18 June Comprehensive Test
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Aptitude Test Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
300 mangoes were bought @ 1 per mango and were sold @ 15 per dozen. What is profit in %? Cost
is 1 per mango. Selling price is 15 per 12 so per piece it is 15/12 = 1.25 Thus there is 25% profit.
www.afterschoool.tk
A boat crew consists of 8 men, 3 of whom can only row one side and 2 only on the other. Find the number of ways in which the crew can be arranged?
8 – (3+2) = 3 There are 3 persons who can go either side. Thus while going one side we have (3+3)! And while returning, we have (3+2)! Ways of arranging the crew. Thus we have total 720 + 120 ways of arranging crew = 840. www.afterschoool.tk
A walks @ 4 km per hour and 4 hours after his departure B starts. B cycles @ 10 km per hour. How far from the start does B catch A? In 4 hours, A travels 4*4 = 16 KM Difference of speed of B & A = 104=6 Thus B will take 16/6 = 2.666 hours after the start. In 2.666 hours, B will reach 26.67 KM from start – thus A will be caught 26.6 Km. from the start. www.afterschoool.tk
In a cyclic quadrilateral ABCD, A is 60 degree, B is ? D is 90@, what is C? Opposite
angle are supplementary , i.e. their total is equal to 180 degrees. Thus C will be 120 and B will be 90 degrees.
www.afterschoool.tk
What is the probability of drawing a card which is either a diamond or a queen?
There
are 13 diamonds and 4 queens. Thus 13+4 -1 (one queen is of diamond) =16/52 answer.
www.afterschoool.tk
¼, 1/6, 1/8 and X are in proportion, what is X? In
proportion, multiple of middle terms is equal to 1st and 4th term. Thus ¼ * X = 1/6 *1/8 X = 1/6 *1/8 * 4 = 1/12 answer
www.afterschoool.tk
In a quadratic equation, whose sum of roots is 7 and sum of the squares of roots is 25 is ? Formulae
of quadratic equation is : X^2 - ( sum of roots)x + product of roots. X
+ Y = 7; X^2 +Y^2 = 25, thus X & Y are 3, 4 Equation is : X^2 – 7X + 12 = 0 ans. www.afterschoool.tk
Given the word INSTITUTE, the number of permutations that are possible by taking all the letters in the word are? Institute
has 9 letters. Out of these, t is repeated 3 times, I is repeated 2 times, thus no. of words are: 9! / (3! * 2!) =30240
www.afterschoool.tk
How long will it take Rs. 1250 to become 10000, if it is invested in 12.5% simple 10000-1250 interest? = 8750 Annual
interest is 1250*12.5/100 Annual interest is Rs. 156. 8750 / 156 = 56 years. answer
www.afterschoool.tk
If numerator of a fraction is increased by 5% and its denominator is decreased by 4%, the value of the fraction is 7/12. the original fraction is :
7
/1.05 12/.96 = (7*.96) / (12*1.05) =8/15 ans.
www.afterschoool.tk
Parallelogram has CE = EF, AB=CD, AD is parallel to BC, ADC is 60 degree, DC = 4EF, AND BC = 6 CM. WHAT IS Let us assume EFAREA? =3
Area of Triangle : 1.732/4 *6*6 =15.58 Area of parallelogram = distance between parallel sides * length of parallel sides. Median = 1.732/2 * side (we have taken side as 6) = 5.48 Thus area = 5.48*12=66 Add area of parallelogram + triangle 15.58+66 = 81.58 www.afterschoool.tk
(A^3-b^3) /( (a^2+b^2+ab)X) =1 The
answer is A-B
www.afterschoool.tk
Mukesh bought a bag with 20% discount on price, he got a profit of 50. by selling at price 140% of cost price. What was original print price? Let
us assume that original print price = 100 He purchased at 80. He sold at 140% = 80*1.4 = 112. profit is 32. if profit is 32, print price is 100, if profit is 50, print price is: 50/32 *100 = 156.25 approx.
www.afterschoool.tk
4A=5B=7C and we divided Rs. 581 among ABC, what will be their shares.
