15 June Aptitude Test
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Aptitude Aptitude test test Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
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A cone is divided into 2 parts by drawing aplane through the mid-points of its axis parallel te volumes of the two the base. The ratio of the volume of 2 parts will be? • Let us take height and radius to be 4 each for original cone. The volume will be 64 pi. Now if we cut it. The height & radius of upper cone will be 2 each, thus the volume of the upper cone will be 8pi. The volume of lower cube will be 56 pi. Thus their ratio is 8:56 or 1:7 for upper and lower cone respectively. Ans.
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A container contains milk and water in the ratio of 3:2. Total quantity is 50 liters. Ten liters of the solution is removed and replaced by water. What is the milk in final solution, if we do such replacements twice?
• Original milk = 3/5 *50 = 30 • We undertake 2 replacements. These are as under: 4/5 *4/5 * 30 = 16/25*30 = 19 liters approx. ans
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In the previous question, if we remove 25 liters of solution and replace it with water in the third instance, what is the milk left in final solution?
• We will solve similarly: • ½*4/5*4/5*30 = 9.6 liters approx. • Now water will be 50-9.6 = 40.4 liters. Ans.
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A Garden has area of 2000 Sq. M. and has length and width in ratio of 5:4. A road runs inside garden around perimeter and has area of 344 sq.m. What is the width of the road? • 5x *4x = 2000; x^2 = 100, Length = 50, width = 40. area of garden without roads is : 1656. • (50-x)(40-x) = 1656. 2000-90x+x^2 = 1656; X^2-90X+344 =0; • X^2 -86X – 4X +344 = 0; x = 86 or 4 • We will take the value of X as 4; and verify it as: 46*36 = 1656 • Thus the width of Road is 2 meters (4/2) ans. www.afterschoool.tk
33 untrained labourers can do a work in 15 days of 12 hours each. How many trained workers will do 50% extra work in 11 days of 9 hours each. 2 trained workers are equal to 5 untrained workers.
• The old no. of 33 is equal to 33 *2/5 trained workers = 66/5 • New work is 3/2 of the previous work. • 66/5 *3/2 *12/9 *15/11 =36 • Thus 36 trained workers are required. Ans. www.afterschoool.tk
What is the remainder when 7^187 is divided by 800? • We know that 7^187 is equal to 7^184 * 7^3. • (184 /4 = 46) • 7^4 = 2401 which gives remainder of 1 (2400 is divisible by 800). • So remainder of 7^184 is 1. • 7^3 = 343 thus 343*1 gives final remainder equal to 343 ans.
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On a circular track of 1200 meters, Sumit and Hulash are running. Their speeds are 12 & 8 km / p.h. The are running in opposite direction. They started together. When will they meet 2nd time?
• Their combined speed is 20 km. per hour. Converting this speed into M/S we get 20 *5/18 = 5.5 • They will meet second time after covering 2400 meters, so • 2400 / 5.5 = 436 seconds or 7.3 minutes approx.
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There are 2 series as below: (1) 16,21,26.. (2)17,21,25… find sum of first 10 common items in these two series.
• • • • •
The series will be 21,41,61 … Sum of first 10 items will be: 10/2 (42 + (9)20) =5 *(42 +180) = 5*222 =1110. ans.
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Find the odd one out in given figures? α π σ Ω
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ANSWERS: • All these are greek symbols. The first three are used in mathematics and statistics, but the last one is not used in maths and statistics. Forth symbol is used in physics – so it is odd one out.
www.afterschoool.tk
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 • • • • • • • • • • •
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
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 cone is divided into 2 parts by drawing aplane through the mid-points of its axis parallel te volumes of the two the base. The ratio of the volume of 2 parts will be? • Let us take height and radius to be 4 each for original cone. The volume will be 64 pi. Now if we cut it. The height & radius of upper cone will be 2 each, thus the volume of the upper cone will be 8pi. The volume of lower cube will be 56 pi. Thus their ratio is 8:56 or 1:7 for upper and lower cone respectively. Ans.
www.afterschoool.tk
A container contains milk and water in the ratio of 3:2. Total quantity is 50 liters. Ten liters of the solution is removed and replaced by water. What is the milk in final solution, if we do such replacements twice?
• Original milk = 3/5 *50 = 30 • We undertake 2 replacements. These are as under: 4/5 *4/5 * 30 = 16/25*30 = 19 liters approx. ans
www.afterschoool.tk
In the previous question, if we remove 25 liters of solution and replace it with water in the third instance, what is the milk left in final solution?
• We will solve similarly: • ½*4/5*4/5*30 = 9.6 liters approx. • Now water will be 50-9.6 = 40.4 liters. Ans.
www.afterschoool.tk
A Garden has area of 2000 Sq. M. and has length and width in ratio of 5:4. A road runs inside garden around perimeter and has area of 344 sq.m. What is the width of the road? • 5x *4x = 2000; x^2 = 100, Length = 50, width = 40. area of garden without roads is : 1656. • (50-x)(40-x) = 1656. 2000-90x+x^2 = 1656; X^2-90X+344 =0; • X^2 -86X – 4X +344 = 0; x = 86 or 4 • We will take the value of X as 4; and verify it as: 46*36 = 1656 • Thus the width of Road is 2 meters (4/2) ans. www.afterschoool.tk
33 untrained labourers can do a work in 15 days of 12 hours each. How many trained workers will do 50% extra work in 11 days of 9 hours each. 2 trained workers are equal to 5 untrained workers.
• The old no. of 33 is equal to 33 *2/5 trained workers = 66/5 • New work is 3/2 of the previous work. • 66/5 *3/2 *12/9 *15/11 =36 • Thus 36 trained workers are required. Ans. www.afterschoool.tk
What is the remainder when 7^187 is divided by 800? • We know that 7^187 is equal to 7^184 * 7^3. • (184 /4 = 46) • 7^4 = 2401 which gives remainder of 1 (2400 is divisible by 800). • So remainder of 7^184 is 1. • 7^3 = 343 thus 343*1 gives final remainder equal to 343 ans.
www.afterschoool.tk
On a circular track of 1200 meters, Sumit and Hulash are running. Their speeds are 12 & 8 km / p.h. The are running in opposite direction. They started together. When will they meet 2nd time?
• Their combined speed is 20 km. per hour. Converting this speed into M/S we get 20 *5/18 = 5.5 • They will meet second time after covering 2400 meters, so • 2400 / 5.5 = 436 seconds or 7.3 minutes approx.
www.afterschoool.tk
There are 2 series as below: (1) 16,21,26.. (2)17,21,25… find sum of first 10 common items in these two series.
• • • • •
The series will be 21,41,61 … Sum of first 10 items will be: 10/2 (42 + (9)20) =5 *(42 +180) = 5*222 =1110. ans.
www.afterschoool.tk
Find the odd one out in given figures? α π σ Ω
www.afterschoool.tk
ANSWERS: • All these are greek symbols. The first three are used in mathematics and statistics, but the last one is not used in maths and statistics. Forth symbol is used in physics – so it is odd one out.
www.afterschoool.tk
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 • • • • • • • • • • •
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
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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