Data Interpretation

DATA INTERPRETATION FOR CAT,MAT,GMAT, & OTHER COMPETITIVE EXAMINATIONS 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

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DATA INTERPRETATION

Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk 06/29/09

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What was the ratio of males to females in the rural area of Ganga Nagar in the year 2001? (chart on next slide)

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Answer • 72% of males + 47.27 of females = 60.39% of (males + females) • OR • 85.34% of males +68.54% of females = 77.80% of (males + females) • Solve these and get the answer: • .72 m + .4727f = .6039 m + .6039 f • 1.1376m = 1.27754 f • M / F = 1.27754/1.1376 • Or : 1277: 1136 answer 06/29/09

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Percentage urban population of males in Bikaner is what per cent of the percentage female population of rural area there in the year 2001? (chart on next slide) 06/29/09

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Solution… • • • • • • •

% of male population in rural areas : (average – female%) / (male % - Female %) = (46.38 – 28.83) / (61.92 – 28.83) =53% Thus female are 47% in rural areas. Similarly for urban areas : = (76.17 – 65.62)/(85.38 – 65.62) = 53.4% Thus 53.4% / 53% gives answer : 1.0072 answer

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In a certain code, ELEPHANT is written as WLDFSCOC. How will AGGARWAL be written in the same code? •

First of reverse the word ELEPHANT : it is : TNAHPELE. Add 3 in first digit and deduct 2 from next digit and so on. We get : LAWRAGGA from AGGARWAL. Now solve it : • OYZPDEJY. Answer 06/29/09

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What is the trend in the number of retirees (who have opted for VRS) in the age group 50 - 55 from 1994 to 1996?

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solution • In 1994, 55+ are 2000 which is 60% and in 1996, 55+ are 1000, which is 40%. Thus total number of retirees in 1994 and 1996 are : 2000*100/60 = 3333 and 1000*100/40 = 2500 • The number of retirees in 50 to 55 are 20% of total number in each of these years : thus it is 666 in 1994 and 500 in 1996. thus there is a trend of decrease in these two years. Answer

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What was the percentage change in the break-up figure from 1990 to 1998 of the retirees under VRS in the 55 + age group? • Solve it based on the graph of the previous question. 06/29/09

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Solution. • It was 80% (or .8) in 1990 and it reached 30% in 1998. thus it decreased by .5 from .8. • The change in % is .5/.8 *100 = 62.5% answer

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Which group showed the largest percent change in per cent breakup from 1990 to 1998? • (solve from the graph of the previous question). • The group in 55+ age group showed the largest % change from 1990 to 1998. answer (solve by observation). 06/29/09

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How many more employees in the 46 - 50 age group had opted for VRS in 1996 as compared to 1990?

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SOLUTION. • IN 1990, 55+ ARE 2400, WHICH IS 80% OF TOTAL, THUS 5% WILL BE 2400*5/80 • =150 • IN 1996, 55+ ARE 1000, WHICH IS 40%, SO 15% (46 TO 50 ARE 15%) WILL BE : 1000*15/40 = 375 • THUS THERE IS INCREASE OF (375 – 150) = 225 ANSWER 06/29/09

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In which match did we have maximum difference in the scores of the two teams?

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Solution… • In the 9th match, the first innings score was 200 and the second innings score was 140, thus the difference was 60 runs, which is the highest difference out of the given data. Answer

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What is the number of engineering students appearing in CAT in 2008. Compare this with the data of 2004?

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Answer … • In 2008, the number of engineering students was 70,000 in 2004, it was also 70000. thus there is no change in the data of the two year, but the students from other discipline have increased and so the % of students from engineering faculty has decreased out of the total number of students 06/29/09

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If the revenue of the company increases by 100% from 1998 to 2003 and revenue from biscuits is 100 crores more than any other product in 2003, then what is the revenue earned by company by selling shampoo products in 1998?

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solution • Sale in 2003 of biscuits is 20% more than other items. Thus difference of 20% is equal to 100 crores. Thus total of 2003 is 500 Crores. • The sale in 1998 = 500 * 100/200 = 250. be 9 • Thus sale of shampoo in 1998 should be 10% of 250 = 25 answer 06/29/09

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During which year were the sales as a proportion of equity the highest?

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Solution… • In 1991, the sales was 90 crores, but equity was only 10 crores, thus sales was 10 times equity. Thus this is the highest out of all the 4 years that we have for review here.

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What is the total distance travelled by the train over this 3-hour period?

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Solution… • • • • • • • •

Distance travelled = = UT + ½ FT ^2 U = starting speed = 35 T = time F = total acceleration / total time. = (71 – 35) / (3 hours)= 12 = 35*3 + ½ (12 * 3*3) = 159 ANSWER

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What is the growth rate of sales at primary level as per the table below (75 – 80 )

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Solution… • It has increased from 42 to 68000 and there is growth of approx. 26000/42000 which is 60% approx. • Thus per annum growth rate is 12% approx. answer

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by what percent was the total investment in the two districts more in 96 as compared to 95?

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Solution • The total investment (combined in the two districts) was approx. 10000 in 1995, which increased by 1800 approx. • Thus growth rate is 18% answer

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The total number of silver-coloured cars sold in Metro H is approximately what percentage of that in Metro M?

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Solution … • Total sale of silver cars in metro H is 172 and in metro M it is 192, • 172/192 * 100 = 90% approx. answer

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By what percentage production of other states is more than that of the of Mãharashtra?

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Solution • It is 25000 in other states and 20000 in Maharastra. • Thus it is more by 5000. • Thus it is 25% of maharastra answer

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Approximately what perceptage of the total producation is shared by the other states

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solution • • • •

Total production is 143000 approx. Production in other states is 25000 25000/143000 * 100 = 17.5% approx.

