Management Aptitude Test 6 Nov

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MANAGEMENT APTITUDE TEST

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

MANAGEMENT APTITUDE TEST

Dr. T.K. Jain.

AFTERSCHO☺OLCentre for social entrepreneurship

Bikaner M: 9414430763

tkjainbkn@yahoo.co.in

www.afterschool.tk, www.afterschoool.tk

Another word for nickname or alternate name or false name?

• Pseudonym

A ladder is placed against a wall such that it makes an angle of 60’ with the ground surface. If the fool of the ladder is at a distance of 3 m

from the bottom of the wall, then the tip of the ladder is at a height of

• We know that Tan = Perpendicular / Base

• P/B (Tan 60) = Sqrt (3)

• P / 3 = Sqrt (3) thus P = 3 *sqrt(3)• Thus height is 5.196 answer.

Solve it

• Jyoti observes from a point on the ground with the angles of elevation of the top and bottom—of a flag post standing on the top of a building 300 m high to be 45’ and 60’ respectively. The height of the flag post is

• (1) 200w (2) lOOm (3) 219.6m

• (4) 300m (5) 143.2m

Solution

• We will use Tan 45 and Tan 60• Tan 45 is 1. • Thus Perpendicular / Base = 1• 300/ Base = 1• Base = 300• Now solving for flag: tan 60 = sqrt(3)• Perpendicular / 300 = Sqrt(3)• Perpendicular = 300 *sqrt(3) = 519.62• Thus the height of flag is 519.6 – 300 = 219.6

answer.

Solve the following?

• Two numbers when divided by a certain divisor leave remainders 238 and 342 respectively. When the sum of the two numbers is divided by the same divisor, the remainder is 156. Find the divisor.

• (1)384 (2) 404• (3) 424 (4) Cannot be determined

Solution

• 238 + 342 =580• Now deduct 156 from this:

• 580 – 156 = 424 answer.

Solve it. . . .

• If the hands of a dock coincide for every• 64 minutes, Then how much time does the

clock gain or lose per day?• Solution: • Ideally the clock should take 60 * 60/55 time

for coinciding. = 65.4545• Thus the clock is 1.45 minutes faster when it

has covered 64 minutes. If it takes (24*60) minutes, it will be faster by =32.727 minutes answer. .

In a day of 24 hours, how many times do the hands of a clock make

an angle of 180’?

• There is a gap of 65 (approx.) minutes between two such occasions.

• So answer is (24*60)/ 65 = 22.15 or • 22 times answer.

Solve it

A person covered the fIrst 40 km of his journey at 50 km/hr. the next 70 km at 35 km/hr and the remaining distance in 12 minutes. If the average speed for the entire journey is 52 krn/hr, then find the distance covered in the last stretch of the journey.

(1) 22km (2) 34km (3) 40km,(4) 46km

Solution

• Total time =

• 40/50*60 + 70 / 35*60 + 12

• =180 minutes or 3 hours• Total distance travelled : 52*3 = 156 KM.

• Thus the distance travelled in last journey is : 156 – (40 + 70)

• = 46 KM answer.

Solve it

• The distance between two stations Bikaner and Nagour is 120 km. A train starts from Bikaner at 9a.m. with a speed of 40 kmph while another train starts from Nagour to Bikaner at a speed of 40’kmph at 10 a.m After one hour, the first train halts for 16 minutes at a station before Nagour. It then continues the journey while the second train does not halt anywhere. At what time do the two trains meet?

• (1) 11.08.005 a.m. (2) 11:15a.m.• (3) 11:05:30a.m. (4) 11:10:30 am.

Solution

• The first train covers 40 KM. Then the second train starts. In next 16 minutes, it covers : 10.66 KM.

• Now both the trains are running in opposite direction.

• Total distance = (120 – 40 – 10.66) =69.34• Speed = 40+40 time = 52.005 minutes• Thus the trains will meet at 10.16 +.52.005

= 11.08.005 answer.

A train travelling at 72 kmph starts overtaking a motorcyclist travelling at 36 kmph at 4 p.m. and overtakes him in 20

seconds. Then the train travels for exactly half an hour and starts crossing

another motorcydist travelling at 36 kmph in the opposite direction. When will

tho second motorcyclist meet the first motorcyclist?

