Reasoning & Data Sufficiency 25 April 2009
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REASONING & DATA SUFFICIENCY
Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP1www.af www.afterschoool.tk
75 children went to an amusement park where they could ride on merry go round, roller coaster, and ABC, it was known that 10 of them took all three rounds and 45 had taken at least 2 of the 3 rides each ride costs 2. total receipt was Rs. 246. How many children didn’t try any ride? 06/29/09
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Solution…. • 10 * 3 * 2 = 60 • 35 ( 45 – 10 ) * 2*2 = 140 • Remaining = 46 divide it by 2, we get 23 who have taken 1 ride only. • Total up = 68. • 75 – 68 = 7, means 7 persons didn’t try any ride. • Answer. 06/29/09
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In an election of 2 candidates, the candidates getting 41% votes is rejected by a majority of 2412 votes. Find the total number of votes polled? • The other candidate got 59% votes. The difference of 59 and 41 is 18% which is equal to 2412. thus total votes polled is : 2412 *100/18 = 13400 answer. 06/29/09
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8640, 1440, ? , 72, 24,12 (find the missing value)? • • • • • •
12 * 2 = 24 24*3 = 72 72 * 4 = 288 288 * 5 = 1440 1440 * 6 = 8640 SO MISSING VALUE IS 288. ANSWER
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5, 18, 33, ?, 69, 90 (FIND THE MISSING VALUE)? • THE GAPS ARE INCREASING BY A DIFFERENCE OF 2 EACH. • THE GAPS ARE 13,15,17,19… • THUS 33 + 17 = 50 ANSWER.
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A letter from these matrices can be represented fitst by its row and next by column number. Identify the set for the word FARM.
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Options… • • • • • •
(1) 23, 12,68,96 (2) 44, 43, 87, 57 (3) 02,30,85,65 (4) 20,31,76,68 Solution (1) gives the answer
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Radha and Minnilal have two children — Simmi and Divya. Divya is married to Anuj who is the son of Madhu and Jabbar. Resham is the daughter of Anuj. Kiran who is Anuj’s sister is married to Subodh and has two sons Tarun and Aman. Tarun is grandson of Madhu arid Jabbar. What is relation between Aman and resham?
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Solution… • They are cousins….
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(i) During the interview Rakesh answered all the questions in mono syllables like : “yes”, “no”, and “perhaps”.v(ii) Mona advised Sujata, not tn end all her busienss calls with a “feel free to call me” statement, as it was an over used expression. Sujata however disregarded the advice and con tinued to do so. (iii) When Shyam was recovering from a severe bout ofjaun dice, his mother Ramola had no option but to be very strict with Shyam’s diet. She called herself a “mean mother” at that time. (iv) let f942, Abel Tasman, a Dutch navigator discovered the island of Tasmania off the Southeastern coast of Austra lia. (v) Wheo the class, yet again failed to submit the assignment in time, Reena, the class teacher, angrily12www.af 06/29/09 AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP deoounced the class for full fifteen minutes.
Continued…. • • • • • •
(vi) Seema could have very well written WHO, and saved time, By writing the full form World Health Organization, she missed winning the last round of quiz by two seconds. (vii) “O’Henry”, the short story writer was actually William Sydney Porter in real life. (viii) When Krishna gave the sales figures of the last five years, the client was convinced that the product was “sucessful” and this was not an exaggeration. (ix) All the team member were so excited that they rushed to answer first and thus gave many wrong answers it the quiz. Jai, the leader scolded them and said, “Look before you leap (x) Sunita was planning a surprise parry for her husband. She fe hurt when Bimal, her husband asked, “What are you scheming behing my bnck”. Who used pseudonym?
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Solution… • William Sydney Porter
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In which of the following institutes is the difference between the number of successful candidates in Engineering and that in Medical discipline the maximum?
