Transcript MATHS, REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk www.afterschoool.tk A right circular code of height H is cut by a plane parallel to base at.

MATHS, REASONING &
DI
Dr. T.K. Jain.
AFTERSCHOOOL
M: 9414430763
[email protected]
www.afterschool.tk
www.afterschoool.tk
www.afterschoool.tk
A right circular code of height H is cut by a plane
parallel to base at a distance H/3 from base, then
volumes of resulting cones and frustum are in
ratio?
Let us assume H =3, R =3
 Total volume: 1/3*3.1428*9*3 =28.28
 Now new cone: 1/3*3.1428*4*2 = 8.38
 Ratio 8.38: 19.9
 Or approx. .4: 1 or 1:2.5

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Which one of the following cannot
be ratio of angles in right angle
triangle?
1:2:3
 1:1:2
 1:3:6
 None of these


In first we get 30,60, 90, in 2nd 45,45,90,
in 3rd, we get 18,54,108. thus 3rd is not
the case of right angle triangle.
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A cube of 12 centimeter is painted red on all faces,
then cut into smaller cubes, each of the side 3 cm.
what is the total no. of smaller cubes having none
of their faces painted?
 4*4*4 = 64
 12/3 will give you 4
 64 are total cubes.
 In front we have 4*4 = 16 cubes. 16 are in back
side (all these are painted).
 That means, there are 2 rows left in between
(out of 4 rows).
 Thus we have 2*2*2 = 8 cubes unpainted.
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The radius of a circle is 6 cm. perpendicular
distance from centre of circle to the chord (which
is 8 cm. in length) is ?
6^2 – 4^2 = Sq. root of 20
 =2 *5^1/2 ans.
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An equilateral triangle ABC is inscribed in a circle
with centre O. What is the measure of angle BOC?
BOC is double of BAC
 BAC is 60 degree
 BOC is 120 degree.

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2 circles touch each other externally. The
sum of their areas is 130 pi. Sq.cm. distance
between their centres is 14 cm. what is the
radius of smaller circle?
Let us assume that the radii of these
circles are X & Y.
 X^2 +Y^2 = 130
 X+Y =14
 Let us try for 3 & 11, the total is 14 & sum
of squares is 121 thus radius of smaller
circle is 3 ans.
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A traiangle with sides 13,14, 15 is incribed in a
circle. What is the radius of the circle?
Applying hero’s formulae.
 S = ½ (13+14+15) = 21
 Area of triangle = sq.root (21*8*7*6)
 =84
 Radius = Area of triangle / S
 =84/21 = 4 ans.
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The chord of length 14 cm is at a distance of 6 cm
from centre of circle. Length of another chord at a
distance of 2 cm from centre of circle is ?
Let us find radius of circle.
 7^2 +6^2 = 49+36 = square root of 85
 Length of half the chord
 is square root of (85-4) = 81 = 9
 Thus length of chord is 18 Cm ans.
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Distance between centre of two equal circles of
radius 3 each is 10 cm. What is the length of
transverse tangent?
Applying pythogores theorem, we are
able to get half
 the tangent
 5^2 – 3^2
 =square root (16)
 Thus transverse =8
 Ans.

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Three equal circles touch each other. What is the
ratio of area of circle circumscribing these 3 circles
to circle?
Let us assume radius of circles to be 7
 We have an equilateral triangle
 Joining the centres of three circles.
 Thus side of equilateral triangle is 14
 Circim centire = 7/3^1/2
 Radius of bigger circle is 7/1.732 +7
 Radius are in the ratio 7: 15.08
 Thus their areas are in the ratio: 49:227 approx.
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There is a right angle triangle of side 6 & 8 and a
hypoteneuse. One circle is incribed into it. What is
the radius of circle?
Find hypoteneuse: 8^2 +6^2 = sqrt (100)
= 10
 Let us assume radius
 Of circle = X
 (8-x) + (6-X) = 10
8
 14-2x = 10
 2x = 4
 x = 2 ans.
6
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In a cyclic quadrilateral the
opposite angles are always?