(1) 4:45p.m. (2) 5:00p.m.(3) 5:15p.m. (4) Noneof these

Solution

distance covered by the train in half an hour = 72 *30.33/60 =36.396

Distance travelled by the first motercyclist in this time = 36 *30.33/60 =18.198

Thus distance between the two motorcyclist is 18.198. Time to be taken up

= 18.198/(36+36) = 15.16 minutes

=4.00 +.30+ 15.16 = 4.45 (approx) answer.

Which is a valid assumption?

• Statement = transformational leaders use their vision and superordinate goals to inspire people

• Assumptions:

• 1. People need transformational leaders• 2. It is possible to inspire people• Solution :

• 2nd is valid assumption

Afterschoolian Prateek’s programme was telecasted on TV yesterday. (how will you correct it)

• Afterschoolian Prateek’s programme was telecast on TV yesterday. (how will you correct it)

Afterschoolian Sumit will return back from USA in 1 month. (how

will you correct it)• Afterschoolian Sumit will return from the

USA in a month. (how will you correct it)

Let Hulash and he completed the work.

• Let Hulash and him complete the work.

Let us congratulate Keshav over his accomplishments.

• Let us congratulate Keshav on his accomplishment.

Have you consider – what common public will think?

• Have you considered – what will public think?

Which is logical?

• A. None is truthful. One who is not truthful eats a lot. All eats a lot

• B. Goti is a genius. All genius are fair. Goti is fair.

• C. Army officers are smart. Air force officers are smart. All smart are army or air force officers.

• D. No Animals like fire. Kap likes fires. Kap is not animal.

Solution

• If we study first and second statements, we find the 3rd statement is logical in A,B,D. answer.

Which are similar?

• Fish: School • Coin: Shock • . Hair: Strand• .Whale:Shoal• . Timber: Strip

• Solution: group of fish is called school, group of whale is called shoal.

Some animals are learners. Therefore, learners are animals. Is

it logical? • No.

All animals are learners. Therefore, some learners are animals. Is it

logical?

• Yes

Some animals are learners. Therefore, some learners are not

animals. Is it logical?

• No.

Some animals are learners. Therefore, some learners are

animals. Is it logical?

• Yes

No student is politician, therefore we can say that no politician is

student – is it logical?

• Yes

There is a software, read it and analyse it:

1. Let Y = 0

2. Let X = Y

3. Let W = X +Y

4. Let K = Y^2 – W

5. Let Y = Y +1

6. Let Y = Y * 2

7. If W > 50, Stop, else go to 2.

Question ?

• What will be the value of Y , when the software will stop

• Solution

• Y will be 30 answer.

After how many rounds, will the software stop?

1. Let Y = 0

2. Let X = Y

3. Let W = X +Y

4. Let K = Y^2 – W

5. Let Y = Y +1

6. Let Y = Y * 2

7. If K > 1, Stop, else go to 2.

Solution

• After 3rd round the software will stop.

Organisations needs to develop policies for facilitate the process to

organisational learning. (improve this sentence

grammatically)

• Solution ..

• Organisations need to develop policies to facilitate the process of organisational learning.

All these numbers have their base number as 4 or as indicated

( these numbers do not have 10 as the base). Give the answer.

• The square of (132)4 IS

• (1) (4242)7 (2) (10230)4 (3) (2424)7

• (4) (32012)4 (5) (4242)2

Solution

• Let us convert the number to base 10 • 1*4^2 + 3*4^1 + 2 * 4^0• = 16 + 12 + 2• =30, square of 30 is 900. Let us find the

number in different formats. First let us find it in the base 4. 900/4 225/4 = 56/4 =14 /4 = 3

• =32010. now let us try with 7. we get (2424)7 as the answer.

Solution

• 900/7 = 128/7 = 18/7 = 2

• Start with 2 and put the remainders in sequence

• We get 2424 as answer.

If overall score is calculated as MI*.25 and TI *.75, which team will score the highest overall score?

In the previous question, what is the loss in % of the team, which

has suffered maximum loss (difference) in comparison to

previous year in %?

• in %

Solution

0.291153.7215.6438.08Pakistan

0.314653.5616.8536.71England

0.339424.68.3516.25Zimbab

Solution …

• Thus as we can see here , Zimbabwe has suffered maximum loss (difference) which is 34% approximately. Second team is England.. Answer

Sum of 1st to 30th terms of a series in arithmetic

progèssion is 150. if the first term is A, what is 30th term of the series?

