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MATHSMATHSDr. T.K. Jain.Dr. T.K. Jain.

AFTERSCHOOOLAFTERSCHOOOLM: 9414430763M: 9414430763

tkjainbkn@yahoo.co.intkjainbkn@yahoo.co.in

www.afterschool.tkwww.afterschool.tk

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A can do a piece of work in 20 days. He workedfor 2 days. Then B complted remaining work in

9 days. How much time will be taken by B in

completing the entire work alone? As one days work = 1/20

2 days work = 2/20 =1/10

Remaining work = 9/10 Bs one days work = 9/10 *1/9 =1/10

Thus B will be able to complete thework in 10 days.

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ut t ese in ascen ingorder?

3/8, 7/16, 5/12 1/6 3/8 is equal to 6/16 therefore it is smallerto 7/16.

1/6 is equal to 2/12, therefore it is saller

to 5/12. LCM of 16 & 12 is 48, multiply it to all thenumbers,

We get 18, 21, 20, 8,

The ascending order: 1/6, 3/8, 5/12, 7/16ans.

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A:B 2:3, B:C = 5:9 A:B:C? A:B 2:3, B:C = 5:9

the ratio (using multiplyin approach). 10:15:27. ans.

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Price of Petrol 30%, how muchshould consumtpion be reduced to

keep the budget the same? Increase in consumption 100 to 130

Reduce it from 130 to 100

Means 30 on 130 30/130 *100 = 23.1% approx. ans.

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t o a property is wort10000. what is the worth of

7/10th

of that property? 2/5 is eqaul to 4/10

We have to get 7 against 4.

7/4*10000 = 17500 ans. Total value of property = 5/2*10000

= 25000

7/10th is 1/10 *25000 = 17500

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A business person has 20% margin, hegives 10% discount. What is his net

profit in %? 100 + 20 = 120

Discounting 10%

120 12 = 108 Gain is 8 %ans

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65% students pass in English, 56% passin Maths. 25% failed in both the papers.

What % passed in both? 100-25 = 75

65+56 X = 75

-X=75-121 X= 46%

46 % passed in both the papers.

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In ow many ways can ewritten as a product of two

natural numbers? Factors:

1,2,3,4,6,9,12,18,36

1*36; 2*18, 3*12, 4*9,6&6 Thus there are 5 ways.

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In ow many ways can ewritten as a product of two

integers? 10 possibilities

(5 + 5) (negative numbers are also

included).

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The value of a number is 5 times thesum of its digits. Which is the number:

36,27,45,18 45 ans.

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Afterschooolian Raju spends ofworking time in reading, 2/3rd ofremainign time on TV. Suppose he

spends 4 hours on TV. What is hisworking time?

Remaining time 2/3 of = 6/12

Thus he spends time on TV,

Total working time with him = 8hours.

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ow many num ers arethere between 200

&300which have only one 5? There are 9 as 205, 215, 225 and soon (dont take 255).

250,251,252,253,254,256,257,258,259

Total = 18 ans.

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Divide 417 among ABCD,, A gets13>B, B gets 9 >C, and c should get

6> D. What the shares of A,B,C,D? Let us assume that D get X. C gets X +6 B gets X+ 15

A Gets X + 28 X+X+6+X+15+X+28 = 417 4X=417-49 X = 368/4 = 92 A = 120, B =107, C = 98, D = 92 Ans.

Aft h li R j h t k l f R 2

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Afterschooolian Rajesh takes a loan of Rs. 2Crore and gave them as micro credit (micro

finance) @5% and gives loan to poor people at4% for 6 years. He pays at simple interest and

charges compound interest. What is his loss in%?

Let us do calculation on 100 Rs. Simple interest for 3 years = 30. Compound interest for 3 years is : 1.04*1.04*1.04*1.04*1.04*1.04 1 =

.265319 The % loss is .035% in six years or

approximately .006% per annum.

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A train @ 72 km p/h. it takes 7 secondsto cross a tree. What is the length of

the train? Convert speed into meters/ second

72*5/18 =20 meters / s

Speed covered in 7 seconds = 7*20 = 140 meters.

Length of train is 140 meters.

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ThanksAfterschoool conducts three year integrated PGPSE(after class 12th along with IAS / CA / CS) and 18month PGPSE (Post Graduate Programme in Social

Entrepreneurship) along with preparation for CS /CFP / CFA /CMA / FRM. This course is alsoavailable online also. It also conducts workshops onsocial entrepreneurship in schools and colleges allover India start social entrepreneurship club in

your institution today with the help fromafterschoool and help us in developing society.

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About AFTERSCHOOOL PGPSE the best programme for developing

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Workshops from

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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

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

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

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Pedagogy Case analysis Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial

visits Presentations Group discussions and group projects Periodic self assessment

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Branches AFTERSCHOOOL will shortly openits branches in important cities inIndia including Delhi, Kota, Mumbai,Gurgaon and other important cities.Afterschooolians will be responsiblefor managing and developing these

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Case Studies We want to write case studies onsocial entrepreneurs, first

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