Quantitative Aptitude And Mathematics 14 October

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QUANTITATIVE APTITUDE AND MATHEMATICS

AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


QUANTITATIVE APTITUDE AND MATHEMATICS

Dr. T.K. Jain.

AFTERSCHO☺OLCentre for social entrepreneurship

Bikaner M: 9414430763

[email protected]

www.afterschool.tk, www.afterschoool.tk


A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm.

What is the total number of smaller cubes having none of their faces

painted?a. 16 b. 8 c. 12 d. 24


SOLUTION .

• There are (12/3) *(12/3) * (12/3) = 64 cubes made by cutting the big cube.

• However, now there are 8 cubes, which don’t have any colour on any sides ( they are in the centre of this cube).


Instead of a metre scale, a cloth merchant uses a 120 cm scale

while buying, but uses an 80 cm scale

while selling the same cloth. If he offers a discount of 20% on cash payment, what is his overall profit

percentage?


SOLUTION . .

• Let us take LCM of 80 and 120. it is 240. Now let us assume that cloth is 1 Rupee per CM. So the cost is 200 (for 240 CM – because while buying, he uses 120 CM for 100 CM). Now when he goes for selling this, he will sell 240/80 *100 = 300 CM , so he will get Rs. 300. However, he gives 20% discount. He will get Rs. 240. Thus his profit is 40 on 200 or 20% profit on cost.


From a circular sheet of paper with a radius 20 cm, four circles of

radius 5 cm each are cut out. What is

the ratio of the uncut to the cut portion?

a. 1 : 3 b. 4 : 1 c. 3 : 1 d. 4 : 3


Solution. . .

• Area of big cirle :

• (22/7)*20*20 =1257 or 400pi

• The total area of 4 small circles:

• 4* (22/7) *5*5 =314 or 100 pi

• Thus the ratio of uncut to cut area is :

• 943:314 or 300pi : 100 pi

• Or 3:1 answer.


A wooden box (open at the top) of thickness 0.5 cm, length 21 cm, width 11 cm and height 6 cm is

painted on the inside. The expenses of painting are Rs. 70. What is the rate of painting per

squarecentimetres?

a. Re 0.7 b. Re 0.5 c. Re 0.13 d. Re 0.2


Solution . . .

• Total bottom surface area : (adjust for thickness) e.g. length =21 – (.5+.5) =20

• 20*10 = 200

• Total of 4 sides :

• Longer sides: 20 * 5.5 = 110*2 =220

• Width wise side: 10*5.5 = 55*2 =110

• Add all these: 530 rate = 70/530 = .13 answer.


The cost of diamond varies directly as the square of its weight. Once,

this diamond broke into fourpieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold,

the merchant got Rs. 70,000less. Find the original price of the

diamond.

•


Solution …..

• The weights are in the ratio : 1:2:3:4

• Let us assume that the total weight initially was 10X and now it is 1x, 2x, 3x and 4x

• Square it :

• 100X^2 = x^2+4x^2+9x^2+16x^2+70000

• 100X^2 – 30X^2 = 70000

• X ^2 = 1000 thus total original price is 100*1000 = 100000 answer.


ABOUT AFTERSCHO☺OL

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.


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


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.


About AFTERSCHO☺OL 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


Workshops from AFTERSCHO☺OL

• 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


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


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• 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


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)


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


Branches

• AFTERSCHO☺OL 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.


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.


Basic values at AFTERSCHO☺OL

• 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


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Quantitative Aptitude And Mathematics 14 October

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