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Solution… • There are 5 instituions : A,B,C,,D,E . B has maximum difference ( 1100) between number of students in medicine and engineering.
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How much minimum time will Ram take to travel from Howrah to Midnapore and back & distance travelled?
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Solution… • Minimum he will take 10 * 2 = 20 hours • Minimum distance : 728 * 2 = 1456 km. • Answer.
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What percentage is B’s expenditure on food over A’s expendi ture on food, taking equal total expenditure
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Solution • Let us assume both spend Rs. 100. • A spends Rs. 30, B spends Rs. 37.5 • Thus 38/30 * 100 = 126% approx.
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Between which stations the speed is highest?
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Solution… divide distance by time
a to b b to c c to d d to e e to f f to g g to h 06/29/09
140 91 150 88 106 176 110
100 80 103 80 75 120 75
1.4 1.1375 1.456311 1.1 1.413333 1.466667 1.466667
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Solution… • The highest speed is from F to G and G to H (both ). Answer.
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The population of X and Y in 2004 is how many times that in 2002.
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Solution… • • • •
Add the populations of the two years. Total population of 2004 = 193000 Total population of 2002 = 182000 Thus population of 2004 is 1.06 times that of 2002 • Answer
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If matches having zero runs and the one with highest runs is ignored, what will be the average runs for opener C in 20 matches
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Solution… • (414 – 52) / ( 20 – 3) • We have to ignore highest and zero scoring matches. • = 21.3 approx. answer.
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_ aaba — bba _bba — abaa — b. • Options : • (1) aabab ‘ • (3) baaba
(2) (4)
ababa bbaba
• Answer : (3)
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If : T 1
R 2
I F 3 4
U 5
which of these is meaningful • Options : (1) 3,1,2,4,5 (2) 4,2,5,3,1 • (3) 4,3,2,1,5 (4) 5,3,2,1,4
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A C E S T H’ 1 2 3 4 5 6 which is meaningful?
• Which is meaningful: • 1) 6,1,4,5,3,2 (2) 2,6,1,4,5,3 • (3) 4,3,5,6,1,2 4) 6,3,2,1,4,5 06/29/09
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‘Look before you leap’ reflects an attitude expressed in such a saying as (1) ‘Forewarned is forearmed’. (2) ‘You reap as you sow’. (3) ‘No risk no gain’. (4) ‘Fools rush where the angels fear to tread’. • Answer : 1. 06/29/09
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This is the ancient kingdom of Sumeria and you are its ruler. The fate of Sumeria’s economy and of your royal subjects; (1 is written in their horoscopes (2) is as unknown as the name of your kingdom (3)Is entirely in your hands. (4) is allocated according to their needs. • Answer : (3)
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These are 4 parts of a sentence, which part is incorrect : 1) The success of the new film 2) come from the appeal 3) that the hero of the film 4) has with the masses.
• The second part should be : comes from the appeal • Thus answerAFTERSCHOOOL 06/29/09 CENTRE FOR SOCIAL ENTREPRENEURSHIP 35www.af : (2)
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Look at this series: 4, 7, 25, 10, __, 20, 16, 19,... What number should fill the blank? • There are two series running here : (two digits from first series and one digit from the second series). • One is : 4,7,10,_,16,19 (interval of 3) • The other series is : 25,20,…(interval of -5) • Thus the missing number is 13. 06/29/09
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. Which word does NOT belong with the others? a. mayor b. lawyer c. governor d. senator • LAWYER
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. Pride is to lion as school is to a. teacher. b. student. c. self-respect. d. fish. • Fish 06/29/09
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From 1995 to 2000, the prices increased constantly @ 10% per annum. In 2001 the plummeted to the 1995 level. What was the % fall in 2001?
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Solution • Start from 1995 as 100, it increased by 10% every year, so 100*(1.1)^5 so it reached 161 in 2000. Now it again reached 100 in 2001. thus decline % is 61/161 *100 = 37.9% answer.
