4 July Mathematics

REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk www.afterschoool.tk

A WATCH READS 4.30, IF MINUTE HAND POINTS EAST IN WHICH DIRECTION WILL THE HOUR HAND POINT? 

North East

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ABCDEF are standing in a circle. B is between D & C. A is between E & C. F is to the right of D. Who is between A & F?  sequence is like this:    

EACBDF Or FDBCAE. Thus between A & F, E is sitting. Answer : E.

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I start from my home and walk for 2 KM straight. Then I turn towards my right and go for 1 KM again. If I am north-west from my house, then in which direction did I go in the beginning? WEST

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Hulash wants to go to Bikaner University. He starts from his home, which is in the east and comes to a crossing. The road to his left ends in a theatre, straight ahead is PBM Hospital, in which direction is the  North University? www.afterschoool.tk

Anil walks 20 m. north, then he turns right and walks 30 m. Now he turns right and walks 35 m. Now turning left , he walks 15 m. Again he turns left and moves 15 m. finally turning left he again walks 15 m. In which direction and how far is he  Solve by making a map.  from hisEast. original position? 30 meters www.afterschoool.tk

.33 of a number is .002 of another. What is the ratio of  these numbers? Let us assume that the number is 66. Now let

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us get the first number by dividing 6 by .333. We get: 66/.33 = 200. let us now get the 2nd number by dividing 66 by .002. 66/.002 = 33000. thus ratio of the numbers is : 1:165 answer.

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A,B, C start a business with capital in ratio of 1/3 , 1/5 and ¼. A withdraws half of his capital after 6 months. But B doubles his capital after 6 months. Annual  Let us take LCM of 3,5,4 = 60. Now multiply 60 by profits are Rs. 10000. how these ratios: 20, 12, 15. do you divide the profits?  A will withdraw half after 6 months, so his capital is 10*6 +20*6 = 180. 12*6 + 24*6= 216. , 15*12 = 180. thus new ratio of their capital is : 180:216:180. their ratio is :10:12:10 or 5:6:5. thus their profits are : 5/16*10000 =3125,3750 and 3125 ans. www.afterschoool.tk

What is value of (14+7)^4? 21^4 =194481 answer. Or (20+1)^4 = A^4+4A^3B+6A^2b^2+4ab^3+b^4 =160000+32000+2400+80+1 =194481 answer.

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99^4?  

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(100-1)^4 We know that (a-b)^4 = a^4-4a^3b+6a^2b^24ab^3+b^4 100000000-4000000+60000-400+1 =96059601 answer.

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DATA SUFFICIENCY QUESTION:  2. 3.

Is A greater than B? A – B = 12 3A+B = 9

Answer: From the first statement it is clear that A is more than B. from the 2nd statement, we cannot find the answer. Thus answer is statement No. 1 alone. www.afterschoool.tk

DATA SUFFICIENCY QUESTION: What percent of all the marbles in the bag are black? 2. There are exactly 10 green marbles in bag 3. Red and black marbles in the bag are in the ratio 3:5. ANSWER: We cannot draw answer with both the statements. We don’t know how many marbles are there and how many are black marbles. Without all this information, we cant draw the answer. 

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DATA SUFFICIENCY QUESTION: What is the time taken by 2 pipes to empty or fill a bucket that is 2/3 full? 2. Pipe X can fill the tank in 10 minutes 3. Pipe Y can empty the tank in 6 minutes. Answer: with the help of both the statements, we can find when will the tank be emptied. Unfortunately the question is not about tank. The question is about bucket. Thus answer cannot be drawn from both the statements. 

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DATA SUFFICIENCY QUESTION? What is the time taken by 2 pipes to empty or fill a tank that is 2/3 full? 2. Pipe X can fill the tank in 10 minutes 3. Pipe Y can empty the tank in 6 minutes. Answer: with the help of both the statements, we can find when will the tank be emptied. 1/6 – 1/10 = 4/60 OR 1/15. We can empty filled tank in 15 minutes. But the tank is 2/3 filled, so time will also be 2/3 – thus 15*2/3 = 10 minutes. 

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DATA SUFFICIENCY QUESTION: Is X ^2 an integer? 2. 3x^2 is an integer 3. X is a negative number Answer: from the first statement it is clear that because 3x^2 is integer, therefore, x^2 is also an integer. From second statement, it is not clear whether X is integer or not- because a fraction can also be negative. 

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Which of the industries has the lowest increase in the number of licenses issued

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ANSWER: 

FMCG INDUSTRIES HAS LOWEST GROWTH (ANSWER).

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These prices show % increase in share prices from Aug. 16 to 6 sept. If I had bought Bombay Dyeing at Rs 400 on Aug 16th, what is its price on Sept 6?

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ANSWER:  

400 + 70% OF 400 = 400 + 280 = 680 APPROX.

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In the previous question, . What will be the share price of Godrej on Oct 6th be, if it falls by 15% from Sept 6 till  ANSWER CANNOT BE DRAWN – AS Oct 6? SHARE PRICE OF GODREJ COMPANY ARE NOT GIVEN IN THE QUESTION.

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The average weight of 5 people in a ship is increased by 1 kg , when one of the crew, who weight 50 kg is replaced by a new man. What is the weight of the new man? KG kg  (5*1 =60 5 kgkg  + 50 = 55 KG).    5555 75 kg  50 kg 

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.The tax on a commodity is diminished by 5% and its consumption increased by 15% . Find the Increase percent in the tax revenue derive from it. Let us assume that Tax was 10 and consumption also 10. Tax10%  Revenue = 100    was 8.75%  9.25%  8%  Now Tax is 9.5 and consumption is 11.5. the new tax revenue is 109.25 which is 9.25% higher. 

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if A:B is 2:3 and B:C is 4:5 what is A:B:C?     

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LET US PUT IT LIKE THIS: Abc 2:3 4: 5 Let us multiply the first ratios with 4 and second ratios with 3. we get the answer: 8:12:15 answer.

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The ratio between the speeds of 2 trains is 7:8 . If second train runs 400 KM in 5 hours, what is the speed of first train? nd Speed of 2 train is 400/5 = 80 KM per hour Thus speed of first train is : 80 *7/8 = 70 km per hour.

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PQR are 3 cities. The ratio of average temperature between P & Q is 11:12 and between P & R is 9:8. the ratio between average ofratios: Q & R is? temperature Let us take their common    

P: Q: R 11:12 9: 8 Let us mutiply first ratios by 9 and second ratios by 11, we get: 99:108,88. Ratio between Q & R is 108:88 27:22 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.

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Why such a programme? 

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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

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Who are our supporters? 

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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.

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About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs     

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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

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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

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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

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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)

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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

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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.

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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.

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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

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www.afterschoool.tk social entrepreneurship for better society

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