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If 85% of E type cars produced during 1996 and 1997 are being sold by the company, then how many E type cars are left by the company

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solution • In 1996 90000 cars of E type were produced and in 1997 we had production of 50000 cars of type E. • Thus 15% of this 21000 is left out with the company.

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The total production by five companies in 1997 is what per cent of the total production by companies B &.D in 1996?

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solution • • • •

Total for 1997 for 5 companies = 185 For 1996 : for B + D = 95 Thus 185/95 * 100 = 200% approx.

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Which year had the highest per cent increase in production over the previous year?

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Solution… • In % the highest growth is in 1999, which is 75% appro.

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Cars of which colour are 20% less popular than white coloured cars?

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Solution… • White car is 26% in demand 20 less (it is absolute – not comparative), = 6%, thus golden car is the car which is having 6% popularity. Answer

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If in 1997 the population of village D is increased by 10% and the population of village G is reduced by 5% from 1995. population of village G in 1995 was 9000, what is the total population BPL of villages D and G in 1997?

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solution • • • • •

Population of D + 10200 + 1020 = 11220 Take 58% of it : 6500 Population of G = 9000 – 450 = 8550 Take 51% of this : 4300 Add these : 10800 answer

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In which years was the amount of profit the maximum?

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Solution … • Try for 1998 and 1997, it is 27.5% 0f 150 in 1998 and 20% of 190 in 1997, thus it is highest in 1998. answer.

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How many months experienced more than 10 per cent increase in crude oil price over the earlier month?

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Solution… • We find 4 months with more than 10% increase • Answer

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lb. numbers of torture eases exceeded the number of molestation cases by:

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Solution… • The number of cases of molestation is approximately : 24000 approx. • The number of cases of torture is : 25000 approx. Thus this number is 1000 more than the cases of molestation. • Thus this is : 1000/24000 * 100 • = 4% approx. answer 06/29/09

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Numbers of ITPA (Immoral Traffic Prevention Act) cases registered in A.P. exceeded the cases registered in Rajasthan by:

• See the graph and solve it :

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Graph :

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Solution … • The number of cases in Rajasthan is approx. 8000 but in AP it is approx. 10000. • Thus the number of cases in AP is 2000 more than those in Rajasthan. • 2000/8000 *100 = 25% answer

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Consumption of cola in 1984: 75 million, in 1998 : 115 million.

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If Coke’s sales for 1998 had been 30 million bottles, then, with the distribution shown in the chart remaining the same, the total sales in 1998 would be greater or lower than the actual value by what percentage?

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Solution …. • Coke were sold 14% of total sales. Total sale was 115 million, so the sale of coke was : 14% of 115 = 15.6 million approx. • Sale as per chart : 15.6 million but actual sale (as per question): 30 million. • Thus sales as per chart is less by 14.4 million in comparison to the actual sales. • Thus it is : 14.4/30 *100 = 48% approx. 06/29/09

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lf Coke’s share were to increase by 10% in 1999 with total sales remainiaig the same, what would be the percentage reduction in the total share of other. • Sale of coke in 1998 was 16.1, it increased by 10% so sale in 1999 should be : 17.71 thus it would increase by 1.61 million. The sale of others would reduce by 1.61, which is 1.61/88.9 * 100 = 1.62% ans 06/29/09

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If kinetic shows same growth for next 2 years, then what would be the sale in 2000?

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Solution • • • • • •

Sale of kinetic in 1997 was : 104000, Sale of Kinetic in 1998 : 113580 Growth rate is : 9580/104000 * 100 = 9.2% the same growth will continue in next 2 years also 113580 * 1.092 *1.092 • = 135440 answer 06/29/09

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assuming the scooter market grows by 5% for next 2 years and market share of LML and others remain the same, then the market share of Bajaj shall be • 61%

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assuming the scooter market grows by 5% for next 2 years and market sale of LML and others remain the same as in 1998, then the market share of Bajaj shall be • Total sale in 1998 was : 1262699 and it will increase by 5% so it will increase to : 1262699 +631349 = 1894048. 06/29/09

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Solution … • The increase in sale is solely due to sale in Bajaj, so the market share of Bajaj should be : • (61% of 1262699 + 631349)/ 1894048*100 • 74% answer

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Which company has the maximum ratio of ad spend to cigarette sales?

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Solution • • • • • • •

For godfrey philips : Ad spent : 50 against sales of : 1300 Thus it is : 3.84% For ITC it is 173/ 6700 = 2.58% VST : 15/1400 = 1.05% approx. STC = 19/600 = 3.166% Thus highest is in Godfrey Philips. Answer

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In which year was the ratio of denudation the highest?

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Solution • • • •

1996 : 1.2/3.2 * 100 = 33% 1993 : 2/8 *100 = 25% 1995 : 2/5.2 *100 = 38% So highest ratio is in 1995 answer

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Which year witnessed the least increase in reserve against the previous year?

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Solution • Solve by observation. It is the least in 1991 when it is close to 10% the least. • The highest growth is in 1990, when it grows by 66% over the previous year. Answer

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Capacity utilisation was highest for which vehicle and when?

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Solution • By observation : motor cycles in 1999 have capacity utilisation about 98%, which is the highest for all. Answer.

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What is the rate of growth of share of Asia in total business of Kingfisher as per data given below

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solution • • • • •

Earlier Asian region accounted for : 5.4 + 11.1 = 16.5% Now Asian region accounts for : 7.6 + 17.9 = 25.5% It has grown from 16.5% to 25.5% that means it has increased by 9%.

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If 6(A’s capital) = 8 (B’s Capital) = 10 (C’s Capial), what is the ratio of their capital ? • • • • • •

Take LCM of 6, 8 and 10. The LCM is : 120 Now 6A = 120, so A = 20 8B = 120, so B = 15 10C = 120, so C = 12 Ratio is : 20: 15:12 answer.

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If A :B = 3:4, B:C =5:6, C :D = 11:9, what is the ratio of A:D? • • • •

A/B * B/C * C/D = A/D, SO WRITE : ¾ * 5/6 * 11/9 WE GET : 55/ 72 OR 55: 72 ANSWER

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Which of the following stocks had most variations between opening and closing stocks?

Stocks

Open High

Low

Close

7UP  49.16 49.8 49.16 49.16 ABATEX  0.91 0.91 0.91 0.91 ABCTRANS  3.3 3.39 3.14 3.35 ACADEMY  9.46 9.93 9.93 9.46 ACCESS  ACENINS  06/29/09

15.98 16.4 15.36 15.52 0.95 0.95 0.95 0.95 AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

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Solution • Access has the most variation between the opening and closing stocks : variations of .46 answer.

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The result of an exam is given below. Out of 1000 students who appeared (i) 658 failed in Physics (ii) 166 failed in Physics and Chemistry (iii) 372 failed in Chemistry, 434 failed in Physics and Maths (iv) 590 failed in Maths, 126 failed in Maths and Chem Assume all students failed in at least one subject. How many failed in Physics but not in Mathematics?

• Physics : 658, Physics+maths = 434 • Physics but not maths : 658-434= 224 ans. 06/29/09 AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

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If proteins and sugar are consumed in the ratio 1:4, how many grams of proteins will be required for a 200m jog?

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Solution… • If we take 100 gram protein, we will take 400 gram suger. The calorie intake is : 125 +400 = 525 • 650/525 * 100 = 123.8 • Thus 123.8 gram of protein must be consumed for 600 m jug.

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In the previous question, which food has the least number of calorie per kg? • A,B,C and D are the four foods. D has maximum share of suger, but B has least share of Fat which gives least calorie per gram. On calculation, we find that B gives the least calorie per kg.

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Based on previous table, how many more kg of food C is required for a 100 m. run than for 100 m. walk? • 4.3 times

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Food A and C are mixed in ratio of 1:2, what % of calorie come from protein ? • 26.67% • (take 100 g A and 200 g C, total protein you get is 40 + 40 = 80. thus you are able to get 80 g protein out of 300 gram of total intake. This is 26.67% answer) 06/29/09

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In which year was actual Net revenue as a percentage of estimated plan size highest?

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Solution • Solve it and find that it is highest in 199495 which is 58% approx. • 3808/6515*100 =58% approx.

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A survey of moviegoers from five cities A,to E : first column gives the percentage of viewers in each city who watch less than 1 movie a week. The second column gives the total number of viewers who watch one or more movies per week. How many viewers in city C watch less than one movie a week?

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92

Solution • 85/100 * 2400 = 2040

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How many students with 2-3 years of work experience did not prefer marketing?

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solution • Total students in 2-3 year experience : 1080 • Total students who opted for marketing : • (270 + 150 ) = 420 • Thus there were 660 (1080 – 420) answer.

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The export of diamonds in 1996-97 was _______times the export of all other gems. and jewellery put together including sales to foreign, tourist.

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Solution … • 14917/3300 = 4.5 times approx.

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What is the change (in percentage) in the share of public issues in between August ‘97 and December ‘97?

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98

Solution • In august it was 24% approx. • (207 / 852 * 100) • In December it was 545/5042 * 100 = 10.8% • Thus there is decline of 13.2 points.

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99

With reference to the table below, what is the cost incurred in the new ‘coding’ stage?

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100

Solution… • 18 * 10 * 1000 = 180000 answer

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102

Excluding Latin America, what was the sale of electronics items in 2003 (figures in bracket show annual growth rate)?

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solution • 114200 US$ million answer. • (add 13000 * 100/ 90 + 42000 * 100/95 + 49000 * 100/98 + 9000 * 100/92) answer

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104

What part of the total electricity produced in 2002 was contributed by Nuclear power plants?

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Solution: • 13.32% • =312 / (980+1050+312) * 100 answer

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106

For which crop, we had maximum area, maximum production and maximum change in 94-2004?

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107

Solution.. • Maximum area : maize (UL), maximum production : cant be determined, and maximum change in area in maize (UL). We cant know about production from this graph.

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108

In which year is the profit per rupee of equity the highest?

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109

Solution… • Divide profit by equity: • It is highest in 1991 : 6/10 = .6, which is the highest. Answer.

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What was average yearly population of Argentina (in millions) from 1995 through 1997? Population of South America in 1995 = 150 millions • Population in 1995 : 37.5 million. Add 16.7% growth, it becomes : 43.7 and add 14% growth, it becomes 49.88. the average of these three numbers is 43.7. answer. 06/29/09

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114

Use relevant data from last question and tell : What is the female population of Peru (in millions) in the year 2000? • Peru’s population in 1995 is 12 million (8% of 150). We add growth it it. The population of 2000 is 22.36 ml. Now sex ratio is 46%, so female population should be 10.28 million. Answer. 06/29/09

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115

The diagram in the left show marketing in green and systems in blue. Marketing is further classified in right pie chart. Green and maroon colour on right are what % of the systems?

1 2 3 4 5

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1 2 3 4 5

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if in the previous graph, the actual values are reduced by half, then the maroon and blue combined is by what % more than red in the left pie chart? • 28% approximate.

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• The result of an exam is given below. Out of 1000 students who appeared • (i) 658 failed in Physics • (ii) 166 failed in Physics and Chemistry • (iii) 372 failed in Chemistry, 434 failed in Physics and Maths • (iv) 590 failed in Maths, 126 failed in Maths and Chem • Assume all students failed in at least one subject. • Th number of students who failed in all the three subjects is (1) 178 (2) 73 (3) 106 (4) 126

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Solution…. • =1000- ((658 - (166+434)) +(372 (166+126)) +(590 (434+126))+(166+434+126)) = 106 answer.

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119

solution

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120

Which of these had least cost per room?

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121

Solution.. • Divide the cost by the number of rooms • We get Royal Holidays with minimum cost of .41.

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122

FEI: black: 1997, white : 1998. Which country had maximum changein FEI?

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123

soluton • Just by observation, we find the answer : China

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124

Graph shows market shares, what is the growth rate of company A?

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125

Solution • Data inadequate – as we don’t know about volume or price.

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126

Graph shows market shares, what is the growth rate of company A, if total volume has increased by 100% and value by 50%?

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solution • Inadequate information – as we don’t know whether the growth rate is in terms of volume or price?

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128

Graph shows market shares, what is the annual growth rate of company A (in terms of volume), if total volume has increased by 100% and value by 50%?

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Solution… • Suppose total volume was 100 in 1991, then the company A had 25. in 2001 total volume should be 200, company A should have 50. Thus there is growth of 25 on 25 = 100% growth. Divided by 10 years, we get annual growth rate of 10%. Answer.

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130

• A, B, C and D are 4 villages on a straight road in that order, given that B is equidistant from A and C while C is equidistant from B and D. Two girls Reena and Sheena decide to walk from A to D, covers the distance walking at 3 km/hr and • Sheena covers the first lap (upto B) at either 1 or 4 km/ hr and then walked at the other speed till she meets Reena. Thereafter they walk together to D at Reena ‘s speed. Where did Sheena meet Reena? 06/29/09

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Solution… • Suppose the total distance is 120 km. We have three gaps of 40 km each. • The average speed of seena from A to C is : ¼ + 1/1 = 5/4 multiply it by ½, we get 5/8 reverse it : 8/5 = 1.6 km per hour. Thus Seena should first travel by 1 km per hour and then by 4 km per hour. Till Seena reach C, (80/1.6) = 50 hours – Reena should cover 50 * 3 = 150 km. Thus as per the logic they will never be able to meet (If she starts with the speed of 1 km per hour) Thus there is inadequate information. If she starts with the speed of 4 km per hour, there is a possibility that she can meet from B to C. … 06/29/09

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Continued… • If Seena starts at 4 km per hour, then she is ahead of Reena. Seena will take 10 hours to cover the distance from A to B. now she will move at 1 km per hour. And now Reena will meet her. By the time Reena reaches B, Seena is at : 3.33 km from B. Now Reena will meet her at 3.33 / (3-1) = 1.66 hours. Thus they will meet between B and C. Now they will move @ 3 km per hour. Thus from B to D, they will take 80/3 = 26.6 hours to complete the journey as per our asumptions. We need exact distance to calculate the point where they met. 06/29/09

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133

Data sufficiency question: • • • •

In terms of m, y is what percent of x? (A) m > 0 (B) x is m percent of y (1) (A) or (B) alone, but not by other statement • (2) Either statement • (3) Both statements together • (4) Cannot be answered 06/29/09

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134

Rolling 6 dice, it is found that : 1. 3 dice show same numbers and rest show different numbers 2. only one dice show 6 3. only 1 dice show 1, what is maximum and minimum no. greater than 3? • Minimum = 1, maximum = 5. 06/29/09

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135

A watch reads 4.30. if minute hand points east, in which direction will the hour hand point? • North east

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136

.333 of a number is .001 of another number, what is the ratio of the two numbers? • Let us assume the 1st number to be 3, it .33 is 1. now the second number is 1000 • Thus ratio is 3: 1000 or 1:333 answer. • Or • Let us assume the 1st number to be x. the first solution is .33X the second number is : .33x / .001, solving it we get : 333 x •06/29/09 centreanswer. for social entrepreneurship 137 Thus the ratioAFTERSCHOOOL is 1: 333 www.afterschoool.tk

1.5 of a number is 6 times another number, what is the ratio of the two numbers? • Let us assume the first number to be 100. • 1.5 of this number is 150. • This is 6 times another number, so divide it by 6, we get : 25 • The ratio is 100 : 25 • Or 4:1 answer. 06/29/09

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138

Shabnam wants to go to IIM, she starts from her home, which is East facing. She comes to a crossing. The road ahead takes to a hospital, the road to left takes to Gujarat University, in which direction is IIM from her home? • South – East

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A taxi goes 20 Km north, turns right and goes 30 km then turns right again and goes 35 km. Now turning left goes 15 km. Finally turns left and again goes 15 km. in which direction and how far is the taxi from the original starting position? • 45 km east from the starting point. 06/29/09

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140

a to f are 6 members in a family. There are 2 couples. D is brother of F and both are lighter than B, who is mother of D and lighter than E. C is a lady and is neither the heaviest or the lightest in the family. E is lighter than C. the grandfather is the heaviest. E is a man. Show the family diagram and as per weight also. 06/29/09

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Solution… • The grandfather is A, and couples are AC (A is man, C women), EB (E is man and B is woman) and we have two kids : F and D. • The relation as per weight is clear. The heaviest is A, followed by C, E B and then we have D and F. we don’t know who is lighter among D and F. 06/29/09

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142

A to F are members of a family. There are 1doctor, 1advocate, 1engineer, 1housewife, 2 students in the family. There are 2 couples. F is the father of E and is doctor. A is girl student and her husband is not an advocate. B is the grandmother of D and is housewife. Her husband is an engineer. D is sister of E. What is the profession of A’s husband?

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Solution… • A’s husband is a doctor by profession.

