Statistics, Index Numbers, And Analysis For Business 18 October

www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

MOCK TEST

AFTERSCHOOOL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


MOCK TESTDr. T.K. Jain.

AFTERSCHOOOLCentre for social entrepreneurship

BikanerM: 9414430763

[email protected]

www.afterschoool.tk

http://www.afterschool.tk/

http://www.afterschoool.tk/


WHICH IS STRONG ARGUMENT When defects go unspotted until the end

of a process it is too late to fix them. A. Yes : By the end of the process, the

defects have been incorporated. B. No : There are processes that are not

irreversible – the defects may be eliminated at the end.


Answer Both are strong arguments.


P ( - 4, b ) and Q ( 2, b + 2 ) are 2 points and the coordinates of the middle point of PQ are ( - 2, 2) . The value of b is 1 3 -2 -1

Answer : 1.


The slope of the line Joining A (-4. 6) and B (5, 3) is 2/5 -1/3 2/3 1/3 Formulae of slope = (Y2-Y1) / (X2-X1) =(3-6) / (5-(-4)) =-3/9 =-1/3 answer.


The points of intersection of the circle x^2 +y^2 = 34 and line y = 5 a. (2, 4 ) ( -2, 4) , b. (3, 6) (-3, 6) , c (3, 5) (3, -5), d(2, 3) (-2, 3)

Only third option meets the criteria and therefore the answer is C.


Complete the series 25, 125, 36, 216, 49, ____ 200 290 335 343 7*7*7 = 343 answer.


The value of a machine depreciates at the rate @ 15% per annum. If the price of a new machine is Rs. 60,000 its value after 2 years will be Rs. 43350 Rs.45000 Rs. 52570 Rs. 51750

43350 Very easy as = (60000*.85*.85) = 43350

answer.


80% of p = 40% of Q and Q = X % P . Then the value of x is 360 200 300 250 Let us assume that P = 100. 40% of Q is

80, Q is 80 *100/40 = 200. Thus Q is 200% of P. X = 200 answer.


The population of a town increase by 10% every year. If it is 16093 now, its population 2 year ago was 13300 14200 14750 15265 13300 answer.

16093*100/110*100/110


If A:B is 2:3 and B:C is 3:4 then A:C is equal to 2:3 6:7 5:6 1:2 A: B 2:3 B: C 3: 4 CROSS MULTIPLY, WE GET

COMBINED RATIO: 6:9:12, THUS A:C IS 1:2 ANSWER.


If the numerator of a fraction is increased by 15 % and the denominator is increased by 10% , then the value of the fraction is 15/26, The original fraction is 130/223 158/229 133/462 165/299

15*100/115 = 13 26*100/110 = 260/11 WE GET 143/260 WHICH IS EQUAL TO 165/299, SO

ANSWER IS 165/299 ANSWER.


X varies directly as Y varies and Z varies inversely as Y varies . At a time Y = 10, X = 20 , Z = 5 , If y is changed to 20 then the values of Z is : 2.5 5 10 3

2.5 ANSWER. We have multiplied Y by 2, therefore,

divide Z by 2 and get the answer.


If a Box containing 10 mirrors is dropped which of the following can not be the ratio of broken mirrors to unbroken mirrors. 1 : 1 2 : 3 3 : 2 3 : 4 Look at the options, option D (last option)

gives total of 7 (3:4), which cannot divide 10, thus this is the answer.


5 (P ‘s Capital ) = 10 (Q’s Capital ) = 15 ( R’s Capital ) then the ratio of their capital is : 6 : 3 : 2 2 : 7 : 9 8 : 5 : 3 2 : 3 : 1

Try 1st option, we get the answer. Answer is 6:3:2.


The difference between a discount of 50 % on Rs. 500 and two successive discounts of 45 % and 5% on the same amount is Rs 15 Rs 11.25 Rs 10 None of These 50% discount gives 250. Two successive discounts of 45% and

5% give : 238.75 (225+13.75) Thus the difference is 11.25 answer


A man rows upstream 10 Km. And downstream 20 Km taking 4 hrs each time. The velocity of the current is 2 Km/h 2.5 Km/h 1.25 Km/h 1. 5 Km/h

Speed while upstream is 10/4 =2.5 Speed while downstream = 20/4 = 5 Velocity of current = (5-2.5) /2 = 1.25 km

per hour.


A boat goes 50 Km upstream in 10 hours and a distance of 40 Km. Down stream is 9 hours. The speed of the boat in standing water is 4.9 Km/h 5.2 Km/h 4.5 Km/h4.72 Km/h

Speed upstream is 50/10 = 5 Speed downstream = 40/9 = 4.44 Speed of boat = (5+4.44) / 2 =9.44 / 2 = 4.72 Km per hour. Answer.


