23 June Mathematics i

8/14/2019 23 June Mathematics i

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www.afterschoool.tkwww.afterschoool.tk

MATHEMATICSMATHEMATICSDr. T.K. Jain.Dr. T.K. Jain.AFTERSCHOOOLAFTERSCHOOOL

Centre for social entrepreneurshipCentre for social entrepreneurship

BikanerBikaner

M: 9414430763M: 9414430763

[email protected]@yahoo.co.in

www.afterschool.tkwww.afterschool.tk

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


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The perimeter / circumferenceThe perimeter / circumference

of a circle, triangle, rectangleof a circle, triangle, rectangle

and square are equal, whichand square are equal, whichhas the highest area?has the highest area?

Let us assume perimenter to be 44.Let us assume perimenter to be 44. Circle has area of 154.Circle has area of 154. Square has area of 121Square has area of 121

Rectangle will have area less thanRectangle will have area less than121 so no need to calculate121 so no need to calculate Side of equilateral triangle = 44/3 =Side of equilateral triangle = 44/3 =

14.614.6 1.732/4 * 14.6*14.6 = 92 a rox.1.732/4 *(14.6*14.6) = 92 a rox.


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Reduce 357/609 to lowestReduce 357/609 to lowest

terms?terms? Find HCF of these 2 numbers.Find HCF of these 2 numbers. Divide 609 by 357, remainder is 252,Divide 609 by 357, remainder is 252,

now divide 357 by 252, remainder isnow divide 357 by 252, remainder is

105, now divide 252 by 105, we get105, now divide 252 by 105, we get42 as remainder, now divide 105 by42 as remainder, now divide 105 by42, we get 21 as the remainder and42, we get 21 as the remainder and

21 completely divides 42 it is HCF.21 completely divides 42 it is HCF. Divide 357 & 609 both by 21, we getDivide 357 & 609 both by 21, we get17/29 answer.17/29 answer.


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Find the odd one out:Find the odd one out:

25,36,49,81,121,169,22525,36,49,81,121,169,225

36 is the answer rest all are36 is the answer rest all are

squares of odd numbers.squares of odd numbers.


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,,banana and 56 orange trees,banana and 56 orange trees,

they have to be put in suchthey have to be put in such

form that each row containsform that each row contains

only one type of trees and no.only one type of trees and no.

of trees in a row are equal. Howof trees in a row are equal. Howmany rows will be there?many rows will be there? Find HCF of 21, 42,56 = 7Find HCF of 21, 42,56 = 7

Each type of tree will have 21/7,Each type of tree will have 21/7,42/7, 56/7 rows thus total : 3+6+8 =42/7, 56/7 rows thus total : 3+6+8 =

17 rows.17 rows.


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Find (100000)^2-Find (100000)^2-

(99999)^2?(99999)^2?This is the example of X^2-Y^2 =This is the example of X^2-Y^2 =

(X+Y) (X-Y)(X+Y) (X-Y)

X + Y = 199999X + Y = 199999

X-Y = 1X-Y = 1

199999*1 = 199999199999*1 = 199999

Thus answer is 199999 answer.Thus answer is 199999 answer.


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One side of a square isOne side of a square is

increased by 10%, what isincreased by 10%, what is

change in its area?change in its area? Let us assume side of square to be 1.Let us assume side of square to be 1.now the side becomes 1.1now the side becomes 1.1

1.1*1.1 = 1.211.1*1.1 = 1.21

Earlier area was 1*1 = 1Earlier area was 1*1 = 1

Change in area = .21 (or 21%).Change in area = .21 (or 21%).


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One side of a cube is increasedOne side of a cube is increased

by 10%, what is change in itsby 10%, what is change in its

volume?volume? Let us assume side of cube to be 1.Let us assume side of cube to be 1.now the side becomes 1.1now the side becomes 1.1

1.1*1.1*1.1 = 1.3311.1*1.1*1.1 = 1.331

Earlier area was 1*1*1 = 1Earlier area was 1*1*1 = 1



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One side of an equilateralOne side of an equilateral

triangle is increased by 10%,triangle is increased by 10%,

what is change in its area?what is change in its area? Let us assume side of equilateralLet us assume side of equilateral

triangle to be 1. now the sidetriangle to be 1. now the side

becomes 1.1becomes 1.1

1.1*1.1 = 1.21 *(1.732/4) =.52391.1*1.1 = 1.21 *(1.732/4) =.5239

Earlier area was 1*1 = 1 *Earlier area was 1*1 = 1 *

(1.732/4)=.433(1.732/4)=.433


(.5239-.433 = .09)(.5239-.433 = .09)


