9 June Maths I
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Maths Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
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A clock looses 20 minutes per day. It showed right time at 5.15 on 9-6-8. what will be he correct time, when the clock shows 8.41 am on 11-6-8 • Let us take a hypothetical example: • After 24 hours, the clock will show 4.55 pm, when actually time will be 5.15 pm. Here we can see that when real time has increased by 24*60 minutes, the clock has added 23*60 + 40 minutes. The ratio is 1440:1420. with this same ratio, we have: 39 hours and 26 minutes of gap, so real time will be: 1440/1420*(39*60+26) = 2399 or 2400 approx. 2400/60 gives us 40 hours. Thus at that time real time will be 9.15 AM Ans.
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A,B,C,D,E are consecutive numbers, what is the Arithmetic mean of these numbers?
• C
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A can do a work in 10 days, he works for 2 days, the remaining work is done by B in 4 days, Who is more efficient. If A & B together work on similar work, how much time will it take? • A’s one day’s work = 1/10, 2 days = 2/10 • Remaining work = 8/10, this is 4 days work, one day’s work = 8/10*1/4 = 1/5 • He will complete the work in 5 days. B is more efficient. Totol time by both: 1/10+1/5 = 15/50, reverse it: 50/15 =3.33Ans. www.afterschoool.tk
A & B can do a work in 8, B+C in 12 B alone can do it in 18 days. In how many days A+C can do it?
• C can do it in :1/12-1/18= 6/216 =1/36. • A = 1/8-1/18 =10/144 • A+C = 1/36+10/144 = 14/144 • Reverse it : 144/14 = 10.3 approx.
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LCM of two numbers is 168, sum of the 2 numbers is 140, what are the numbers? • Let us take factors of 168: • 2*2*2*3*7. The numbers can be : • X + Y = 140; possible combinations are (which are in multiple of 2/3/7) • 84 & 56; 28 + 112 etc. Here factors of 84 are: 2*2*3*7 & factors of 56 are 2*2*2*7 which is as per our requirements. But the factors of 28 are 2*2*7 and that of 112 are : 2*2*2*2*7, which is not as per our requirements. • Ans: 84 & 56
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Ratio of income & expenses is 5:4. Ratio of income to income of previous year is 10:9. Expenses of 2008 exceeded income of 2006 by 500, what was the income in 2006?
• Let us assume income of 2006= 9000, income of 2007, 10000, & 2008 = 11111.Expenses of 2008 = 8888. • The difference of 9000 – 8888 = 112 • If the difference is 112, income is 9000, • =9000*500/112 = 40178 approx. www.afterschoool.tk
If X +X/4 = 4, what is X? • • • •
X/1 +X/4 = 4 is equal to (4X +X)/4=4 4X +X = 16; 5X = 16 X = 3.2 Ans.
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X +4/X= 4, what is X? • • • • • •
X^2+4=4x X^2 -4X+4 = 0 X^2 -2x -2x +4 =0 X(x-2) -2(x-2) =0 X-2 =0 X=2 Ans. www.afterschoool.tk
5th part of a number exceed 7th part by 10. What is the number? • • • • •
Let us assume the number = x 5th part = x/5; 7th part = x/7 x/5 – x/7 = 10; 2x /35 =10; x = 350/2 = 175 X = 175 ans.
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6 friends have average height of 168 cm. Mayank with height of 170 cm leave the group. What is the new average height?
• The total height = 6*168 = 1008 • The new total height: 1008-170 = 838 • New average height: 838/5= 167.6 cm ans.
www.afterschoool.tk
A trader uses 800 gm weight instead of 1kg and adds 20% impurities and sells at cost. What is profit in %?
• Let us assume the cost is 1000 per 1000 grams. • Sale of 800 gram gives us 1200. the profit is 400 which is 50% ans.
