2 June Maths Ii

  • November 2019
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MATHS Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk

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Which is higher 11/46 or 234 /975? • Taking LCM of 975 & 46 = 975*46 • Multiplying this number to both the numbers, we get: • 11*975 and 234*46. • We get 10725 & 10764. thus second fraction is greater. Ans.

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What is the difference in face value and place value of 7 in 275? • 7-70 = 63

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A & B have income in ratio 3:2 and their expenses are in ratio of 5:3 and their savings are 1500 each. What are their expenses & income? • 3x-5y = 1500, 2x-3y = 1500, • Multiplying first equation by 2 and & II by 3, we get: 6x-10y = 3000 and 6y-9y=4500 when subtract them from each other, we get, y = 1500 • Putting this value in equation 1, we get: 3x = 1500+7500;, x=3000. • Income of A=9000, B = 6000 and their expenses are A =7500, B = 4500. ans.

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Which letter will come when you start counting 15 letters from left of 20 letter right of alphabet series, when you start counting from your left.

• First start counting from your left – a,b,c,d,e,f,g,h,I,j,k,l,m,n,o,p … upto 20, we get T. Now move left from this letter. Start counting 15 as s, r,q,p, .. So on till 15 letters. We get E. • E is the answer www.afterschoool.tk

I purchased @ 4 lemonsfor Rupee 1/, how will I sell so that I earn 20% profit? • Cost per lemon = 25 paise • Add profit: = 25+5 = 30 • We can sell @ 10 lemons for Rs. 3 or @ 5 lemons for Rs. 5 Ans.

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Four persons will complete the work in 24 days. After 6 days of work, we have urgent work. In order to complete the remaining work in 1 days, how many persons will be required?.

• • • • •

One day’s work: 1/24 6 days’ work: 6* 1/24 = ¼ Remaining work: ¾ Complete man work: 4*24 = 96 ¾ work requires: 96*3/4 = 72 workers will be required.

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What is the sum total of all the numbers between 200 & 400 which are divisible by 7? • This question is a question of AP • total of all numbers till 200: • = n/2 (first +last) = 28/2(7+196) = 14*203 = 2842 • Total upto 400 numbers: 57/2(7+399) = 11571. • The difference of these two numbers is : 11571-2842 = 8729 ans.

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What are odds in favour of getting a multiple of 3 when you toss a die once? • • • •

Multiples of 3 are 3, 6. Others are 1,2,4,5, Odds in favour are : 2:4 ans.

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What is the probability of getting a total of 11 or more when you throw dice twice? • The total number of possibilities are : 6*6 = 36 • The total number of possibility of 11 or more are: 3 (5+6 or 6+5 or 6+6). • Thus probability is 3 / 36 or 1/12 ans.

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A square is enlarged by increasing both the sides by 10% each, what is the net increase in its area?

• Let us assume, one side 100, area: 10000 • New side: 110, new area: 110*110 = 12100. Increase in side: 2100 on 10000. • In terms of percentage, it is 21% in total area.

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I receive Rs. 10000 today. I had deposited some money two years yeas back at 20% half yearly compounding interest. What was the amount that I had deposited?

• 10000/ (1.1*1.1*1.1*1.1) = • 10000/1.4641 • =6830 ans.

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I invest Rs. 10000 today for two years yeas at 20% half yearly compounding interest. What will be the amount that I will get?

• 10000*1.1*1.1*1.1*1.1 • =10000*1.4641 • =14641 Ans.

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One square, one circle & one equilateral triangle have equal areas. What is the ratio of side of square, radius of circle and base of triangle?

• Let us assume the area to be 196 for each • Side of square: 14. • Radius of circle: square root of (196/ pi) = 7.89 • Side of triangle = 4/3^2 (196) =18.4 • The ratio is : 14:7.9:18.4 ans. www.afterschoool.tk

How many factors are possible in 15? • The factors are: 3*5 • (n+1) (n+1) -1 • Here we have one 3 and one 5 so n is 1 each. • (2)(2) – 1 • =3 Ans • Check it : 3, 5, 15 . www.afterschoool.tk

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Thanks Afterschoool conducts three year integrated PGPSE (after class 12 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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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 www.afterschoool.tk

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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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 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 wants to achieve success in life – not just a degree • Indepth knowledge and expertise • Professional approach • Strong intellectual and business capabilities • World class approach • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time

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Components Meditation, spiritualisation, and self development Business plan Essential softwares for business 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 • Mentoring and counselling

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www.afterschoool.tk social entrepreneurship for better society

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