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144

P starts crossing the field diagonally after walking half way he turns right. Walks same distance turns left. Which direction is he facing now? R NORTH

q 06/29/09

p SOUTH

S

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145

From the original position, P & Q move clock wise and cover half distance. R & S move anticlock wise and move one side distance. Both the groups then cross over diagonally opposite direction. If original configerationis PSQR, what is new configuration? R Q 06/29/09

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146

Solution… • RQSP

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147

From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise. Where is P now? p

r

SOUTH

NORTH 06/29/09

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SOLUTION • SOUTH WEST CORNER POSITION.

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149

From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise.Who is at north west corner now? R

p

NORTH

SOUTH Q

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150

SOLUTION • R

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151

Is X > 3? 1. x^2 – 8x +12 < =0 2. x^2 – 2x – 8 < = 0 • No answer is possible as we cannot draw the answer from either statement. • Formula :[ - b + - sqrt (b^2 - 4ac) ]/ 2a • = 8 + 4 / 2 and ( 8 – 4) / 2 • We get x = 6 and 2 • (2 + sqrt(4 +32) /2 = 4 and - 2 • we get x = -2 and 4 from second equation. 06/29/09 AFTERSCHOOOL centre for social entrepreneurship 152 www.afterschoool.tk

Is sqrt x > 1/x ? • • • •

1. x > 0 2x<0 Try from .04 and 4 we cant get the answer. Answer cannot be drawn from either statement.

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153

The sum of an infinite GP : p, 1,1/p, 1/p^2 …. Is a / 2, what is the value of p? • • • • • •

Sum of infinite GP = a / (1 – r) P / ( 1 – 1/p) = a / 2 2p = (ap – a) /p 2p^2 = ap – a P^2 = ap – a / 2 P = sqrt ((ap – a ) / 2 )

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• • • • • •

If : (3+5+7……nth term) / (5+8+11….10th term) = 7 , what is n?

Sum of AP = n/2 (2a + (n-1)d) A = first term D = difference = sum of the denominator series is 185 Numerator series / 185 = 7, so numerator series total = 1295 • =n/2 (6 + (n-1) 2) = `1295 06/29/09

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Continued… • • • • • • • •

n/2 (6 + (n-1) 2) = `1295 =n (6 + 2n – 2) = 2590 =6n + 2n^2 – 2n = 2590 2n^2 +4n – 2590 = 0 [ - b + - sqrt (b^2 - 4ac) ]/ 2a = (( -4 + sqrt(16 + 20720)) / 4 =( - 4 + 144) / 4 =35 answer

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157

A vending machine has 5 switches for coke,7up,maza,limca,pepsi. Each switch gives 2 different drinks. Each drink can be obtained from 2 switches. If two switches are pressed, if there is common drink, nothing will come out, otherwise you will get the drink desired. Press the right combination for getting the drink. . 06/29/09

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158

1+3 = 7up and maza, 1+2 = coke, pepsi, 1+4 = limca,coke, maza, pepsi switch 1,2,3,4,5 don’t give 7up, limca,coke, maza, pepsi respectivley. • What is 2+3? • Maza + Limca+ 7up c,m,p,7up • Coke maza pepsi, limca, 7up • Answer : pepsei, 06/29/09 AFTERSCHOOOL centre for limca, 7social upentrepreneurship www.afterschoool.tk

159

Solution … • Prepare a matrix of rows and columns with drinks in one side and switch in one side to know the right combination.

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160

Coke will definitely come from which combination? • • • • •

1,3 1,5, 2,4 2,5 Soluton: 1,5

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161

What should you turn on for limca + coke ? • • • • •

2,3 1,2,3,5 1,3,4 2,3,4 Answer : 1,2,3,5

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7up

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pepsi

coke

maza

limca

1 x

x

y

Y

x

2

y

x

x

x

3 Y

x

x

x

y

4 x

y

x

x

Y

5 x

x

y

y

x

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How many integers N are there such : r < n < s? 1. s-r = 5 2. r & s are not integers • Both the statements are required.

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166

What is the time difference between NY and London? 1. departure time at NY is 9 am and arrival time at London is 10 am (both local times) 2. flight time is 5 hours.

• Both the statements are required. 06/29/09

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X says to Y : “ I am 3 times as old as you were 2 years ago.” how old is x? 1. Y’s age 17 years from now is same as X’s present age 2. X’s age nine years from now is 3 times Y’s present age • Answer can be drawn only from the 1st statement. 06/29/09

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168

In a row of poles, one pole is 11th from either side. How many poles are there is in the row :

• 10 poles before and 10 after • Total we have 10 + 10 + 1 = 21 answer.

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169

A,B,C are standing in a queue. There are 5 persons between A and B and 8 persons between B and C. if there are 3 persons ahead of C and 21 persons after A, what could be the minimum number of persons in the queue? • Answer is : 28 answer 06/29/09

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BM was counting up odd numbers from 1 onwards. Vivek was counting downards 32. Will they count the same number together? Their speed is same. • No.

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Maximum 36 vehicles are marked in a parking lot in a single row. After the first car, there is one more bike. After the 2nd car there are 2 bikes and after 3rd car, there are 3 bikes and so on. How many bikes are there in the second row?

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173

A performance review table is incomplete with some more details…

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Additional information • Half the workers were either excellent or good. • 40% of the workers were females. • One third of the male workers were average. • How many students are both female and excellent 06/29/09

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Solution…

excelle nt total

avg

good

male

16

22

10

48

female

24

8

0

32

total

40

30

10

80

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176

answer • Zero

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177

In which month was the greatest absolute change in market value for any share recorded? (black bar = XYZ, white bar = ABC )

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178

SOLUTION… • MARCH (by observation, we find the share prices of XYZ have increased by some 17 points)

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179

The average market value of XYZ. shares is, by what percent less or more than the same for ABC? (black bar = XYZ, white bar = ABC )

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SOLUTION • • • • •

ABC is approx. 75 XYZ is approx. 103 The difference is : 28 28/75 *100 =36% approx. answer.