35:28:20 (a:b:c) 35/83 *581 = 245 (it is the share of A) Similarly calculate shares of B, C.
www.afterschoool.tk
Find the difference between LCM & HCF of 2/3, 4/5 & 3/5 LCM
= lcm of numerator/ hcf of denominator 12/1= 12 HCF = HCF of numerator / LCM of denominator 1/15 Difference 12 – 1/15 = 179/15 answer. 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 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
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
300 mangoes were bought @ 1 per mango and were sold @ 15 per dozen. What is profit in %? Cost
is 1 per mango. Selling price is 15 per 12 so per piece it is 15/12 = 1.25 Thus there is 25% profit.
www.afterschoool.tk
A boat crew consists of 8 men, 3 of whom can only row one side and 2 only on the other. Find the number of ways in which the crew can be arranged?
8 – (3+2) = 3 There are 3 persons who can go either side. Thus while going one side we have (3+3)! And while returning, we have (3+2)! Ways of arranging the crew. Thus we have total 720 + 120 ways of arranging crew = 840. www.afterschoool.tk
A walks @ 4 km per hour and 4 hours after his departure B starts. B cycles @ 10 km per hour. How far from the start does B catch A? In 4 hours, A travels 4*4 = 16 KM Difference of speed of B & A = 104=6 Thus B will take 16/6 = 2.666 hours after the start. In 2.666 hours, B will reach 26.67 KM from start – thus A will be caught 26.6 Km. from the start. www.afterschoool.tk
In a cyclic quadrilateral ABCD, A is 60 degree, B is ? D is 90@, what is C? Opposite
angle are supplementary , i.e. their total is equal to 180 degrees. Thus C will be 120 and B will be 90 degrees.
www.afterschoool.tk
What is the probability of drawing a card which is either a diamond or a queen?
There
are 13 diamonds and 4 queens. Thus 13+4 -1 (one queen is of diamond) =16/52 answer.
www.afterschoool.tk
¼, 1/6, 1/8 and X are in proportion, what is X? In
proportion, multiple of middle terms is equal to 1st and 4th term. Thus ¼ * X = 1/6 *1/8 X = 1/6 *1/8 * 4 = 1/12 answer
www.afterschoool.tk
In a quadratic equation, whose sum of roots is 7 and sum of the squares of roots is 25 is ? Formulae
of quadratic equation is : X^2 - ( sum of roots)x + product of roots. X
+ Y = 7; X^2 +Y^2 = 25, thus X & Y are 3, 4 Equation is : X^2 – 7X + 12 = 0 ans. www.afterschoool.tk
Given the word INSTITUTE, the number of permutations that are possible by taking all the letters in the word are? Institute
has 9 letters. Out of these, t is repeated 3 times, I is repeated 2 times, thus no. of words are: 9! / (3! * 2!) =30240
www.afterschoool.tk
How long will it take Rs. 1250 to become 10000, if it is invested in 12.5% simple 10000-1250 interest? = 8750 Annual
interest is 1250*12.5/100 Annual interest is Rs. 156. 8750 / 156 = 56 years. answer
www.afterschoool.tk
If numerator of a fraction is increased by 5% and its denominator is decreased by 4%, the value of the fraction is 7/12. the original fraction is :
7
/1.05 12/.96 = (7*.96) / (12*1.05) =8/15 ans.
www.afterschoool.tk
Parallelogram has CE = EF, AB=CD, AD is parallel to BC, ADC is 60 degree, DC = 4EF, AND BC = 6 CM. WHAT IS Let us assume EFAREA? =3
Area of Triangle : 1.732/4 *6*6 =15.58 Area of parallelogram = distance between parallel sides * length of parallel sides. Median = 1.732/2 * side (we have taken side as 6) = 5.48 Thus area = 5.48*12=66 Add area of parallelogram + triangle 15.58+66 = 81.58 www.afterschoool.tk
(A^3-b^3) /( (a^2+b^2+ab)X) =1 The
answer is A-B
www.afterschoool.tk
Mukesh bought a bag with 20% discount on price, he got a profit of 50. by selling at price 140% of cost price. What was original print price? Let
us assume that original print price = 100 He purchased at 80. He sold at 140% = 80*1.4 = 112. profit is 32. if profit is 32, print price is 100, if profit is 50, print price is: 50/32 *100 = 156.25 approx.
www.afterschoool.tk
4A=5B=7C and we divided Rs. 581 among ABC, what will be their shares.
35:28:20 (a:b:c) 35/83 *581 = 245 (it is the share of A) Similarly calculate shares of B, C.
www.afterschoool.tk
Find the difference between LCM & HCF of 2/3, 4/5 & 3/5 LCM
= lcm of numerator/ hcf of denominator 12/1= 12 HCF = HCF of numerator / LCM of denominator 1/15 Difference 12 – 1/15 = 179/15 answer. 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 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
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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