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ARGUMENT…. • Should there be world government? • A 1. yes, it will help in eliminating tensions • A 2: no – then only developed countries will dominate. • ANSWER : • Both the arguments are logical arguments… 06/29/09
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QUESTION ON BLOOD RELATION… Ram says: “he is the husband of X, who is the daughter of Y, who is daughter of Z, who is my father.”. What is the relation between Ram and Y. ANSWER : Ram and Y are brother and Sister.
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QUESTION ON CODING : • A COMPUTER USES FOLLOWING SYSTEM WHILE SOLVING: • Input : 23, 09, 320, 90, 12, • 1st step: 320, 23, 09, 90, 12 • 2nd step : 320,90,23,09,12 • 3rd step & Output: 320,90,23,12,09 • In how many step will following input be solved : 90,121,94,23,233,898,22,400? 06/29/09
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Solution… • • • • • • •
Input : 90,121,94,23,233,898,22,400? 1st step: 898, 90,121,94,23,233,22,400 2nd step: 898,400, 90,121,94,23,233,22, 3rd step: 898,400,233, 90,121,94,23,22, 4th step: 898,400,233,121,90,94,23,22. 5th step: 898,400,233,121,94,90,23,22 Thus the question is solved in 5 steps. Answer.
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SYLLOGISM • •
1. : all rooms are stones 2. all stones are diamonds Conclusion: 4. All rooms are diamonds 5. All diamonds are rooms 6. All stones are rooms 7. No conclusion can be drawn 06/29/09
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Answer • Only 1st conclusion can be drawn
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Syllogism • • • • • • •
1. all chairs are tables 2. all tables are books Conclusion 1. some chairs are tables 2. some chairs are not tables 3. some tables are not chairs 4. no conclusion can be drawn
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Answer • Only 1st conclusion can be drawn
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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are ambitious chess players. 06/29/09
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solution • A,D,F,M are the ambitious chess players
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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are the chess players, who are neither honest, nor hardworking, ambitious , intelligent? 06/29/09
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Answer • None
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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, make a cricket team of hardworking, intelligent and honest players 06/29/09
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Solution… • E and G.
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2^a = 3^b = 6^-c , what is value of 1/a +1/b +1/c?
• Let us assume a value which we can equate with all these values. (use log table for solving this question). • Let us take all these values equal to 1. thus value of A, B and C are equal to Zero. Thus the answer is Zero. • We can also assume these values to be equal to 6. • A = 2.6, B =1.65 and C = -1 • Now putting these values: ½.6 + 06/29/09 www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 56 1/1.65 – 1 AFTERSCHOOOL www.afterschoool.tk
Log T + Log (T-3) = 1, what is T? • We know that Log 10 = 1. (Log 10 10 ) • In log, we multiply, where the symbol is +. • Thus t * (t-3) = 10 ; T^2 -3T =10; • T^2 -3t -10 = 0 • T^2 – 5T + 2T -10 = 0 • T (T-5) +2 (T-5); T-5 = 0 or T =5; T+2 =0 • T = 5 or -2 • Thus T = 5 answer. 06/29/09
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• • • •
Sum of 2 numbers is 52 and their difference is 2. what are the numbers? X + Y = 52 X –Y = 2 Add these: 2X = 54; X = 27 Y = 25 answer.
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Diagonal of rectangle is 5 CM. One of its side is 4 CM. Its area is ?
• Let us find the other side. • As per pythogorus rules, other side is sqare root of (5^2-4^2) = square root of (25-16) = square root of 9 • Other side is 3. • Area = 4*3 =12 answer. 06/29/09
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Fourth part of a number exceeds the sixth part by 4. what is the number? • • • •
X / 4 – X /6 = 4 (6X-4X) / 24 = 4 2X = 96 X = 48 answer.