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181

(black bar = XYZ, white bar = ABC ), market capitalisation means no. of shares * market price. Both companies have 1000 shares. What is the maximum market capitalisation of any company over the period?

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Solution… • The highest price visible is of ABC of 68 in the month of April. • 68 *1000 gives us 68000. thus highest market capitalisation possible is 68000 for ABC.

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183

Which Lok Sabha had minimum seats?

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184

Solution… 498.8662132 500 502.9585799 523.6486486 521.3270142 544.4126074 543.6893204 550 517.2413793 AFTERSCHOOOL centre for social entrepreneurship 544.6927374 www.afterschoool.tk

• We have to calculate the number for each loksabha. We find that it is least in the first lok sabha itself. It is 499 for the first year.

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185

Pointing out to a lady, a girl said, ‘She is the daughter-in-law of the grandmother of my father’s only son.” How is the lady related to the girl? • MOTHER (start from last and try to solve backward and you are able to solve it.) 06/29/09

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186

Introducing a man to her husband, a woman said, “His brother’s father is the only son of my grandfather.” How is the woman related to this man? • Sister (answer)

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187

What will be next in the series: 4, 5, 9,18,34 … • • • •

Options: 43, 59, 50, 49 Solution… 4 + 1, = 5, 5 + 4 = 9, 9 + 9 = 18…. So on, we can see that only square values in series are added – thus the next value to be added will be 25, so 34 + 25 = 59 .

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188

What will be the next in the series : 66,36,18 … • Options: 3,6,8,9 • Solution: • • • •

6 * 6 = 36, 3 * 6 = 18 1*8=8 So next number will be 8 .

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189

What will be the next in the series : 21,25,33,49,81,.. • Options: 145,111,113,127 • Solutions • Look at the differences : 4,8,16,32 so on. It is a series : • Thus next number will be : 81 + 64 = 145 ans 06/29/09

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190

What will be the next in the series : 12,32,72,152 … Options : 313, 312, 315, 512 Solution: Look at the difference : 20,40,80,160… Thus next number shouold be : 152 + 160 = 312 answer. 06/29/09

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191

DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner to Delhi. His colleague Tarun joins him on the way. There are three stations A,B,C on the way (not necessarily in this order), What is the sequence of these stations?

• STATEMENTS: `1. Tarun joins at B • 2. Mr. Jitesh who travels between A & C is with Vishal and nevercentre travels with Tarun. 192 06/29/09 AFTERSCHOOOL for social entrepreneurship www.afterschoool.tk

Solution… • Both the statements are inadequate to answer : as we don’t know out of A and C which comes earlier. There is not confirmed information in the question.

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193

Data sufficiency question… What is the value of prime number X? • X ^2 + x is a two digit number greater than 50 • X^3 is a three digit number • Solution… • Both the statements are required to give the answer. – as 7 is the only prime number which fulfills both the conditions. 06/29/09

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194

DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner to Nokha and was delayed by 40 minutes due to engine trouble. What is the distance beteween bikaner and Nokha statements : 1. Engine trouble developed after 40 km from Bikaner and speed reduced by 1/4th of the original speed 2. engine trouble developed after 2 hours of journey and speed reduced by 1/4th. 06/29/09

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195

DATA SUFFIENCIENCY : The ratio of two number x and y is 2:3 what are the values of x and Y?

• • • •

1. 3x – 2y = 0 2. 2x + 7 y = 1 Solution…. 2nd statement alone is sufficient to answer 06/29/09

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196

Read this table carefully and answer: What per cent of Karnataka’s railway network has broad gauge tracks?

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197

solution • Total rail network in Karnakatak : 552 • Thus 365/552 *100 gives 66.12% answer.

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198

Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the system software export in 1990 is

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199

Solution… • 2800 / 6300 * 9000 = 4000 answer

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200

Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the financial software export in 1990 is

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201

Solution • Answer cannot be determined.

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202

By how many times has AIR’s (both Vividh bharati and Primary channel) commercial earnings increased over the given period?

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203

Solution… • AIR revenue increased from 6.26 to 81 over the period of time. • Thus it has increased by : 12.9 times. • 81 has been arrived by adding 37.3 and 43.7 (both the channels).

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204

If 50 units each of A and B are produced, which machine has been poorly utilised?

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205

solution • Except in machine 2nd, all the macines are having 100% capacity utilisation. • You can see this for machine 1 as : 50 * 3 + 50 * 4 = 350 • Answer = 2nd machine

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206

I go 2 km towards east, I turn right and go 1 KM then I again turn right and I go 1 KM. In which direction am I now from my starting point? • Answer: south east

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207

A three CM cube has been painted red on all its sides. It is cut into one CM cubes. How many cubes will be there with one side painted red? • 26 cubes will have one or more sides painted, out of these, some will be having 2 sides painted and some 3 sides painted. The number of cubes having only one side painted will be : 6 answer. 06/29/09

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208

X+y+z > 0, is Z > 1? Data sufficiency: 1) : Z > x +y, 2) : X+Y < 1 • Both the statements are not sufficient

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209

X+y+z > 0, is Z > 0? Data sufficiency: 1) : Z > x +y, 2) : X+Y < 1 • 1st statement alone is sufficient to answer the question.

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Question on assumptions • • • • • • •

: “If you are beautiful, we will catch your beauty. If you are not, we will make you beautiful.” —An advertisement of a photo Studio. I. How to look beautiful, is a problem of youngsters? II. Nobody desires to be beautiful

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211

Answer …. • Only the first assumption is valid assumption.

