7 July Mathematics Ii

Maths Afterschoool – developing change makers CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – OPEN FOR ALL FREE FOR ALL

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

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Difference between a discount of 33% and 2 successive discounts of 20% & 25% on a certain bill is Rs. 50. What is the amount of bill?  First

discount = 33%. Second discount = 20 % + 25% of 80 = 20% = 20+20 = 40.  Thus the difference is 7 when bill amount is Rs. 100. Thus bill amount is 100/7 multiplied with 50.  Thus the bill amount is : 712 answer.

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A certain number of tennis balls were purchased for Rs. 500. five more balls could have been purchased in the same amount if each ball was cheaper by Rs. 15. How many balls did we purchase?  

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Options: 12, 13, 11, 10 Try with 10, price is 50, if we try with 35, the number is approximately 14, let us try with 11. 500 / 11 = price is 45, 500/30 = 16 thus the difference is of 5. Thus answer is 11. Let us assume number of ball = X Price = 500 / X 500/X - 500/(X+5) =15 or 500 (x+5) +500x /x(x+5) = 15 500X +2500 – 500X = 15X^2 +75X 2500 = 15X^2 +75X 15X^2 +75X -2500 = 0 (divide all by 5) 3X^2 +15X – 500 = 0 (the question doesn’t have solutions).

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No. of heads is 30 and number of legs is 84. some are hens and some are goats. What is their ratio?  Options:

1:3, 2:3, 3:2, 3:4.  Let us assume that no. of hens is X and number of goats is Y.  Thus X+Y = 30  2X +4Y = 84 or X + 2Y = 42.  Y = 12, X = 18.  The ratio is : 3:2 answer. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

A coin box cont ains 50 pai se and R e 1. coi ns. Tota l nu mber of coins is 36. Total value of rupee coin s is equal t o t otal value of 50 paise coins. Find their rati o?

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us assume no. of coins is X & Y.  X +Y = 36  X = .5Y  .5Y +Y = 36  1.5Y = 36 or Y = 36/1.5 = 24  X = 12 (1 rupee coins) and 24 (50 paise coin) .  Ratio is 2:1 answer. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

A number is between cubes of 15 &16. the number is divisible by square of 12 as well by 7. what is the number?    

Option: 3469, 4032, 4045, 5249. Let us take cube of 15: 15*15*15 = 3375 Let us take cube of 16: 16*16*16 = 4096 Now let us see the option. Only 4032 is divisible by square of 12 – rest are not divisible by 12 – so no need to do any other exercise – answer is 4032). (in all other numbers, the total is not divisible by 3) (another factor of 12 is 2 – only one even number is there).

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

A can run 1 Km in 3 minutes 10 seconds. B can cover the same distance in 3 minutes and 20 seconds. By what distance A can beat B in 1 KM race?  The

difference of their time is 10 seconds. Thus B will run in 10 seconds:  He 1000 meters in 200 seconds thus he runs 5 meters in 1 seconds and will run 50 meters in 10 seconds (answer). www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

A man can row 5 KM per hour in still water. If the river is running @ 1KM per hour, it takes him 75 min. to row to a place and back. How far is the place?  

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Options: 2,3,4,5. The average speed of the person is 5. thus he will travel in 75 minutes 75/60 *5 = 6.25 that means the distance is approx. 3.12 or 3 Km. approximate. Speed while going is 6 and speed while coming is 4. thus average speed is : ¼ +1/6 = 10/24 *1/2 = 10/48 – reverse =4.8 km per hour. Thus 75/60 *4.8 = 6 = exact answer is 3 kM. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

I paid Rs. 6600 as simple interest. The bank charged 6% for 3 years, 8% for next 4 years and 12 % after that period (for 5 years) . What was my loan amount?  Let

us assume loan amount to be 100. interest during 1st 3 years: 18, next 4 years: 32 and next 5 years: 60. thus my interest is 110.  Loan amount is 100/ 110 * 6600 = 6000 answer. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

A train passes a pole in 15 seconds and a platform in 30 seconds. Length of platform is 100 meters. What is the length of train?  Let

the length of train be X. Speed = distance / time. Speed is same in both the cases so:  X / 15 = (X +100) / 30  Solving this: 2x = X +100  X = 100 meters. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Pipe A &B fill in 30 minutes each, C empties it in 25 minutes. All are open in an empty tank. How much time will it take to fill the tank?  1/30

+1/30 -1/25  LCM of 30 &25 is 150.  Thus 5+5-6 /150  =4 / 150 or 1/37.5  Thus tank will be filled up in 37.5 minutes. Answer.

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Pradeep attempts 90% questions. Out of those 80% answers are correct. Each question carries 2 marks and (-1). Pradeep gets 189 marks. How many questions did he attempt & ( what is maximum possible marks)? Options: 100, 125, 150, none.  Correct question = X, incorrect = Y  2X –Y =189 or X =( Y +189) /2  X+Y = either 100 / 125 / 150 or none.  X/4 = Y or Y +189 / 8 = Y  8Y = Y +189 or 7Y = 189. Y=27 and X = 108. thus total questions attempted is 135. 135*100/90 = 150 www.afterschoool.tk Thus maximum marks are 300 answer. AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS 

ABO UT A FTERSCH OOO L 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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Why such a programme? 

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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

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs     

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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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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 www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS 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)

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

www.afterschoool.tk social entrepreneurship for better society

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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS