16 June Maths

MATHS Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk

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2 Trains travelling towards each other at speeds of 66 & 54 Km p.h. are 2 KM apart. Lengths of these trains are 300 & 450 meters respectively. How much time will they take to pass each other?

• Total speed = 66+54 = 120 • Speed in m/s = 120 *5/18 =33.33 (100/3) • Time = distance / speed • 2750 /(100/3) = 82.5 www.afterschoool.tk

At what rate were the bananas sold per dozen, if by bargaining to get one banana per rupee more, I saved Re. 1 Per dozen. (1) 4 (2) 3 (3)8 (4) 12 • Let us assume that we are getting banana @ X per Dozen. • ((12/x) +1) gives us rate of X-1 • Now try from options. • Let us try for 1st option. 12/4 = 3, we get 4 banana per Re. 1. now we get 12 banana for Rs. 3. thus this is the answer.

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There is a traianlge with sides 5, 12, 13, what is its area? • It is a right angle triangle, there fore area : ½ * 5*12 = 30 • Or use detailed hero formulae: • ½ (5+12+13) = 15 • Sqrt (15* (15-5) * (15-12) * (15-13)) = = sqrt (15*10*3*2) = 30

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The previous triangle revolves around its hypoteneuse, what is its volume? • It is the case of a cone. The hypoteneuse is 13 – it becomes height. • Radius is to be calculated. ½ *5*12 = ½ *13 *R ; R = 60 /13 • 1/3 *pi*60/13 * 60 /13 *13 = • 1/3*3.142857*60/13*60 = 290 sq. m.

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We want to make 21600 a cube. Which is the smallest number we should multiply or divide to it?

• Let us factorise 21600. • =2*2*2*3*3*3*2*2*5*5 • We should multiply it by 10 ans.

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A general wishing to draw up 64025 men in the form of a solid square finds that he has 16 soldiers extra. What is the number of soldiers in his front row?

• 64025-16 = 64009 • Square root of 64009 = 253 • Therefore there are 253 soldiers in front row.

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I earn Rs. 1500 by investing in 15 % debentures. I pay 1% brokerage. What is my investment? What is my investment if market price is 104?

• Investment is 1500 * 100 / 15 = 10000 • Add brokerage to this: • 10000 + 100 = 10100 ans. • If market price is 104: • 104/100 *10000 = 10400 • Add brokerage : 10400 +104 = 10504 www.afterschoool.tk

Thanks 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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Workshops from AFTERSCHOOOL • • • • • • • • •

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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

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• Case analysis • Quiz, seminars, workshops, games, • Visits to entrepreneurs and industrial visits • Presentations • Group discussions and group projects • Periodic self assessment • Mentoring and counselling

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