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Two numbers are such that twice the smaller number is less than twice the greater one by 18 and 1/3 of smaler and 1/5 of greater number are together 21. What are numbers? • Bigger num be r = X , smaller no. = Y
• 2X-2Y = 18; 1/ 5 X + 1/ 3Y = 21 • Let us multi ply second eqation by 10, we get: 2X + 10/ 3 Y = 210. S ubtr act t hi s equat ion from 1 st . We get -16/ 3 Y = -192 • Y = 19 2 *3/ 16 = 36. t hus smaller nu mber is 36. Put ting this in fir st equation, we get 2X = 90 or X = 45 an swer.AFTERSCHOOOL . www.afterschoool.tk 06/29/09 CENTRE FOR SOCIAL ENTREPRENEURSHIP 61 www.afterschoool.tk
A number between 10 & 100 is five times the sum of its digits. If 9 is added to it, digits are reversed. What is the number?
• Let us assume unit digit to be X & digit at tenth place to be Y. • The number is : 10Y +X • 10Y +X= 5 (X +Y) • (10Y +X ) +9 = 10X +Y or 9y-9X = -9 or Y-X =-1 • 10Y – 5Y=5X-X or 5Y = 4X or Y = 4 and X = 5 thus number is CENTRE 45. FOR SOCIAL ENTREPRENEURSHIP 06/29/09 AFTERSCHOOOL www.afterschoool.tk 62 www.afterschoool.tk • Solve such question by options.
Find the fraction which is equal to ½ when both its numerator and denominator are increasd by 2 and is equal to ¾ when both are increased by 12? • Options: 3/8, 5/8, 3/8, 2/3
• Try from options. First option gives you answer. If you add 2 in each, you get 5/10 (which is ½) and if you add 12 in both the digits, you get 15/20 (which is ¾). 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 63 Thus optionwww.afterschoool.tk 1 gives answer.
If X: Y = 3:4, value of x^2y +xy^2 :x^3+y^3? • Putting X = 3 and Y = 4. • 36+48: 27+64 • 84:91 (divide both the numbers by 7). • = 12:13 answer.
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If 2s:3t is duplicate ratio of 2s-p:3t-p then which is true: p^2= 6st or p =6st or 2p =3st
• Try from options. • Let us assume that P = 6. and as per first option, St = 6. Let us try putting values in s and t and if we get correct answer, we get answer. S = 2, T = 3 or 4:9 • We get next ratios as : -2: 3 (which is subduplicate ratio of 2s:3t) thusAFTERSCHOOOL this is the 06/29/09 www.afterschoool.tk CENTRE answer. FOR SOCIAL ENTREPRENEURSHIP 66 www.afterschoool.tk
ABO UT AF TERSCH OO OL Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CM A / 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. 06/29/09
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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk FOR SOCIAL ENTREPRENEURSHIP 68 • To enable people toCENTRE promote www.afterschoool.tk
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. 06/29/09
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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 70 earn while you learn www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 71 www.afterschoool.tk • 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 (wi th CA / CS /CMA ) • Hospital management and Health care • Hospitality sector and culture and heritage • Other sectors of high growth, high technology and social relevance 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 72 www.afterschoool.tk
Salient features:
• The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve succ ess in life – not just a degree • Indepth knowledge and expert ise • 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 • Lat es t and constantly changing curriculum – keeping pace with the time • Placement for those who are interested 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 73 • Admissions open throughout the year www.afterschoool.tk • Latest and most advanced technologies, books and
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 74 • Mind Power Training & writing workshop (by Dr. T.K.Jain) www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 75 projects www.afterschoool.tk
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. 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 76 www.afterschoool.tk
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. 06/29/09
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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 78 www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
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Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP1www.af www.afterschoool.tk
75 children went to an amusement park where they could ride on merry go round, roller coaster, and ABC, it was known that 10 of them took all three rounds and 45 had taken at least 2 of the 3 rides each ride costs 2. total receipt was Rs. 246. How many children didn’t try any ride? 06/29/09
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Solution…. • 10 * 3 * 2 = 60 • 35 ( 45 – 10 ) * 2*2 = 140 • Remaining = 46 divide it by 2, we get 23 who have taken 1 ride only. • Total up = 68. • 75 – 68 = 7, means 7 persons didn’t try any ride. • Answer. 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP3www.af
In an election of 2 candidates, the candidates getting 41% votes is rejected by a majority of 2412 votes. Find the total number of votes polled? • The other candidate got 59% votes. The difference of 59 and 41 is 18% which is equal to 2412. thus total votes polled is : 2412 *100/18 = 13400 answer. 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP4www.af
8640, 1440, ? , 72, 24,12 (find the missing value)? • • • • • •
12 * 2 = 24 24*3 = 72 72 * 4 = 288 288 * 5 = 1440 1440 * 6 = 8640 SO MISSING VALUE IS 288. ANSWER
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5, 18, 33, ?, 69, 90 (FIND THE MISSING VALUE)? • THE GAPS ARE INCREASING BY A DIFFERENCE OF 2 EACH. • THE GAPS ARE 13,15,17,19… • THUS 33 + 17 = 50 ANSWER.
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A letter from these matrices can be represented fitst by its row and next by column number. Identify the set for the word FARM.
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Options… • • • • • •
(1) 23, 12,68,96 (2) 44, 43, 87, 57 (3) 02,30,85,65 (4) 20,31,76,68 Solution (1) gives the answer
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Radha and Minnilal have two children — Simmi and Divya. Divya is married to Anuj who is the son of Madhu and Jabbar. Resham is the daughter of Anuj. Kiran who is Anuj’s sister is married to Subodh and has two sons Tarun and Aman. Tarun is grandson of Madhu arid Jabbar. What is relation between Aman and resham?
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Solution… • They are cousins….
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(i) During the interview Rakesh answered all the questions in mono syllables like : “yes”, “no”, and “perhaps”.v(ii) Mona advised Sujata, not tn end all her busienss calls with a “feel free to call me” statement, as it was an over used expression. Sujata however disregarded the advice and con tinued to do so. (iii) When Shyam was recovering from a severe bout ofjaun dice, his mother Ramola had no option but to be very strict with Shyam’s diet. She called herself a “mean mother” at that time. (iv) let f942, Abel Tasman, a Dutch navigator discovered the island of Tasmania off the Southeastern coast of Austra lia. (v) Wheo the class, yet again failed to submit the assignment in time, Reena, the class teacher, angrily12www.af 06/29/09 AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP deoounced the class for full fifteen minutes.
Continued…. • • • • • •
(vi) Seema could have very well written WHO, and saved time, By writing the full form World Health Organization, she missed winning the last round of quiz by two seconds. (vii) “O’Henry”, the short story writer was actually William Sydney Porter in real life. (viii) When Krishna gave the sales figures of the last five years, the client was convinced that the product was “sucessful” and this was not an exaggeration. (ix) All the team member were so excited that they rushed to answer first and thus gave many wrong answers it the quiz. Jai, the leader scolded them and said, “Look before you leap (x) Sunita was planning a surprise parry for her husband. She fe hurt when Bimal, her husband asked, “What are you scheming behing my bnck”. Who used pseudonym?
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Solution… • William Sydney Porter
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In which of the following institutes is the difference between the number of successful candidates in Engineering and that in Medical discipline the maximum?
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Solution… • There are 5 instituions : A,B,C,,D,E . B has maximum difference ( 1100) between number of students in medicine and engineering.
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How much minimum time will Ram take to travel from Howrah to Midnapore and back & distance travelled?
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Solution… • Minimum he will take 10 * 2 = 20 hours • Minimum distance : 728 * 2 = 1456 km. • Answer.