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212

Question on assumption… • • • •

The integrated steel plants in India would no longer have to depend on imports for continuous casting refractories. I; Continuous casting refractories are. needed by India. • II. Continuous casting refractors are in demand. 06/29/09

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213

Solution… • Both the statements are valid assumption…

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214

What is the missing number?

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215

Solution… • Based on logic : • 4+ 1 – X = 4 • SO X = 1.

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216

FIND THE MISSING VALUE (here instead of 41 read 42)

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217

SOLUTION… • The answer is 7, • 7 * 4 = 28 and 7+4 = 11. answer

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• On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. What is the minimum possible total of numbers on the faces if the three dice show the same number 2? 06/29/09

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Answer… • The answer should be 21 with the following breakup : • Three dice of 2 each • One dice each of 4,5,6. • Total them up = 21. answer.

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Question on puzzle • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. • What is the maximum total if 4 of the dice show less than 4? 06/29/09

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Solution… • Answer is 22 with the following combination: • Three 3 = 3* 3 = 9 • One each of 2,5,6 = 13 • Total 22. answer.

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Puzzle… • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. • If only 1 dice shows 1, what is the maximum number of dice with numbers greater than 4? 06/29/09

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Solution… • Answer is 2.

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Puzzle … • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • If only 1 dice shows 1, what is the maximum number of dice with numbers greater than 4? 06/29/09

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Solution…. • We can take as under : • 6,5,5,5,4,1, • Thus answer is 4.

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After his.oftlce, in the evening, a man walks facing the sun. He turns first to his right, then to his left and again to his left and then to his right. In which direction is he moving now?

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Solution… • He is moving towards west. You can cancel two left movements and two right movements by each other.

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Starting from a point, Jitendra walked 12 m towards North, he turned right and waked 10 m, he again turned right and walked 12m, then he turned left and walked 5 m. How far is he now and which direction from the starting point?

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Solution… • 15 m. east

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What is the all India annual growth rate in demand of X as the following table?

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Solution… • A compound growth rate of 14.14 will make 146.54 to 283.9 in 5 years. • 146.54* (1.1414)^5 = 283.9

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Out of these, which region had highest growth rate?

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Solution • The highest growth in the East section (in %) • In absolute terms, the highest growth rate is in South region

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WHAT IS THE NET DEMAND AT B?

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SOLUTION • THE NET DEMAND AT B IS • 1200 – (250 + 550) = 400. ANSWER.

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FOUR FRIENDS ARE SITTING IN A ROW TO BE PHOTOGRAPHED. • D IS TO THE RIGHT OF B. C IS NEXT TO B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. THERE IS ONLY ONE PERSON TO THE LEFT OF C. • WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT?

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SOLUTION • PUT C IN 2ND POSITION FROM LEFT AND A AND B IN EXTREME POSITIONS • ADCB • Answer.

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Four friends are being photographed? • D IS TO THE RIGHT OF B. C IS NEXT TO B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. IN THE PHOTO THAT WE TAKE, THERE IS ONLY ONE PERSON TO THE LEFT OF C. • WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT? 06/29/09

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SOLUTION • NOW WE HAVE TO PUT C AT 2ND POSITION FROM LEFT FROM OBSERVER’S PERSPECTIVE. • A AND B ARE AT THE TWO ENDS. • SITTING ARRANGEMENT IS : • ACDB. • ANSWER. 06/29/09

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There were 6 cars in an exhibition. Alto was to the immediate right of Swift. Spark was between ambassador and Indica. I10 was at one of the extreme ends. If you take the third car from your right (when you observe these cars), then you find a car whose name starts from I. What is the 3rd car from your left? 06/29/09

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Solution… • It will be either spark or swift • (draw the maps and solve it).

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6 friends are getting photographed. They are sitting in a row. A and C are sitting together. D is to the immediate right of B. C is in the 2nd position from left (when you observe them), E and F are in the middle. There are three persons to the left of E. A is to the right of maximum number of persons. What is the correct sitting order? 06/29/09

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SOLUTION…. • The correct solution is : • ACEFDB

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ARGUMENT…. • Should there be world government? • A 1. yes, it will help in eliminating tensions • A 2: no – then only developed countries will dominate. • ANSWER : • Both the arguments are logical arguments… 06/29/09

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QUESTION ON BLOOD RELATION… Ram says: “he is the husband of X, who is the daughter of Y, who is daughter of Z, who is my father.”. What is the relation between Ram and Y. ANSWER : Ram and Y are brother and Sister.

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QUESTION ON CODING : • A COMPUTER USES FOLLOWING SYSTEM WHILE SOLVING: • Input : 23, 09, 320, 90, 12, • 1st step: 320, 23, 09, 90, 12 • 2nd step : 320,90,23,09,12 • 3rd step & Output: 320,90,23,12,09 • In how many step will following input be solved : 90,121,94,23,233,898,22,400? 06/29/09

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Solution… • • • • • • •

Input : 90,121,94,23,233,898,22,400? 1st step: 898, 90,121,94,23,233,22,400 2nd step: 898,400, 90,121,94,23,233,22, 3rd step: 898,400,233, 90,121,94,23,22, 4th step: 898,400,233,121,90,94,23,22. 5th step: 898,400,233,121,94,90,23,22 Thus the question is solved in 5 steps. Answer.