• Sum = 30/2 (2a + (29)D) = 150• 2a + 29d =150*2/30 = or 29 D = 10 – 2A • 30th term = A + 29D• 29 D = 10 – 2A, putting the value, we get the answer

= 10 – A answer

Question on number system

• Convert 252 into binary system

• 252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/2 = 7/2 = 3/2 =1 (starting from last remainder to the first)

• 11111100 answer.

• Convert it again to decimal system:

• 1*2^7+1*2^6+1*2^5+1*2^4+1*2^3+1*2^2+0*2^1+0*2^0 = 128+64+32+16+8+4 = 252

Multiply 12 to 13 ( note - both are octal numbers, your outcomes must

also be in octal numbers)?

• Let us first convert them into decimal numbers: 12= 1*8^1 + 2*8^0 =10

• 13 = 1*8^1 + 3*8^0 =11• Now multiply 10 to 11 = 110• Now convert it into octal number: • 110/8 = 13 / 8 • =156 • Test = now convert 156 to decimal

number

Convert 156 (octal) to decimal number …..

• 1*8^2 + 5*8^1 + 6*8^0

• =64+40+6

• =110 answer.

Multiply 5 (base 16) to 12 (base 7) and get the outcome in binary?

• (5*16^0 ) * (1*7^1 +2*7^0)

• 5 *9 = 45

• 45/2 = 22/2 = 11/2 = 5/2 =2/2 1• =101101 answer.

78.8% of a common medicine for stomach-upsets is absolute alcohol;

3.3% of it is mentha oil; 0.07% spear mint oil; and 0.177%

chloroform. How much of each of these compounds is there in a pack

of 30 ml?solution

alchol = 23.6 ml, 1 ml of menthol oil and so. On.

What is the sum of cubes of the first 5 natural numbers?

• Formula

• = [N (N+1)/2 ]^2

• = [5*6 / 2 ]^2• =225 answer.

What is the sum of squares of the first 13 natural numbers?

• Formula

• =[n(n+1)(2n+1) ] /6

• =(13*14*27)/6• =819 answer.

In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls

in the class.

• Let the number of girls be X

• X + 3/5X = 80• 8/5 X = 80

• X = 80 *5/8

• X = 50 (the number of girls is 50, boys are 30) answer.

The difference between two numbers is 30. On dividing the

greater by the smller the quotient is 3. Find the numbers.

• Let the smaller number be X.

• 3X – X = 30

• 2X =30; X = 15, • Thus 2 numbers are 15 and 45 answer.

Gunpowder contains 75% nitre and 10% sulphur. The rest of it is

charcoal. What is the amount of charcoal in 9 kg of gunpowder.

• Charcoal is (100 – 75 – 10) = 15%

• 9 KG = 9000 Grams

• 9000*15/100• =1350 grams answer.

Question on profit

• At what percentage alove the Cost price must an article be marked so as to gain 33% after allowing the customer a discount of 5%?

• (a) 48% (b) 43%

• (c) 40% (d) 38%

• (e) None of the above

Solution …

• Let the cost be 100

• Final price being realised 133

• It is after discount, so price before discount (marked price) is :

• 133*100/95 =140 , so 40 is the answer.

A vertical pole PO is standing at the centre 0 of a square ABCD. If AC

subtends an angle 90° at point P of the pole then the angle subtended

by a side of the squareat Pis

(a) 35° (b) 45°(c) 30° (d) 60°

(e) None of the above

Solution

• When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 60 degree. (rule).

• So answer is 60 degrees.

Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent

per cent pure gold.

• 22/24 *100

• =91.67 % answer.

In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is

the perimeter of the region marked B?

Solution

• Permieter of one circle is 2/3 now because, it is being cut by other circle.

• Thus 2/3 + 2/3 of perimeters added : • 2 * 2/3 * (formula of perimeter = 2pi *r)

• =(8 * pi * r) /3 answer.

What is angle C?

Solution

• Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer.

What is angle a?

Solution

• Angles from D and C are equal . • 180 – 60 – 37 – x• =83 – x• Let us sum up for two angles: • (180+180 ) = 360• 83-x + 83 – x + 180+2X = 360• 2Y +2X = 180 let us assume Y = 53 • 2X = 72 or X = 36 answer (solve by options,

so angle A = 53 ) 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 • EsGotitial 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• PreGotitations, 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

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