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What % of 7.2 KG is 18What % of 7.2 KG is 18

grams?grams? = 18 / 7200 *100 = .25 % answer= 18 / 7200 *100 = .25 % answer


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Convert 8.333% Into aConvert 8.333% Into a

fraction.fraction. 8+ 3/98+ 3/9

75/975/9

Divide it by 100Divide it by 100 75/9 *1/10075/9 *1/100

= 1/12 answer= 1/12 answer


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deposited 20% income asdeposited 20% income as

savings in bank account. Now Isavings in bank account. Now I

have Rs. 19190 with me. What ishave Rs. 19190 with me. What is

my gross income?my gross income?

To get income after tax, we shouldTo get income after tax, we shouldadd back the money deposited inadd back the money deposited in

bank first.bank first.

19190 *100/80 = 2397.519190 *100/80 = 2397.5To find gross income, we will addTo find gross income, we will add

back the tax paid by us:back the tax paid by us:

23987.5*100/95=2525023987.5*100/95=25250


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p/q +q/p = 9, what is p^2/q^2p/q +q/p = 9, what is p^2/q^2

+ q^2/p^2?+ q^2/p^2? Let us assume p/q = XLet us assume p/q = X Let us assume q/p = YLet us assume q/p = Y X+Y = 9; square it: X^2 + 2XY+Y^2X+Y = 9; square it: X^2 + 2XY+Y^2

= 81= 81 We know that Y is reverse of X andWe know that Y is reverse of X and

XY = 1XY = 1

X^2 + 2+Y^2 = 81X^2 + 2+Y^2 = 81Therefore, X^2+Y^2 = 81-2 = 79Therefore, X^2+Y^2 = 81-2 = 79

answer.answer.

(remember (x+y)^2 = X^2+Y^2(remember (x+y)^2 = X^2+Y^2

i i 8 %


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In an examination, 85%In an examination, 85%

students were successful. Thestudents were successful. The

number of students who failednumber of students who failedwas 300. How many studentswas 300. How many students

appeared in the examination.appeared in the examination. 15% students failed in the15% students failed in the

examination.examination.

Thus total number of students is :Thus total number of students is :

=100/15 * 300 = 2000 students=100/15 * 300 = 2000 students

answers.answers.


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A % of B plus B% of A is equalA % of B plus B% of A is equal

to?to? Let us assume A = 100, and B = 200.Let us assume A = 100, and B = 200.Thus 200 + 200 = 400, which is B%Thus 200 + 200 = 400, which is B%

of B.of B.

Let us assume A = 100, and B = 50.Let us assume A = 100, and B = 50.Thus 50+50 = 100, which is A% of AThus 50+50 = 100, which is A% of A

Thus the number is A / B % of A or BThus the number is A / B % of A or B(whichever is higher).(whichever is higher).


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200 is X % of 6000. what is200 is X % of 6000. what is

X?X? 3.333.33


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What % of 2.5 is 7.5?What % of 2.5 is 7.5?

300% answer300% answer


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What is the average of first 5What is the average of first 5

multiples of 123?multiples of 123?

123*3 = 369 answer.123*3 = 369 answer.


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V l f 2 b i tiV l f 2 b i ti


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Volumes of 2 cubes are in ratioVolumes of 2 cubes are in ratio

of 1:8, what is the ratio of theirof 1:8, what is the ratio of their

sides?sides? 1:21:2


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Ratio of age of father & son isRatio of age of father & son is

4:1 and product of their age is4:1 and product of their age is

196.what will be ratio of their196.what will be ratio of theirage 5 years hence?age 5 years hence?

4x*1x = 1964x*1x = 196

4x^2=1964x^2=196

X^2= 49X^2= 49

X= 7, the ages are: 28 & 7X= 7, the ages are: 28 & 7 After 5 years, their ages will be : 33After 5 years, their ages will be : 33

& 12.& 12.

Thus the ratio will be 33:12 answer.Thus the ratio will be 33:12 answer.


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4X=7B=2Y=3Z, wha are the4X=7B=2Y=3Z, wha are the

ratio of XBYZ?ratio of XBYZ?

4,7,2,3 - is it the answer4,7,2,3 - is it the answer

Wrong.Wrong.

Easiest way is : , 1/7, & 1/3, nowEasiest way is : , 1/7, & 1/3, nowtake ratio (LCM of 4,7,2,3 andtake ratio (LCM of 4,7,2,3 and

multiply LCM to these numbers andmultiply LCM to these numbers and

get the ratio).get the ratio).

LCM is 84, multiply these numbers toLCM is 84, multiply these numbers to

84.84.

21:12:42:28 answer.21:12:42:28 answer.


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ABOUT AFTERSCHOOOLABOUT AFTERSCHOOOL

Afterschoool conducts three year integratedAfterschoool conducts three year integrated

PGPSE (after classPGPSE (after class 1212thth along withalong with IAS / CA /IAS / CA /

CSCS) and 18 month PGPSE (Post Graduate) and 18 month PGPSE (Post Graduate

Programme in Social Entrepreneurship) alongProgramme in Social Entrepreneurship) alongwith preparation forwith preparation for CS / CFP / CFA /CMA /CS / CFP / CFA /CMA /

FRMFRM. This course is also available online also. It. This course is also available online also. It

also conducts workshops on socialalso conducts workshops on social

entrepreneurship in schools and colleges all overentrepreneurship in schools and colleges all over

India start social entrepreneurship club in yourIndia start social entrepreneurship club in yourinstitution today with the help from afterschooolinstitution today with the help from afterschoool

and help us in developing society.and help us in developing society.


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Why such a programme?Why such a programme?

To promote people to take upTo promote people to take up

entrepreneurship and help develop theentrepreneurship and help develop the

societysociety

To enable people to take up franchisingTo enable people to take up franchisingand other such options to start a businessand other such options to start a business

/ social development project/ social development project

To enable people to take up socialTo enable people to take up social

development as their missiondevelopment as their mission

To enable people to promote spiritualityTo enable people to promote spirituality

and positive thinking in the worldand positive thinking in the world


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Who are our supporters?Who are our supporters?

Afterschoolians, our pastAfterschoolians, our past

beneficiaries, entrepreneurs andbeneficiaries, entrepreneurs and

social entrepreneurs are supportingsocial entrepreneurs are supporting

us.us.You can also support us notYou can also support us not

necessarily by money but by beingnecessarily by money but by being

promotor of our concept and ourpromotor of our concept and ourideas.ideas.


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About AFTERSCHOOOL PGPSE theAbout AFTERSCHOOOL PGPSE the

best programme for developing greatbest programme for developing great

entrepreneursentrepreneurs Most flexible, adaptive but rigorousMost flexible, adaptive but rigorous

programmeprogramme

Available in distance learning modeAvailable in distance learning mode

Case study focused- latest casesCase study focused- latest cases Industry oriented practical curriculumIndustry oriented practical curriculum

Designed to make you entrepreneurs notDesigned to make you entrepreneurs not

just an employeejust an employee Option to take up part time job so earnOption to take up part time job so earn

while you learnwhile you learn

The only absolutely free course on internetThe only absolutely free course on internet


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Workshops fromWorkshops from

AFTERSCHOOOLAFTERSCHOOOL IIF, DelhiIIF, Delhi CIPS, JaipurCIPS, Jaipur ICSI Hyderabad BranchICSI Hyderabad Branch

Gyan Vihar, JaipurGyan Vihar, Jaipur Apex Institute of Management, JaipurApex Institute of Management, Jaipur Aravali Institute of Management, JodhpurAravali Institute of Management, Jodhpur Xavier Institute of Management,Xavier Institute of Management,

BhubaneshwarBhubaneshwar Pacific Institute, UdaipurPacific Institute, Udaipur Engineering College, HyderabadEngineering College, Hyderabad


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Flexible Specialisations:Flexible Specialisations:

Spiritualising business and societySpiritualising business and society Rural development and transformationRural development and transformation HRD and Education, Social DevelopmentHRD and Education, Social Development NGO and voluntary workNGO and voluntary work

Investment analysis,microfinance and inclusionInvestment analysis,microfinance and inclusion Retail sector, BPO, KPORetail sector, BPO, KPO Accounting & Information systemAccounting & Information system (with CA / CS(with CA / CS

/CMA)/CMA) Hospital management and Health careHospital management and Health care Hospitality sector and culture and heritageHospitality sector and culture and heritage Other sectors of high growth, high technology andOther sectors of high growth, high technology and

social relevancesocial relevance


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Salient features:Salient features:

The only programme of its kind (in the whole world)The only programme of its kind (in the whole world) No publicity and low profile courseNo publicity and low profile course For those who want to achieveFor those who want to achieve success in lifesuccess in life not just a not just a

degreedegree Indepth knowledge andIndepth knowledge and expertiseexpertise

Professional approac: World class approachProfessional approac: World class approach Strong intellectual and business capabilitiesStrong intellectual and business capabilities FlexibleFlexible you may stay for a month and continue the rest you may stay for a month and continue the rest

of the education by distance mode. / you may attendof the education by distance mode. / you may attendweekend classesweekend classes

Scholarships for those from poor economic backgroundScholarships for those from poor economic background LatestLatest and constantly changing curriculum keeping paceand constantly changing curriculum keeping pace

with the timewith the time PlacementPlacement for those who are interestedfor those who are interested Admissions open throughout the yearAdmissions open throughout the year Latest and most advanced technologies, books and studyLatest and most advanced technologies, books and study

materialmaterial


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ComponentsComponents

Pedagogy curriculum and approach based on IIM Ahmedabad andPedagogy curriculum and approach based on IIM Ahmedabad andISB Hyderabad (the founder is alumnus from IIMA & ISBISB Hyderabad (the founder is alumnus from IIMA & ISBHyderabad)Hyderabad)

Meditation, spiritualisation, and self developmentMeditation, spiritualisation, and self development Essential softwares for businessEssential softwares for business Business plan, Research projectsBusiness plan, Research projects

Participation in conferences / seminarsParticipation in conferences / seminars Workshops on leadership, team building etc.Workshops on leadership, team building etc. Written submissions of research projects/articles / papersWritten submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneursInterview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newslettersEditing of journals / newsletters Consultancy / research projectsConsultancy / research projects Assignments, communication skill workshopsAssignments, communication skill workshops Participation in conferences and seminarsParticipation in conferences and seminars Group discussions, mock interviews, self development diaryngGroup discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)Mind Power Training & writing workshop (by Dr. T.K.Jain)


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PedagogyPedagogy

Case analysis,Case analysis, Articles from Harvard Business ReviewArticles from Harvard Business Review Quiz, seminars, workshops, games,Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visitsVisits to entrepreneurs and industrial visits Presentations, Latest audio-visualsPresentations, Latest audio-visuals Group discussions and group projectsGroup discussions and group projects Periodic self assessmentPeriodic self assessment Mentoring and counsellingMentoring and counselling Study exchange programme (with institutions outStudy exchange programme (with institutions out

of India)of India) Rural development / Social welfare projectsRural development / Social welfare projects


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BranchesBranches

AFTERSCHOOOL will shortly open itsAFTERSCHOOOL will shortly open itsbranches in important cities in Indiabranches in important cities in Indiaincluding Delhi, Kota, Mumbai,including Delhi, Kota, Mumbai,

Gurgaon and other important cities.Gurgaon and other important cities.Afterschooolians will be responsibleAfterschooolians will be responsiblefor managing and developing thesefor managing and developing thesebranches and for promoting socialbranches and for promoting social

entrepreneurs.entrepreneurs.


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Case StudiesCase Studies

We want to write case studies onWe want to write case studies on

social entrepreneurs, first generationsocial entrepreneurs, first generation

entrepreneurs, ethical entrepreneurs.entrepreneurs, ethical entrepreneurs.

Please help us in this process. HelpPlease help us in this process. Helpus to be in touch with entrepreneurs,us to be in touch with entrepreneurs,

so that we may developso that we may develop

entrepreneurs.entrepreneurs.


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Basic values at afterschooolBasic values at afterschoool

Share to learn moreShare to learn more Interact to develop yourselfInteract to develop yourself Fear is your worst enemyFear is your worst enemy

Make mistakes to learnMake mistakes to learn Study & discuss in a groupStudy & discuss in a group Criticism is the healthy route to mutualCriticism is the healthy route to mutual

support and helpsupport and help

Ask fundamental questions : why, when,Ask fundamental questions : why, when,how & where?how & where? Embrace change and compete withEmbrace change and compete with

yourself onlyyourself only

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


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www afterschoool tkwww afterschoool tk

www.afterschoool.tkwww.afterschoool.tksocial entrepreneurship forsocial entrepreneurship for

better societybetter society
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23 June Mathematics i

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