7 July Mathematics

8/14/2019 7 July Mathematics

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

MATHEMATICS

Afterschoool developing change makers

CENTRE FOR SOCIALENTREPRENEURSHIP

PGPSE PROGRAMME OPEN FOR ALLFREE FOR ALL


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MATHSDr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk
http://www.afterschool.tk/http://www.afterschoool.tk/http://www.afterschoool.tk/http://www.afterschool.tk/


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X/30 = 2/45, WHAT IS X?LET US CROSS MULTIPLY IT.

45 X = 60

X = 60/45

X = 1.33 ANSWER.


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FORTH PART OF A NUMBER

EXCEEDS THE SIXTH PART BY 6,

WHAT ARE THE NUMBERS?X/4 X/6 = 6

(6X-4X) /24 = 6

2X = 6*24

X = 3*24

X =72


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PR ODU CT OF 2 NUMBE RS IS 3200 ANDQUOTI ENT WHEN THE LAR GERNUMBE R IS DIVIDED B Y THE S MALLE RIS 2. WHAT ARE NUMB ER S?LET US ASSUME THAT NUMBERS

ARE X & Y.

XY = 3200; X/Y = 2X = 2Y Put the value of X in first

equation.

2y*y = 3200; 2y^2 = 3200. (divide bothby 2). : y^2 = 1600. or Y = 40 X =2y= 80.


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Denominator of a fraction exceeds

numerator by 2. if 5 is added to

numerator, fraction increases by

unity. What is fraction:?

Let us assume numerator = x

Let us assume denominator = y Y-X = 2; x = Y-2 add 5 to numerator:

(X + 5)/Y = x/y +1

(Y-2+5) /y = (Y-2) /Y +1

(Y +3) / Y = Y-2+Y / Y (multiply both sides by Y

denominator Y gets cancelled).

Y+3 = 2Y -2; -Y = -5; Y = 5, X = 3 answer.


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.di gi t in ten s place is 3 times the di gi tin unit s pl ace. If 54 is subtract ed f romthe number , the di gi ts are reversed.The number i s ? Options: 92,93,94,39 (solve by option). Let us assume that digit at unit place is X and

digit at tens place is Y. Y = 3X. (10Y +X)-54 = (10x+Y) 10Y+X-54=10x+y

9Y-9X =54 or Y-X = 6 (putting Y = 3x) 3X-X =6 or 2x =6, X = 3. Y = 9 The number is 93 anwer.


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2x+5y = 9 and 3x-y =5, what are

x & y? Let us equate X. Multiply first equation by 3 and second

equation by 2 (as in the first equation it is 2xand second equation it is 3x).

6x +15y = 27 and 6x -2y = 10 (both X areequal now).

17Y = 17 or Y = 17/17 = 1 Putting the value of Y in first equation. 2X +5 = 9 or 2X = 4 or X = 2 answer. ,


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2 numbers are such that twice the greater

number exceeds twice the smaller one by 18

and 1/3rd of the smaller and 1/5th of the

greater number are together 21. what arethe numbers?

Let us assume that the numbers are X & Y. Xis bigger that Y.

2x-2y = 18 (divide all by 2) or X Y = 9 or X =Y+9

1/5 x + 1/3 y = 21 (put value of X as Y +9) 1/5 (y+9) + 1/3 Y = 21 3Y+27 +5Y = 21*15 8Y = 315 -27 ; 8Y = 288 or Y = 288/8 = 36 and

Y = 27


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What are the roots in x^2 5x+6 =0

X^2 (sum of roots)X + product of roots = 0

Or

X =[-b + - square root of (b^2-4ac) ] / 2a A = 1. B = -5 ; C = 6 so 4ac = 24 and b^2 = 25

[5 + square root of (25-24)] /2

(5+1) /2 = 3 or (5-1) / 2 =2 ROOTS ARE 3 & 2 ANSWERS.


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Sum of 2 numbers is 8 and sum of

their squares is 34. what are the

numbers?Options:

7,10,

3,5

2,6

4,4

Solve by options : answer is option of 3,

5 ans.


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ABOUT A FTERSCH OOOLAfterschoool 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 forCS / CFP / CFA /CMA / FRM. This

course is also available online also. It also conductsworkshops 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 andother 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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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


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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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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 weekendclasses

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 studymaterial


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Components

Pedagogy curriculum and approach based on IIM Ahmedabad and ISBHyderabad (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 itsbranches in important cities in Indiaincluding Delhi, Kota, Mumbai, Gurgaonand other important cities.Afterschooolians will be responsible formanaging and developing these

branches and for promoting socialentrepreneurs.


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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
http://www.afterschoool.tk/http://www.afterschoool.tk/

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7 July Mathematics