19 June Aptitude Test
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APTITUDE TEST Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
A square is drawn by joining mid points of the sides of a square. A third square is drawn inside the second square in the same way and this process continues indefinitely. If a side of the first square is 8 CM, what is the sum of area of all squares? 8*8
= 64 The subsequent squares are Reducing. This form is GP 64,32,16 … Formulae : A / (1-r) 64 / (1-.5) =64*2 = 128 ans. www.afterschoool.tk
How many 3 digit even numbers can you form such that if one of the digit is 5, the following digit is 7? 57X
will have following possibilites: 1*1*5 = 5 Other even numbers: 8*10*5 = 400 (if repeatition is allowed = 405) 5*7*6 =210 Total number of possibilities = 215 (repeatition not allowed). www.afterschoool.tk
The minute hand of a clock is 10 cm long. Find area on the face of clock described by the minute hand between 9 am & 9.35 am.? 210/360
*3.142857*10*10 =183 square CM.
www.afterschoool.tk
2^73-2^72-2^71 is same as .. 2^69 2. 2^71 3. 2^70 4. 2^72 1.
www.afterschoool.tk
Answer: 2
^71
www.afterschoool.tk
A man is 20 minutes late for his office, when he travels with a speed of 20; and 25 minutes early, when he travels at speed of 80. what is the distance?
Let
us assume distance = X
X/20
– X/80 = 45/60 4X – X = 60 X = 20 ans.
www.afterschoool.tk
A young girl counted on fingures as : Thumb -1; Index finger - 2 , middle finger – 3 .. And then reverse .. Thumb -9 and & again reverse … so on. She counted upto 1994. she ended on which finger? One
cycle consists of 8 digits. Let us divide 1994/8 =remainder is 2 2 is on index finger – so this is the answer.
www.afterschoool.tk
A one rupee coin is placed on a table. The maximum number of 1 rupee coins which can be placed around it with each one of them touching it and two others is ? Here
we have to solve this question with the understanding of geometry. 6 equilateral triangle will form one hexagon. This circle can take 6 circles around itself.
www.afterschoool.tk
What is the measure of 5 outer angles in the following figure (all are equal) ? This
figure is a combination of – 5 triangles, with one pentagon Inside All angles of pentagon are 108*5 Total of all angles of 4 triangles = 5*180 = 900 Outer angles are : 900 -540=360 degree ans. www.afterschoool.tk
X can buy either 50 oranges or 40 mangoes. He retains 10% of his money for taxi fare. If he buys 20 mangoes, how many oranges had he bought? Let
us take LCM of 50 & 40 = 200 (let us assume price of an orange Rs. 4 & price of a mangoe Rs. 5) Let us assume that he had 200 Rupees. He retained Rs. 20 and purchased 20 mangoes = 20*5 = 100 Now he has Rs. 80 left out. He must have purchased 80/4 = 20 oranges. Answer. www.afterschoool.tk
5/9 of the population is a village are male. If 30% of the males are married, what is the percentage of unmarried females in the village in the total population? Let
us assume population of the village to be 900. 500 are male. 400 are females. 150 males are married. Thus 150 females are married. Unmarried females are 400-150=250. The % of females unmarried is : 250/900*100 =27.78% approx. www.afterschoool.tk
An arc makes an angle of 72 degrees at the centre of a circle of radius 10 cm. what is its length?
Perimeter
of the circle is : 2*3.142857*10 =62.85 Arc is 72 degrees, so length of arc is 72/360 *62.85 = 12.6 approx.
www.afterschoool.tk
The smallest number when subtracted from 43079 makes it divisible by 9?
Total
fo 43079 is = 23 which is not divisible by 9. Let us make it 18. for this we have to subtract 5 from this number and we will get 43074 which will be divisible by 9. Answer = 5
www.afterschoool.tk
Mention 2 prime factors from which a number WWXXWWXXWWXX (W & X represent any digit) is divisible? 3 & 11 Here we have 6 W and 6 X thus, it will be divisible by 3 and when we add alternate digits, we get 3W+ 3X in one total and 3W+ 3X in another total – their difference is zero, so this number is divisible by 11. Remember the rule: any number, whose sum of digits is divisible by 3, is also divisible by 3. Any number, whose sums of alternate digits have difference of 0 or 11 or in multiple of 11 is divisible by 11. www.afterschoool.tk
How many 6 digit numbers are there which are perfect squares?
Minimum
7 digit number is 1000000, which is square of 1000; thus all 6 digit squares will be squres of numbers less than 1000. Minimum 6 digit number is 100000, which gives us square root of 316.2. thus we have 999-316 = 683 perfect squares which are 6 digit numbers. www.afterschoool.tk
Minimum number of digits in the smallest number,when multiplied by 7 gives all 9s is? Start
dividing 9 by 7 and keep taking additional 9s .You get 6 as answer.