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What percentage is B’s expenditure on food over A’s expendi ture on food, taking equal total expenditure
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Solution • Let us assume both spend Rs. 100. • A spends Rs. 30, B spends Rs. 37.5 • Thus 38/30 * 100 = 126% approx.
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Between which stations the speed is highest?
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Solution… divide distance by time
a to b b to c c to d d to e e to f f to g g to h 06/29/09
140 91 150 88 106 176 110
100 80 103 80 75 120 75
1.4 1.1375 1.456311 1.1 1.413333 1.466667 1.466667
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 22www.af
Solution… • The highest speed is from F to G and G to H (both ). Answer.
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The population of X and Y in 2004 is how many times that in 2002.
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Solution… • • • •
Add the populations of the two years. Total population of 2004 = 193000 Total population of 2002 = 182000 Thus population of 2004 is 1.06 times that of 2002 • Answer
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If matches having zero runs and the one with highest runs is ignored, what will be the average runs for opener C in 20 matches
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Solution… • (414 – 52) / ( 20 – 3) • We have to ignore highest and zero scoring matches. • = 21.3 approx. answer.
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_ aaba — bba _bba — abaa — b. • Options : • (1) aabab ‘ • (3) baaba
(2) (4)
ababa bbaba
• Answer : (3)
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 29www.af
If : T 1
R 2
I F 3 4
U 5
which of these is meaningful • Options : (1) 3,1,2,4,5 (2) 4,2,5,3,1 • (3) 4,3,2,1,5 (4) 5,3,2,1,4
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 30www.af
A C E S T H’ 1 2 3 4 5 6 which is meaningful?
• Which is meaningful: • 1) 6,1,4,5,3,2 (2) 2,6,1,4,5,3 • (3) 4,3,5,6,1,2 4) 6,3,2,1,4,5 06/29/09
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‘Look before you leap’ reflects an attitude expressed in such a saying as (1) ‘Forewarned is forearmed’. (2) ‘You reap as you sow’. (3) ‘No risk no gain’. (4) ‘Fools rush where the angels fear to tread’. • Answer : 1. 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 33www.af
This is the ancient kingdom of Sumeria and you are its ruler. The fate of Sumeria’s economy and of your royal subjects; (1 is written in their horoscopes (2) is as unknown as the name of your kingdom (3)Is entirely in your hands. (4) is allocated according to their needs. • Answer : (3)
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These are 4 parts of a sentence, which part is incorrect : 1) The success of the new film 2) come from the appeal 3) that the hero of the film 4) has with the masses.
• The second part should be : comes from the appeal • Thus answerAFTERSCHOOOL 06/29/09 CENTRE FOR SOCIAL ENTREPRENEURSHIP 35www.af : (2)
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Look at this series: 4, 7, 25, 10, __, 20, 16, 19,... What number should fill the blank? • There are two series running here : (two digits from first series and one digit from the second series). • One is : 4,7,10,_,16,19 (interval of 3) • The other series is : 25,20,…(interval of -5) • Thus the missing number is 13. 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 37www.af
. Which word does NOT belong with the others? a. mayor b. lawyer c. governor d. senator • LAWYER
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. Pride is to lion as school is to a. teacher. b. student. c. self-respect. d. fish. • Fish 06/29/09
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From 1995 to 2000, the prices increased constantly @ 10% per annum. In 2001 the plummeted to the 1995 level. What was the % fall in 2001?
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 40www.af
Solution • Start from 1995 as 100, it increased by 10% every year, so 100*(1.1)^5 so it reached 161 in 2000. Now it again reached 100 in 2001. thus decline % is 61/161 *100 = 37.9% answer.
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 41www.af
ARGUMENT…. • Should there be world government? • A 1. yes, it will help in eliminating tensions • A 2: no – then only developed countries will dominate. • ANSWER : • Both the arguments are logical arguments… 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 42www.af
QUESTION ON BLOOD RELATION… Ram says: “he is the husband of X, who is the daughter of Y, who is daughter of Z, who is my father.”. What is the relation between Ram and Y. ANSWER : Ram and Y are brother and Sister.
