☺OLCentre for social entrepreneurship

BikanerM: 9414430763

[email protected]

www.afterschoool.tk

http://www.afterschool.tk/

http://www.afterschoool.tk/


Out of the total 150 students, 45 passed in Accounts, 50 in Maths, 30 in costing, 30 in both accounts and Maths, 32 in both Maths and costing, 35 in both accounts and costing, and 25 in all the papers. Find the number of students who passed in at least any one paper?

(50+30+45) – (30+35+32) +25 =53 ans.


Out of the total 150 students, 45 passed in Accounts, 50 in Maths, 30 in costing, 30 in both accounts and Maths, 32 in both Maths and costing, 35 in both accounts and costing, and 25 in all the papers. Find the number of students who failed in all the papers?

150 – 53 = 97 answer.


Out of the total 150 students, 45 passed in Accounts, 50 in Maths, 30 in costing, 30 in both accounts and Maths, 32 in both Maths and costing, 35 in both accounts and costing, and 25 in all the papers. Find the number of students who failed in at least one paper? Find the number of students who passed

in all the papers, and deduct that number from 150. The number of students who passed in all the papers is 25, therefore the answer is 150-25 = 125. ans.


Out of the total 150 students, 45 passed in Accounts, 50 in Maths, 30 in costing, 30 in both accounts and Maths, 32 in both Maths and costing, 35 in both accounts and costing, and 25 in all the papers. Find the number of students who failed in only one paper? 30 passed in accounts and maths, that

means they failed in costing. However, 30 includes those persons also who passed in all the papers. Thus (30+35+32) –(25+25+25) =97-75 = 22 ans.


Out of the total 150 students, 45 passed in Accounts, 50 in Maths, 30 in costing, 30 in both accounts and Maths, 32 in both Maths and costing, 35 in both accounts and costing, and 25 in all the papers. Find the number of students who passed in only two papers?

22 answer. (see previous question).


X = (1,2,3,4,… ), Y = (1,8,27,64 . . ), where the F(x) = X^3, where X is a positive integer. Is it a bijection function? Yes, because it is both ONTO and ONE

TO ONE function. For each value of X there is a unique image and there is no value in co-domain, which does not have an image in domain. Therefore it is Bijection function.


X = (-1,1,-2,2,-3,3,-4 ,4,… ), Y = (1,8,27,64 . . ), where the F(x) = X^3, where X is an integer. Is it a bijection function? No, it is ONTO, but not one to one

function, so it is not bijection function.


X = (1,2,3,4,… ), Y = (1,4,8,9,16,25,27 . ), where the F(x) = X^3, where X is a positive integer. Is it a bijection function?

It is One to One function, but not an ONTO function, bececuase there are many values in co-domain, which don’t have any image in domain (for example 4,16, 25 etc.). So answer is No.


X = (1,2,3,4,… ), Y = (1,8,27,64 . . ), where the F(x) = X^0, where X is a positive integer. Is it a bijection function?

No. It is a constant function. For all values of X, there is only one value in Y that is Zero. Thus it is a constant function.


X = (1,2,3,4,… ), Y = (1,8,27,64 . . ), where the F(x) = X^0, where X is a positive integer. Is it a one to one function? No. As one to one function requires that

there should de different value in Y for each value of X. but in this case, for each value of X, there is only one value of Y, therefore it is not one to one function. It is a constant function.


X = (1,2,3,4,… ), Y = (-1,1,-2,2,-3,3… ), where the F(x) = X^1/2, where X is an integer. Is it a function? No. Function requires that there should

be an image of X in Y axis, but there are many values in X, which don’t have any image in Y, so this is not a function.


X = (1,4,9.. ), Y = (-1,1,-2,2,-3,3… ), where the F(x) = X^1/2, where X is an integer. Is it a one to one function?

No. Because, there are two same values in Y for one value of X. For example, for 1, we have two values in Y, -1 and 1. for 4, we have two values -2 and 2. thus this cannot be function.


If X = (a,b) and Y = (p,q), which is not a function? a. (a,p), (a,q), (b,p), (b,q)b. (a,p),(b,q)c. (a,p),(b,p),d. (a,q),(b,q)

Answer: Only A. ans.


ABOUT AFTERSCHOOOL 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 AFTERSCHOOOL 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 AFTERSCHOOOL IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management, Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad


Flexible Specialisations: Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social

relevance


Salient features: The only programme of its kind (in the whole world) No publicity and low profile course For those who want to achieve success in life – not just a degree Indepth knowledge and expertise Professional approac: World class approach Strong intellectual and business capabilities Flexible – you may stay for a month and continue the rest of the

education by distance mode. / you may attend weekend classes Scholarships for those from poor economic background Latest and constantly changing curriculum – keeping pace with

the time Placement for those who are interested Admissions open throughout the year Latest and most advanced technologies, books and study material


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 AFTERSCHOOOL 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 afterschoool 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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26 august business methamatics

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