30 June Maths Ii

QUANTITATIVE APTITUDE Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschoool.tk www.afterschool.tk

X beats Y in a 2.5 KM marathon race by 90 m or 12 seconds. Find the timing clocked by X? • Formulae is : difference in time / difference in distance * total distance covered. • = 12/90 * 2500 = 333.33 seconds. • Timing of Y = 333+12= 345 seconds approx. www.afterschoool.tk

What is the area of regular hexagon, whose one side is 2 cm? • A regular hexagon is a collection of 6 equilateral triangles. Area of one equilateral triangle is : • 1.732/4 * 2*2 = 1.732 • Area of Hexagon is : 6* 1.732 = 10.4 sq cm. approx. www.afterschoool.tk

A train leaves Bikaner at 8 am and reaches Jodhpur at 12. Another train leaves jodhpur at 10 am and reaches Bikaner at 1.30. at what time will these 2 trains meet? • The time is 4 hours and 3.5 hours for 2 trains. Their LCM is 14. Let us assume that the distance is 140 KM and speeds are 35 & 40 respectively. Thus combined speed is 75 km per hour. • From 8 to 10 only one train is running – it will cover 70 Km. Now 70 Km are left. Combined speed is 75 km per hour. Time will be : 70/75 = .933. convert it into seconds: .933*60= 56 minutes. www.afterschoool.tk

• Thus trains will meet at 10.56.

Area of equilateral triangle is 16 *3^1/2. what is its altitude? • Simply divide area by 4 and get the answer. • = 4 *3^1/2 answer • Or you may find its side first: • Side = square root of ( area /.433) • =(16*1.732)/.433 = square root of 64 = 8 • Now multiply 8 with 1.732/2 = 6.928 answer. www.afterschoool.tk

Maximum value of ax^2 +7x+8 is 81/4. what is the value of a? Options: 1, -1, 2, -2 • • • • • • •

Solve by options: Or solve by following formulae: (4ac – b^2)/4a = 81/4 C = 8. thus ( 4a8 – 49 )*4 = 81*4a 128a-324a = 196 -196a = 196 A = -1 answer. www.afterschoool.tk

What will be the equation when we decrease each root of the following equation by 2? Equation: x^2 -2x35 = 0 • • • • •

Here solve this question as follows: (x+2)^2 – 2 (x+2) – 35 = 0 X^2 +4x+4-2x-4-35 = 0 X^2 +2x -35 = 0 answer. Alternatively, find out the roots first. The roots are 7& -5. Now decrease these roots by 2 each. New roots are 5 & -7. form a new equation with www.afterschoool.tk these roots. Answer

A battalion has 1600 persons and food for 80 days. Some more person joined after 20 days and now food will last for 48 days. How many persons are there now? • 1600 * 60 (because 20 days have already been spent) = 96000 units of food • Unit of food = days * persons. • Thus if days are given, persons can be found. • 96000/48 = 2000. • Thus now there are 2000 persons (400 new persons arrived after 20 days). www.afterschoool.tk

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.

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

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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 earn while you learn • The only absolutely free course on internet • • • • •

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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 www.afterschoool.tk

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 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 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 www.afterschoool.tk

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)

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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

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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.

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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.

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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

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www.afterschoool.tk social entrepreneurship for better society

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