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 43www.af
QUESTION ON CODING : • A COMPUTER USES FOLLOWING SYSTEM WHILE SOLVING: • Input : 23, 09, 320, 90, 12, • 1st step: 320, 23, 09, 90, 12 • 2nd step : 320,90,23,09,12 • 3rd step & Output: 320,90,23,12,09 • In how many step will following input be solved : 90,121,94,23,233,898,22,400? 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 44www.af
Solution… • • • • • • •
Input : 90,121,94,23,233,898,22,400? 1st step: 898, 90,121,94,23,233,22,400 2nd step: 898,400, 90,121,94,23,233,22, 3rd step: 898,400,233, 90,121,94,23,22, 4th step: 898,400,233,121,90,94,23,22. 5th step: 898,400,233,121,94,90,23,22 Thus the question is solved in 5 steps. Answer.
06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 45www.af
SYLLOGISM • •
1. : all rooms are stones 2. all stones are diamonds Conclusion: 4. All rooms are diamonds 5. All diamonds are rooms 6. All stones are rooms 7. No conclusion can be drawn 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 46www.af
Answer • Only 1st conclusion can be drawn
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 47www.af
Syllogism • • • • • • •
1. all chairs are tables 2. all tables are books Conclusion 1. some chairs are tables 2. some chairs are not tables 3. some tables are not chairs 4. no conclusion can be drawn
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 48www.af
Answer • Only 1st conclusion can be drawn
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 49www.af
Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are ambitious chess players. 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 50www.af
solution • A,D,F,M are the ambitious chess players
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 51www.af
Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are the chess players, who are neither honest, nor hardworking, ambitious , intelligent? 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 52www.af
Answer • None
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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 53www.af
Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, make a cricket team of hardworking, intelligent and honest players 06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 54www.af
Solution… • E and G.
06/29/09
AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP 55www.af
2^a = 3^b = 6^-c , what is value of 1/a +1/b +1/c?
• Let us assume a value which we can equate with all these values. (use log table for solving this question). • Let us take all these values equal to 1. thus value of A, B and C are equal to Zero. Thus the answer is Zero. • We can also assume these values to be equal to 6. • A = 2.6, B =1.65 and C = -1 • Now putting these values: ½.6 + 06/29/09 www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 56 1/1.65 – 1 AFTERSCHOOOL www.afterschoool.tk
Log T + Log (T-3) = 1, what is T? • We know that Log 10 = 1. (Log 10 10 ) • In log, we multiply, where the symbol is +. • Thus t * (t-3) = 10 ; T^2 -3T =10; • T^2 -3t -10 = 0 • T^2 – 5T + 2T -10 = 0 • T (T-5) +2 (T-5); T-5 = 0 or T =5; T+2 =0 • T = 5 or -2 • Thus T = 5 answer. 06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 57 www.afterschoool.tk
• • • •
Sum of 2 numbers is 52 and their difference is 2. what are the numbers? X + Y = 52 X –Y = 2 Add these: 2X = 54; X = 27 Y = 25 answer.
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AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 58 www.afterschoool.tk
Diagonal of rectangle is 5 CM. One of its side is 4 CM. Its area is ?
• Let us find the other side. • As per pythogorus rules, other side is sqare root of (5^2-4^2) = square root of (25-16) = square root of 9 • Other side is 3. • Area = 4*3 =12 answer. 06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 59 www.afterschoool.tk
Fourth part of a number exceeds the sixth part by 4. what is the number? • • • •
X / 4 – X /6 = 4 (6X-4X) / 24 = 4 2X = 96 X = 48 answer.
