general awareness & business quiz 16 october

www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Business Mathematics

AFTERSCHOOOL – 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 MathematicsDr. T.K. Jain.

AFTERSCHOOOLCentre for social entrepreneurship

BikanerM: 9414430763

[email protected]

www.afterschoool.tk

http://www.afterschool.tk/

http://www.afterschoool.tk/


8 guests have to be seated on a rectangular table, (4 on each side). 2 particular guests desire to sit on one side of the table and 3 on other side. The number of ways in which such sitting arrangement can be made is ? We have 2 choices available on one side and 1

choices available on other side. Let us start with one side. The number of choices are 2! * 3p2 = 2*6 = 12, However, these 2 groups (2 each) can exchange seats among themselves, thus we have 12*2 = 24. Let us now come to the other side of the table, we have 3! * 3C1 = 18 options. However, the 4th person can take any seat out of 4 seats, so we have 18*4 = 72

Thus 72 *24 = 1728 answer.


There are 6 questions (with one choice) in a paper. In how many ways can I person attempt one or more questions? If I try to attempt all 6 questions, the choices are :

2*2*2*2*2*2 = 64 If I try to attempt any 5, then I have 5 choices 6c5, I can

further take any choice out of these: 6C5*2*2*2*2*2 = 192 Similarly, if I try to attempt 4 out of these, I have

6C4*2*2*2*2 = 240 Similarly, if I try to solve 3 questions, I have 6C3*2*2*2 =

160 Similarly, if I try to attempt 2 questions, I have 6C2*2*2 =

60 Similarly, if I try to attempt only one question, 6C1*2 = 12 Let us add all these : 64+192+240+160+60+12 =728

answer.


How many even numbers greater than 300 can be formed from 1,2,3,4,5 without repetition? We need to have 2 or 4 at the end. Thus

we have 2 choices for last digit. Let us start with 5 digit numbers. We have 4 choices for first place. 4*3*2*1*2 = 48. similarly for 4 digit

numbers, we have 4*3*2*2 = 48 options. Similarly for 3 digit numbers, we have 3*3*1+ 2*3*1 = 15. thus 48+48+15=111.


How many digits between 100 and 1000 can be made from 1,2,3,4,5,6,7? We have to make 3 digit number. For

first digit we have 7 options, for second digit we have 6 choices, for third digit, we have 5 choices.

Thus 7*6*5 = 210 answer.


5 bulbs of which 3 are defective are to be tried in 2 bulb points in a dark room. In maximum how many trials will the room be lighted? What are the total ways of lighting? Let us assume that we start with both

defective bulbs (we don’t know which is OK). We have to make second attempt, this time with one OK and one defective, which will be replaced (room is lighted in 2 attempts). In third attempt we have the room completely lighted. We can use 5C2 = 10 ways in total. However, some of these use all defective bulbs – so remove them. 3C2 = 3. so 10-3 = 7 are the total ways of lighting the room. answer.


Devide 69 in 3 parts that it is in AP and product of the first 2 parts is 483? AP = arithmetic progression. AP is A, A+D, A+2D, A+3D . . . So on. Let us assume that the first term is A-D,

Second term is A, and 3rd term is A+D. Thus add them A-D++A+A+D, we get 69 Or 3A = 69, a = 23. A-D * A = 483. 23-D *23 =483 529 – 23D = 483, or 23D = 529 – 483 D = 46 / 23 = 2. The series is 21,23,25 ans.


What is AM,GM and HM of 4 &10? 4+10 = 14/2 = 7 is AM (arithmetic mean) 4*10 = 40 square root of 40 is 6.3, which

is GM (geometric mean). ¼+1/10 = 14/40 * ½ = 14/80 or 80/14 is

the HM (Harmonic Mean) = 5.7 answer.


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


www.afterschoool.tk social entrepreneurship for better society

http://www.afterschoool.tk/

general awareness & business quiz 16 october

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