30 June Maths I
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QUANTITATIVE APTITUDE Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschoool.tk www.afterschool.tk
There are 3 red, 6 blue and 5 orange balls. 3 balls are drawn with replacement, what is the probatility that all are blue? • Probability = favourable / total • 6/14* 6/14*6/14 = 216/2744 =.0787 answer.
www.afterschoool.tk
What is the number of diagonals that you can draw in a polygon of 7 sides?
• There is a formulae for this: n (n-3) /2 • 7(7-3) / 2 • 14 answer.
www.afterschoool.tk
The diameter of a circle circumscribing a square is 20 CM. What is its (square’s) side? • Diagonal = side * 2^1/2 • We know that diameter will be diagonal of a square. Diagonal is = 1.414214*side. • Thus side is 20/1.414214 =14.14 approx.
www.afterschoool.tk
7th term of AP is 17, 18th term is 39. what is 15th term? • In AP, A= first term, d= difference between 2 terms. TN= A + (n-1)d and sn=n/2(2a+(n-1)d) • TN= any term – term number • A+6d=17 • A+17d=39 • 11d= 22, d = 2. • Difference between 7th & 15th term is 8 – so solve it as under: • Thus in 7th term, we have to add 8*2=16 • 17+16= 33 answer. www.afterschoool.tk
2 trains running @ 30 & 12 pass each other in 90 seconds. Length of first train is 200 meters, what is the length of second. The trains are going in same direction. What will be the answer if they are in opposite direction? • Same direction: 30-12=18. speed = 18*5/18 = 5 m/second. 90*5= 450; the other train is 250 meters. • Opposite direction: 42*5/18= 11.66*90=1050 • Thus other train is ofwww.afterschoool.tk 850 meters.
All the medians of a triangle are equal. What type of triangle is it? • Equilateral trianlgle.
www.afterschoool.tk
Suresh has 570 in the form of Re. 1, .5 & .25 coins in the ratio (numbers) 3:5:7. How many Re..5 coins does he own? • 3*1 + 5*.5+7*.25= 7.25 • Value of .5 coins is 2.5/7.25 *570 = 196 • Value of Re. 1 coin is : 235 and that of .25 coins: 139 • No. of coins: 235, 392, 556. • Thus the number of Re. .5 coins is 392 www.afterschoool.tk answer.
Suresh has 570 in the form of Re. 1, .5 & .25 coins in the ratio (value) 3:5:7. How many Re..5 coins does he own? • 5/15*570=190 • Thus number of .5 coins is 380 ans.
www.afterschoool.tk
There is a triangle in a circle. Angle A is 70 degree, what is angle O? • Answer: 70*2= 140 A
o
www.afterschoool.tk
4 cows are tied at 4 corners of a square field of side 42 m. the cows just cant touch each other. What is ungrazed area? • The total area of 4 cows is equal to 1 square. Thus 22/7*21*21 =1386 • Total area = 42*42=1764. • Area ungrazed is : 1764-1386= 378 sq. meters. • Or we know that circle occupies 78.57%are of a square so ungrazed area is .21428*1764 = 378 answer www.afterschoool.tk
A conical tent has 90 degree angle at vertex. Ratio of its radius to its slant height is ? What is ratio of height to slant height? • Both have same answer. • 1:1.4142 • Or • 1:2^1/2 www.afterschoool.tk
ABC are collinear. A =3,4, B = 2,1 C = 8, X. What is X? Options: 19,13 • We know that in collinear points, area of triangle is zero. Apply the formula and solve it. • Formulae is: ½ [x1(y2-y3)+x2(y3y1)+x3(y1-y2)] • Solving this we get X = 19 answer. • =1/2 [3(1-X) + 2(X-4)+ 8(4-1)] = 0 • ½ [3-3x+2x-8+24] = 0 • ½ [19-x]=0 www.afterschoool.tk
B^3 = -729; what is (-b)^1/2? • B= -9 • Thus –b = 9 • Thus answer is 3 ans.
www.afterschoool.tk
ABOUT AFTERSCHOOOL 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
Why such a programme? • To promote people to take up entrepreneurship and help develop the society • To enable people to take up franchising and other such options to start a business / social development project • To enable people to take up social development as their mission • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
Who are our supporters? • Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. • You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.
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, BPO, KPO Accounting & Information system (with CA / CS /CMA) 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. / you may attend weekend classes Scholarships for those from poor economic background Latest and constantly changing curriculum – keeping pace with the time Placement for those who are interested Admissions open throughout the year Latest and most advanced technologies, books and study material www.afterschoool.tk
Components • • • • • • • • • • • • • •
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 Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)
www.afterschoool.tk
Pedagogy • • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects
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
Basic values at afterschoool • • • • • •
Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help • Ask fundamental questions : why, when, how & where? • Embrace change – and compete with yourself only
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
There are 3 red, 6 blue and 5 orange balls. 3 balls are drawn with replacement, what is the probatility that all are blue? • Probability = favourable / total • 6/14* 6/14*6/14 = 216/2744 =.0787 answer.
www.afterschoool.tk
What is the number of diagonals that you can draw in a polygon of 7 sides?