06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 60 www.afterschoool.tk
Two numbers are such that twice the smaller number is less than twice the greater one by 18 and 1/3 of smaler and 1/5 of greater number are together 21. What are numbers? • Bigger num be r = X , smaller no. = Y
• 2X-2Y = 18; 1/ 5 X + 1/ 3Y = 21 • Let us multi ply second eqation by 10, we get: 2X + 10/ 3 Y = 210. S ubtr act t hi s equat ion from 1 st . We get -16/ 3 Y = -192 • Y = 19 2 *3/ 16 = 36. t hus smaller nu mber is 36. Put ting this in fir st equation, we get 2X = 90 or X = 45 an swer.AFTERSCHOOOL . www.afterschoool.tk 06/29/09 CENTRE FOR SOCIAL ENTREPRENEURSHIP 61 www.afterschoool.tk
A number between 10 & 100 is five times the sum of its digits. If 9 is added to it, digits are reversed. What is the number?
• Let us assume unit digit to be X & digit at tenth place to be Y. • The number is : 10Y +X • 10Y +X= 5 (X +Y) • (10Y +X ) +9 = 10X +Y or 9y-9X = -9 or Y-X =-1 • 10Y – 5Y=5X-X or 5Y = 4X or Y = 4 and X = 5 thus number is CENTRE 45. FOR SOCIAL ENTREPRENEURSHIP 06/29/09 AFTERSCHOOOL www.afterschoool.tk 62 www.afterschoool.tk • Solve such question by options.
Find the fraction which is equal to ½ when both its numerator and denominator are increasd by 2 and is equal to ¾ when both are increased by 12? • Options: 3/8, 5/8, 3/8, 2/3
• Try from options. First option gives you answer. If you add 2 in each, you get 5/10 (which is ½) and if you add 12 in both the digits, you get 15/20 (which is ¾). 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 63 Thus optionwww.afterschoool.tk 1 gives answer.
If X: Y = 3:4, value of x^2y +xy^2 :x^3+y^3? • Putting X = 3 and Y = 4. • 36+48: 27+64 • 84:91 (divide both the numbers by 7). • = 12:13 answer.
06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 64 www.afterschoool.tk
06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 65 www.afterschoool.tk
If 2s:3t is duplicate ratio of 2s-p:3t-p then which is true: p^2= 6st or p =6st or 2p =3st
• Try from options. • Let us assume that P = 6. and as per first option, St = 6. Let us try putting values in s and t and if we get correct answer, we get answer. S = 2, T = 3 or 4:9 • We get next ratios as : -2: 3 (which is subduplicate ratio of 2s:3t) thusAFTERSCHOOOL this is the 06/29/09 www.afterschoool.tk CENTRE answer. FOR SOCIAL ENTREPRENEURSHIP 66 www.afterschoool.tk
ABO UT AF TERSCH OO OL Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CM A / 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. 06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 67 www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk FOR SOCIAL ENTREPRENEURSHIP 68 • To enable people toCENTRE promote www.afterschoool.tk
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. 06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 69 www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 70 earn while you learn www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 71 www.afterschoool.tk • 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 (wi th CA / CS /CMA ) • Hospital management and Health care • Hospitality sector and culture and heritage • Other sectors of high growth, high technology and social relevance 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 72 www.afterschoool.tk
Salient features:
• The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve succ ess in life – not just a degree • Indepth knowledge and expert ise • 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 • Lat es t and constantly changing curriculum – keeping pace with the time • Placement for those who are interested 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 73 • Admissions open throughout the year www.afterschoool.tk • Latest and most advanced technologies, books and
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 74 • Mind Power Training & writing workshop (by Dr. T.K.Jain) www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 75 projects www.afterschoool.tk
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. 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 76 www.afterschoool.tk
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. 06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 77 www.afterschoool.tk
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 06/29/09 AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 78 www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
06/29/09
AFTERSCHOOOL www.afterschoool.tk CENTRE FOR SOCIAL ENTREPRENEURSHIP 79 www.afterschoool.tk
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