Supplementary (when we add them, the
total will be 180 degree always).
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What is the radius of a circle circumscribing
an equilateral triangle of side 10?
10/3^1/2
 =10/1.732
 =5.77 approx. ans.
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What is the radius of a circle inscribed an
equilateral triangle of side 10?
10 / (2*1.732)
 =2.88 ans.
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A circle has 2 parallel chords of lengths 6 & 8 and
are 1 cm apart and are on the same side of centre.
What is diameter of circle? 5/7/10/12
let us try from options:
 If we take 10, radius is 5
 5^2 – 3^2 = 4^2
 5^2-4^2 = 3^2


Thus the distance from centre to nearest chord is 3 & to
the other chord is 4 and distance between chords is 1
(condition met).

Thus diameter is 10 ans.
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How many jobs are there in media
planning?
Total (numbers)
Media planning
Production
Creative design
Client Servicing
Others
Total (in %)
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1500
13
27
26
22
12
100
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From the total vacancies, creative design & client
servicing jobs, each is reduced by 10% to increase
vacancies in media planning. How many jobs are
available in media planning now?
Total (numbers)
Media planning
Production
Creative design
Client Servicing
Others
Total (in %)
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1500
13
27
26
22
12
100
Answer:

There are 195 jobs for media planning.
There are 390 jobs for creative design and
330 jobs for client servicing. When we
reduce these by 10% each, we are getting
39 and 33 jobs from these. Now total jobs
are 195+39+33 = 267 jobs. Ans.
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How much is the average
production of rice, compared to
average production of sugar?
Sugar
(ml. ton) Rice
2000-1
50
100
2001-2
75
125
2002-3
100
150
2003-4
125
175
2004-5
150
175
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Answers:

Average production of sugar is 145 million
tonnes, average production of rice is 100
million tonnes. Thus average production of
rice is 69% of that of sugar.
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If production of sugar and rice in 2005-6 increases by 10%
&12% respectively over their production in 2004-5, by what
% will the combined production of rice and sugar in 2005-6
be higher when compared to previous year?
Sugar
(ml. ton) Rice
2000-1
50
100
2001-2
75
125
2002-3
100
150
2003-4
125
175
2004-5
150
175
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Answer

Total production of rice and sugar was 325
million tonnes in 2004-5. but it will be
360.5 million tonnes in 2005-6 thus there
will be increase of 10.9%
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What is the average production fo
sugar in ml. tonnes?
Sugar
(ml. ton) Rice
2000-1
50
100
2001-2
75
125
2002-3
100
150
2003-4
125
175
2004-5
150
175
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The table below gives details of value of
pearl exports from India to various
countries.
in $ million
US
UK
CHINA
germany
France
Italy
Switzerland
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2000
4.25
0.75
1.5
2.5
1.75
0.5
1.5
2004
6
1.25
2
3.25
2.25
1.25
2.25
Total exports in 2008 is estimated to be
$15 million, what is the share to the US.
in $ million
US
UK
CHINA
germany
France
Italy
Switzerland
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2000
4.25
0.75
1.5
2.5
1.75
0.5
1.5
2004
6
1.25
2
3.25
2.25
1.25
2.25
Answer:

With the given information, this question
cannot be answered.
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3456 is coded as ROPE, 15526 is
coded as APPLE, how is 54613
coded?
POEAR ans.
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2 = P, 3 = N, 9=Q, 5=R, 4=A,
6=B, What is 599423?

RQQAPN ans.
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Gopi is shorter than Anil, but taller than Kamal. Nalin
is shorter than Kamal, Jayant is tller than Nalin, Anil is
taller than Jayant. Who is tallest?
A>G>K/J>N
 Thus Anil is tallest.

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A weighs twice B, B weighs 4.5 times C, C weights ½
D, D weighs ½ E, E ‘s weight is less than A but more
than C. who is lightest?
Let C = 2
 B = 9, A = 18, D = 4, E = 8,
 Thus C is lightest.

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ABCDE are typical Bikaneris and play cards. At one
point all had equal points. A lost and his points
were shared by all others equally. Now B & C also
lost and their points were shared by others equally.
In the last round D also lost and now E had his
points also. E now had 200 points. How many
points did B have after A’s debacle?
ABCDE all had 40 points each. A lost and
distributed points to BCDE – 10 each. Now
all had 50 points each. B & C lost and now
DE had 100 each. Finally E had 200
points.
 Answer is 50 points.