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.
www.afterschoool.tk
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 • • • • •
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
www.afterschoool.tk
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 Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
www.afterschoool.tk
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. • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested
www.afterschoool.tk
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 • • • • • • • •
www.afterschoool.tk
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
www.afterschoool.tk
Branches • AFTERSCHOOOL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs. www.afterschoool.tk
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. www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
www.afterschoool.tk
A clock looses 20 minutes per day. It showed right time at 5.15 on 9-6-8. what will be he correct time, when the clock shows 8.41 am on 11-6-8 • Let us take a hypothetical example: • After 24 hours, the clock will show 4.55 pm, when actually time will be 5.15 pm. Here we can see that when real time has increased by 24*60 minutes, the clock has added 23*60 + 40 minutes. The ratio is 1440:1420. with this same ratio, we have: 39 hours and 26 minutes of gap, so real time will be: 1440/1420*(39*60+26) = 2399 or 2400 approx. 2400/60 gives us 40 hours. Thus at that time real time will be 9.15 AM Ans.
www.afterschoool.tk
A,B,C,D,E are consecutive numbers, what is the Arithmetic mean of these numbers?
• C
www.afterschoool.tk
A can do a work in 10 days, he works for 2 days, the remaining work is done by B in 4 days, Who is more efficient. If A & B together work on similar work, how much time will it take? • A’s one day’s work = 1/10, 2 days = 2/10 • Remaining work = 8/10, this is 4 days work, one day’s work = 8/10*1/4 = 1/5 • He will complete the work in 5 days. B is more efficient. Totol time by both: 1/10+1/5 = 15/50, reverse it: 50/15 =3.33Ans. www.afterschoool.tk
A & B can do a work in 8, B+C in 12 B alone can do it in 18 days. In how many days A+C can do it?
• C can do it in :1/12-1/18= 6/216 =1/36. • A = 1/8-1/18 =10/144 • A+C = 1/36+10/144 = 14/144 • Reverse it : 144/14 = 10.3 approx.
www.afterschoool.tk
LCM of two numbers is 168, sum of the 2 numbers is 140, what are the numbers? • Let us take factors of 168: • 2*2*2*3*7. The numbers can be : • X + Y = 140; possible combinations are (which are in multiple of 2/3/7) • 84 & 56; 28 + 112 etc. Here factors of 84 are: 2*2*3*7 & factors of 56 are 2*2*2*7 which is as per our requirements. But the factors of 28 are 2*2*7 and that of 112 are : 2*2*2*2*7, which is not as per our requirements. • Ans: 84 & 56
www.afterschoool.tk
Ratio of income & expenses is 5:4. Ratio of income to income of previous year is 10:9. Expenses of 2008 exceeded income of 2006 by 500, what was the income in 2006?
• Let us assume income of 2006= 9000, income of 2007, 10000, & 2008 = 11111.Expenses of 2008 = 8888. • The difference of 9000 – 8888 = 112 • If the difference is 112, income is 9000, • =9000*500/112 = 40178 approx. www.afterschoool.tk
If X +X/4 = 4, what is X? • • • •
X/1 +X/4 = 4 is equal to (4X +X)/4=4 4X +X = 16; 5X = 16 X = 3.2 Ans.
www.afterschoool.tk
X +4/X= 4, what is X? • • • • • •
X^2+4=4x X^2 -4X+4 = 0 X^2 -2x -2x +4 =0 X(x-2) -2(x-2) =0 X-2 =0 X=2 Ans. www.afterschoool.tk
5th part of a number exceed 7th part by 10. What is the number? • • • • •
Let us assume the number = x 5th part = x/5; 7th part = x/7 x/5 – x/7 = 10; 2x /35 =10; x = 350/2 = 175 X = 175 ans.
www.afterschoool.tk
6 friends have average height of 168 cm. Mayank with height of 170 cm leave the group. What is the new average height?
• The total height = 6*168 = 1008 • The new total height: 1008-170 = 838 • New average height: 838/5= 167.6 cm ans.
www.afterschoool.tk
A trader uses 800 gm weight instead of 1kg and adds 20% impurities and sells at cost. What is profit in %?
• Let us assume the cost is 1000 per 1000 grams. • Sale of 800 gram gives us 1200. the profit is 400 which is 50% ans.
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.
www.afterschoool.tk
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 • • • • •
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
www.afterschoool.tk
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 Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
www.afterschoool.tk
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. • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested
www.afterschoool.tk
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 • • • • • • • •
www.afterschoool.tk
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
www.afterschoool.tk
Branches • AFTERSCHOOOL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs. www.afterschoool.tk
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. www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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