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SYLLOGISM • •

1. : all rooms are stones 2. all stones are diamonds Conclusion: 4. All rooms are diamonds 5. All diamonds are rooms 6. All stones are rooms 7. No conclusion can be drawn 06/29/09

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Answer • Only 1st conclusion can be drawn

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Syllogism • • • • • • •

1. all chairs are tables 2. all tables are books Conclusion 1. some chairs are tables 2. some chairs are not tables 3. some tables are not chairs 4. no conclusion can be drawn

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Answer • Only 1st conclusion can be drawn

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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are ambitious chess players. 06/29/09

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solution • A,D,F,M are the ambitious chess players

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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are the chess players, who are neither honest, nor hardworking, ambitious , intelligent? 06/29/09

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Answer • None

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Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, make a cricket team of hardworking, intelligent and honest players 06/29/09

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Solution… • E and G.

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2^a = 3^b = 6^-c , what is value of 1/a +1/b +1/c? • Let us assume a value which we can equate with all these values. (use log table for solving this question). • Let us take all these values equal to 1. thus value of A, B and C are equal to Zero. Thus the answer is Zero. • We can also assume these values to be equal to 6. • A = 2.6, B =1.65 and C = -1 • Now putting these values: ½.6 + 06/29/09 www.afterschoool.tk centre for social entrepreneurship 259 1/1.65 – 1 AFTERSCHOOOL www.afterschoool.tk

Log T + Log (T-3) = 1, what is T? • We know that Log 10 = 1. (Log 10 10 ) • In log, we multiply, where the symbol is +. • Thus t * (t-3) = 10 ; T^2 -3T =10; • T^2 -3t -10 = 0 • T^2 – 5T + 2T -10 = 0 • T (T-5) +2 (T-5); T-5 = 0 or T =5; T+2 =0 • T = 5 or -2 • Thus T = 5 answer. 06/29/09

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• • • •

Sum of 2 numbers is 52 and their difference is 2. what are the numbers? X + Y = 52 X –Y = 2 Add these: 2X = 54; X = 27 Y = 25 answer.

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Diagonal of rectangle is 5 CM. One of its side is 4 CM. Its area is ?

• Let us find the other side. • As per pythogorus rules, other side is sqare root of (5^2-4^2) = square root of (25-16) = square root of 9 • Other side is 3. • Area = 4*3 =12 answer. 06/29/09

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Fourth part of a number exceeds the sixth part by 4. what is the number? • • • •

X / 4 – X /6 = 4 (6X-4X) / 24 = 4 2X = 96 X = 48 answer.

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Two numbers are such that twice the smaller number is less than twice the greater one by 18 and 1/3 of smaler and 1/5 of greater number are together 21. What are numbers? • Bigger num be r = X , smaller no. = Y • 2X-2Y = 18; 1/ 5 X + 1/ 3Y = 21 • Let us multi ply second eqation by 10, we get: 2X + 10/ 3 Y = 210. S ubtr act t hi s equat ion from 1 st . We get -16/ 3 Y = -192 • Y = 19 2 *3/ 16 = 36. t hus smaller nu mber is 36. Put ting this in fir st equation, we get 2X = 90 or X = 45 an swer.AFTERSCHOOOL . www.afterschoool.tk 06/29/09 centre for social entrepreneurship 264 www.afterschoool.tk

A number between 10 & 100 is five times the sum of its digits. If 9 is added to it, digits are reversed. What is the number?

• Let us assume unit digit to be X & digit at tenth place to be Y. • The number is : 10Y +X • 10Y +X= 5 (X +Y) • (10Y +X ) +9 = 10X +Y or 9y-9X = -9 or Y-X =-1 • 10Y – 5Y=5X-X or 5Y = 4X or Y = 4 and X = 5 thus number is centre 45. for social entrepreneurship 06/29/09 AFTERSCHOOOL www.afterschoool.tk 265 www.afterschoool.tk • Solve such question by options.

Find the fraction which is equal to ½ when both its numerator and denominator are increasd by 2 and is equal to ¾ when both are increased by 12? • Options: 3/8, 5/8, 3/8, 2/3 • Try from options. First option gives you answer. If you add 2 in each, you get 5/10 (which is ½) and if you add 12 in both the digits, you get 15/20 (which is ¾). 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 266 Thus optionwww.afterschoool.tk 1 gives answer.

If X: Y = 3:4, value of x^2y +xy^2 :x^3+y^3? • Putting X = 3 and Y = 4. • 36+48: 27+64 • 84:91 (divide both the numbers by 7). • = 12:13 answer.

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If 2s:3t is duplicate ratio of 2s-p:3t-p then which is true: p^2= 6st or p =6st or 2p =3st

• Try from options. • Let us assume that P = 6. and as per first option, St = 6. Let us try putting values in s and t and if we get correct answer, we get answer. S = 2, T = 3 or 4:9 • We get next ratios as : -2: 3 (which is subduplicate ratio of 2s:3t) thusAFTERSCHOOOL this is the answer. 06/29/09 www.afterschoool.tk centre for social entrepreneurship 269 www.afterschoool.tk

ABO UT AF TERSCH OO OL Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CM A / 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. 06/29/09

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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk for social entrepreneurship 271 • To enable people tocentre promote 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. 06/29/09

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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 273 earn while you learn 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 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 274 www.afterschoool.tk • 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 (wi th CA / CS /CMA ) • Hospital management and Health care • Hospitality sector and culture and heritage • Other sectors of high growth, high technology and social relevance 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 275 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 succ ess in life – not just a degree • Indepth knowledge and expert ise • 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 • Lat es t and constantly changing curriculum – keeping pace with the time • Placement for those who are interested 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre social entrepreneurship 276 • Admissions open throughout thefor year www.afterschoool.tk • Latest and most advanced technologies, books and

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 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 277 • Mind Power Training & writing workshop (by Dr. T.K.Jain) 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 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 278 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. 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 279 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. 06/29/09

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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 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 281 www.afterschoool.tk

www.afterschoool.tk social entrepreneurship for better society

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