www.afterschoool.tk
What is the chance that a year selected has 53 Mondays. What will be the chance in case of leap year? In
a normal year, we have 365 days. Divide 365 by 7, we get 52 + 1 extra day. That extra day can be either day. Thus probability is 1/7 In case of leap year, we have 2 extra day – thus probability is 2/7 . Thus in a leap year there is 2/7 probability that the year has 53 Monday (or any other day for that matter). 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 diary
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
A square is drawn by joining mid points of the sides of a square. A third square is drawn inside the second square in the same way and this process continues indefinitely. If a side of the first square is 8 CM, what is the sum of area of all squares? 8*8
= 64 The subsequent squares are Reducing. This form is GP 64,32,16 … Formulae : A / (1-r) 64 / (1-.5) =64*2 = 128 ans. www.afterschoool.tk
How many 3 digit even numbers can you form such that if one of the digit is 5, the following digit is 7? 57X
will have following possibilites: 1*1*5 = 5 Other even numbers: 8*10*5 = 400 (if repeatition is allowed = 405) 5*7*6 =210 Total number of possibilities = 215 (repeatition not allowed). www.afterschoool.tk
The minute hand of a clock is 10 cm long. Find area on the face of clock described by the minute hand between 9 am & 9.35 am.? 210/360
*3.142857*10*10 =183 square CM.
www.afterschoool.tk
2^73-2^72-2^71 is same as .. 2^69 2. 2^71 3. 2^70 4. 2^72 1.
www.afterschoool.tk
Answer: 2
^71
www.afterschoool.tk
A man is 20 minutes late for his office, when he travels with a speed of 20; and 25 minutes early, when he travels at speed of 80. what is the distance?
Let
us assume distance = X
X/20
– X/80 = 45/60 4X – X = 60 X = 20 ans.
www.afterschoool.tk
A young girl counted on fingures as : Thumb -1; Index finger - 2 , middle finger – 3 .. And then reverse .. Thumb -9 and & again reverse … so on. She counted upto 1994. she ended on which finger? One
cycle consists of 8 digits. Let us divide 1994/8 =remainder is 2 2 is on index finger – so this is the answer.
www.afterschoool.tk
A one rupee coin is placed on a table. The maximum number of 1 rupee coins which can be placed around it with each one of them touching it and two others is ? Here
we have to solve this question with the understanding of geometry. 6 equilateral triangle will form one hexagon. This circle can take 6 circles around itself.
www.afterschoool.tk
What is the measure of 5 outer angles in the following figure (all are equal) ? This
figure is a combination of – 5 triangles, with one pentagon Inside All angles of pentagon are 108*5 Total of all angles of 4 triangles = 5*180 = 900 Outer angles are : 900 -540=360 degree ans. www.afterschoool.tk
X can buy either 50 oranges or 40 mangoes. He retains 10% of his money for taxi fare. If he buys 20 mangoes, how many oranges had he bought? Let
us take LCM of 50 & 40 = 200 (let us assume price of an orange Rs. 4 & price of a mangoe Rs. 5) Let us assume that he had 200 Rupees. He retained Rs. 20 and purchased 20 mangoes = 20*5 = 100 Now he has Rs. 80 left out. He must have purchased 80/4 = 20 oranges. Answer. www.afterschoool.tk
5/9 of the population is a village are male. If 30% of the males are married, what is the percentage of unmarried females in the village in the total population? Let
us assume population of the village to be 900. 500 are male. 400 are females. 150 males are married. Thus 150 females are married. Unmarried females are 400-150=250. The % of females unmarried is : 250/900*100 =27.78% approx. www.afterschoool.tk
An arc makes an angle of 72 degrees at the centre of a circle of radius 10 cm. what is its length?
Perimeter
of the circle is : 2*3.142857*10 =62.85 Arc is 72 degrees, so length of arc is 72/360 *62.85 = 12.6 approx.
www.afterschoool.tk
The smallest number when subtracted from 43079 makes it divisible by 9?
Total
fo 43079 is = 23 which is not divisible by 9. Let us make it 18. for this we have to subtract 5 from this number and we will get 43074 which will be divisible by 9. Answer = 5
www.afterschoool.tk
Mention 2 prime factors from which a number WWXXWWXXWWXX (W & X represent any digit) is divisible? 3 & 11 Here we have 6 W and 6 X thus, it will be divisible by 3 and when we add alternate digits, we get 3W+ 3X in one total and 3W+ 3X in another total – their difference is zero, so this number is divisible by 11. Remember the rule: any number, whose sum of digits is divisible by 3, is also divisible by 3. Any number, whose sums of alternate digits have difference of 0 or 11 or in multiple of 11 is divisible by 11. www.afterschoool.tk
How many 6 digit numbers are there which are perfect squares?
Minimum
7 digit number is 1000000, which is square of 1000; thus all 6 digit squares will be squres of numbers less than 1000. Minimum 6 digit number is 100000, which gives us square root of 316.2. thus we have 999-316 = 683 perfect squares which are 6 digit numbers. www.afterschoool.tk
Minimum number of digits in the smallest number,when multiplied by 7 gives all 9s is? Start
dividing 9 by 7 and keep taking additional 9s .You get 6 as answer.
www.afterschoool.tk
What is the chance that a year selected has 53 Mondays. What will be the chance in case of leap year? In
a normal year, we have 365 days. Divide 365 by 7, we get 52 + 1 extra day. That extra day can be either day. Thus probability is 1/7 In case of leap year, we have 2 extra day – thus probability is 2/7 . Thus in a leap year there is 2/7 probability that the year has 53 Monday (or any other day for that matter). 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 diary
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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