A man can swim 4 Km/h in still water . If the velocity of the stream be 3 km/h the time taken by him to swim to a place 14 Km upstream and back is: 16 Hours 12 Hours 14 Hours 10 Hours

Speed upstream will be (4-3) = 1. Speed downstream will be (4+3) = 7 Thus he will take 14 hours upstream and

2 hours downstream, total 16 hours will be required. Answer.


I shopped in 4 shops 1 after another. In the end I had no money. In each shop I Spent Rs 2 more than 20% of what I had when I entered each shop. How much did I have in the beginning . 87.81 82.35 80.30 85.65 None

None of these.


A rides 5 km at 1 km/h, 4 km at 2 km/h and 12 km at 6 km/h. What is his Average speed .2.33 kmphr. 4.33 kmphr. 3.33 kmphr. 1.33 amp hr.

Total distance: 21 Total time: 5+2+2 = 9 21/9 = 2.33 answer.


Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path. 144 m2 400 m2 16 m2 Not determined.

Total area 400 (20*20) Area of the park = 12*12 = 144 answer.


If ( p - q) 2 = ( x – y ) 2, then x = (a) p – q + y (b) y – p + q Both ( a) and (b) None of these Only A answer.


Rs. 13400 are invested at SI for 7 years partly at 6 % interest and partly at 4 % interest. If both sums yield equal interest , find the sum invested at 6 %. Rs. 5360 Rs. 3000 Rs. 4000 Rs. 2800

Rs. 5360 (solve by options).


B reaches 10 ,minutes early travelling at 6 km per hour, whereas A reaches 10 minutes late travelling at 5 km per hour. Find the distance. 10 Km 12 Km 17 Km 20 Km

10 Km answer.


Find the next term in the series 123, 129, 141, 147, ____________ 171 162 159 148 159


A 2 digit number is divisible by 6 and not by 12. When the digits are interchanged the numberis also divisible by 12. The absolute value of the difference between the numbers is 18 12 24 36 42-24 = 18 18 answer.


A Farmer notices that the area of his farm in sq. mts is equal to 2 times the square of the number of tractors he owns. If one tractor is stolen he has to sell 62 sq. mts of the farm. So as to maintain the relationship. Find the number of tractors remaining. 14 15 16 17 2X^2 – 2(X-1) = 62 thus X = 16. Now X-1

= 15 Answer is 15


How many numbers greater than a million can be formed using digits 0,6 ,6, 7 , 0, 0 , 6, and 7 ? 410 420 350 800

let us assume that first digit is 6. we have 7P6 / (2!*2!*3!) options for next digits = 210

Let us assume the first digit to be 7, we have 7p6/(3!*3!) =140

Total = 210+140 = 350


At exactly midnight, a thief tries to steal a car from a garage. 2 full minutes are gone before the guard arrives at the scene and starts running after the burglar. At 12 : 05 :00, the burglar panics and slips. By the time he gets up, 10 seconds are gone and the guard has caught up with him . Had he not fallen, the thief would have reached a safe hideout which was at a distance of 3560 m from the museum at 12 : 05 : 56 hours. What was the running speed of the security guard ? 15.07 m / sec 0.6 km / min 12 m / sec 15 m / sec


Answer … … Speed of thief = 3650 meters in 5

minutes 56 seconds. Thus his speed is 3560 meters per 356 seconds. Thus his speed is 10 meters per seconds.

Guard was able to travel (5*60*10) = 3000 meters in (180 + 10) seconds. Thus speed of guard is 3000/190 or 15.07 meters per second answer.


X and Y enter into a partnership by investing certain capital in the ratio of 1 : 3. However, after 4 months, X alone starts managing the business and Y pays him Rs. 10,000 per month. How much profit should they make so that at the end of the year, when the profit is divided, the net incomes of both are the same for the year ? Rs. 40,000 Rs.320,000 Rs 400, 000 Rs . 200, 000 None of these


Solution . . None of these.


Complete the series 1, 3, 4, 13, 53, ____ 690 670 65 35 690 Each term is multiple of last two terms

+1.


There are 5 people - A, B, C, D, E, standing in a queue. How many ways are available to form the queue such that D is not ahead of E ? 60 120 125 80

60 is the answer.


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.


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 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


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


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 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


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 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.


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 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 social entrepreneurship for better society

http://www.afterschoool.tk/

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Statistics, Index Numbers, And Analysis For Business 18 October

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