• There is a formulae for this: n (n-3) /2 • 7(7-3) / 2 • 14 answer.
www.afterschoool.tk
The diameter of a circle circumscribing a square is 20 CM. What is its (square’s) side? • Diagonal = side * 2^1/2 • We know that diameter will be diagonal of a square. Diagonal is = 1.414214*side. • Thus side is 20/1.414214 =14.14 approx.
www.afterschoool.tk
7th term of AP is 17, 18th term is 39. what is 15th term? • In AP, A= first term, d= difference between 2 terms. TN= A + (n-1)d and sn=n/2(2a+(n-1)d) • TN= any term – term number • A+6d=17 • A+17d=39 • 11d= 22, d = 2. • Difference between 7th & 15th term is 8 – so solve it as under: • Thus in 7th term, we have to add 8*2=16 • 17+16= 33 answer. www.afterschoool.tk
2 trains running @ 30 & 12 pass each other in 90 seconds. Length of first train is 200 meters, what is the length of second. The trains are going in same direction. What will be the answer if they are in opposite direction? • Same direction: 30-12=18. speed = 18*5/18 = 5 m/second. 90*5= 450; the other train is 250 meters. • Opposite direction: 42*5/18= 11.66*90=1050 • Thus other train is ofwww.afterschoool.tk 850 meters.
All the medians of a triangle are equal. What type of triangle is it? • Equilateral trianlgle.
www.afterschoool.tk
Suresh has 570 in the form of Re. 1, .5 & .25 coins in the ratio (numbers) 3:5:7. How many Re..5 coins does he own? • 3*1 + 5*.5+7*.25= 7.25 • Value of .5 coins is 2.5/7.25 *570 = 196 • Value of Re. 1 coin is : 235 and that of .25 coins: 139 • No. of coins: 235, 392, 556. • Thus the number of Re. .5 coins is 392 www.afterschoool.tk answer.
Suresh has 570 in the form of Re. 1, .5 & .25 coins in the ratio (value) 3:5:7. How many Re..5 coins does he own? • 5/15*570=190 • Thus number of .5 coins is 380 ans.
www.afterschoool.tk
There is a triangle in a circle. Angle A is 70 degree, what is angle O? • Answer: 70*2= 140 A
o
www.afterschoool.tk
4 cows are tied at 4 corners of a square field of side 42 m. the cows just cant touch each other. What is ungrazed area? • The total area of 4 cows is equal to 1 square. Thus 22/7*21*21 =1386 • Total area = 42*42=1764. • Area ungrazed is : 1764-1386= 378 sq. meters. • Or we know that circle occupies 78.57%are of a square so ungrazed area is .21428*1764 = 378 answer www.afterschoool.tk
A conical tent has 90 degree angle at vertex. Ratio of its radius to its slant height is ? What is ratio of height to slant height? • Both have same answer. • 1:1.4142 • Or • 1:2^1/2 www.afterschoool.tk
ABC are collinear. A =3,4, B = 2,1 C = 8, X. What is X? Options: 19,13 • We know that in collinear points, area of triangle is zero. Apply the formula and solve it. • Formulae is: ½ [x1(y2-y3)+x2(y3y1)+x3(y1-y2)] • Solving this we get X = 19 answer. • =1/2 [3(1-X) + 2(X-4)+ 8(4-1)] = 0 • ½ [3-3x+2x-8+24] = 0 • ½ [19-x]=0 www.afterschoool.tk
B^3 = -729; what is (-b)^1/2? • B= -9 • Thus –b = 9 • Thus answer is 3 ans.
www.afterschoool.tk
ABOUT AFTERSCHOOOL 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
Why such a programme? • To promote people to take up entrepreneurship and help develop the society • To enable people to take up franchising and other such options to start a business / social development project • To enable people to take up social development as their mission • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
Who are our supporters? • Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. • You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.
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, BPO, KPO Accounting & Information system (with CA / CS /CMA) 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. / you may attend weekend classes Scholarships for those from poor economic background Latest and constantly changing curriculum – keeping pace with the time Placement for those who are interested Admissions open throughout the year Latest and most advanced technologies, books and study material www.afterschoool.tk
Components • • • • • • • • • • • • • •
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 Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)
www.afterschoool.tk
Pedagogy • • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects
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
Basic values at afterschoool • • • • • •
Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help • Ask fundamental questions : why, when, how & where? • Embrace change – and compete with yourself only
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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