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By mistake the signs are misplaced,
find out the correct signs:
.5 -4-5*20+2/5*2(3-6)=0

Correct answer (try from options)

.5*4*5-20-2*5/2(3/6)=0 answer.
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Find the missing value?
6
6
8
5
7
5
4
3
?
120
126
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320
Answer :

8 is the answer.
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Find missing value?
5
6
7
3
4
5
9
10
11
345
460 ?
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Answer :

577 answer.
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Find the missing value?
28
60
48
5
6
7
14
39
27
7?
16
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'mechanical engineer,-we want you as our
supervisor." :—An advertisement by company –
which are / is valid assumptions?
I. Mechanical engineers are expected to
be better performers
 'II. The-company needs supervisors.

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Answer:

IInd assumption is valid assumption.
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Even with the increase in the number of sugar
factories in India, we still continue to import sugar.
Which is / are valid assumptions?

I. The consumption of sugar per capita
has increased in India.

II. Many of the factories are not in a
position to produce sugar to their fullest
capacity.
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Answers:
An assumption is the fact which has not
been mentioned in the statement, but it is
assumed to be true – and it is not an
inference, argument or conclusion.
 Thus first statement is an assumption, but
2nd statement cannot be an assumption.

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Be humble even after being
victorious.- says a notice which is
valid assumption?
I. Many people are humble after being
victorious.
 II. Generally people are not humble.

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Answer:

Only 2nd statement is assumption – that is
why the notice says people to be humble
– otherwise there was no need of such a
notice.
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Read the question and answer:
If the statement 'Some teachers are not
learned' is false, which of the following
is false ?
 (a) All teachers are learned. (b) Some
learned beings are teachers.
 (c) Some teachers are learned.
(d) All
learned beings are teachers.
 (e) None of these

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Answer :

None of these
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Which conclusion is valid?
Statements:
 1. All knowledge is good.
 2. All knowledge is difficult.
 Conclusions :
 (1) Some good things are difficult.
 (2) All difficult things are knowledge.
 (3)All good things are difficult.
 (4)Easy things are not knowledge.

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Answer:

Statement no. 1 is valid.
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At what time are the hands of a
clock together between 6 & 7?
30 *60 /55
 =32.727 ans.

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Rajesh went out between 5 & 6 and returned
between 6 & 7. He found that hand of the clock
had exactly changed places. When did rajesh go
out?

27 minutes past 5 pm approx.
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A man is facing south, he turns 135 degree
anticlock wise, then 180 degree clockwise. Which
direction is he facing now?

South west.
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A man is facing north-west. He turns 90 degree
clockwise, then 135 degree anticlockwise. Which
direction is he facing?

West
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A man is facing north west. He turns 90 degree
clockwise, then 180 anticlockwise, then 90 degree
in same direction. Which direction is he facing
now?

South east (answer)
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.333 of a number is .002 of
another. What is the ratio of these
2 numbers?
Let us take the common number to be
300.
 First number .333X = 300
 X = 900
 2nd number .002 Y = 300
 Y = 300/.002 = 150000
 9:1500
 Or 3:500 ans.

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ABOUT AFTERSCHOOOL
Afterschoool conducts three year integrated PGPSE
(after class 12th along with IAS / CA / CS) and 18
month PGPSE (Post Graduate Programme in Social
Entrepreneurship) along with preparation for CS / CFP
/ CFA /CMA / FRM. This course is also available
online also. It also conducts workshops on social
entrepreneurship in schools and colleges all over India –
start social entrepreneurship club in your institution
today with the help from afterschoool and help us in
developing society.
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Why such a programme?
To promote people to take up entrepreneurship
and help develop the society
 To enable people to take up franchising and
other such options to start a business / social
development project
 To enable people to take up social development
as their mission
 To enable people to promote spirituality and
positive thinking in the world
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Who are our supporters?
Afterschoolians, our past beneficiaries,
entrepreneurs and social entrepreneurs
are supporting us.
 You can also support us – not necessarily
by money – but by being promotor of our
concept and our ideas.
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About AFTERSCHOOOL PGPSE – the best
programme for developing great
entrepreneurs
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Most flexible, adaptive but rigorous programme
Available in distance learning mode
Case study focused- latest cases
Industry oriented practical curriculum
Designed to make you entrepreneurs – not just an
employee
Option to take up part time job – so earn while you learn
The only absolutely free course on internet
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Workshops from
AFTERSCHOOOL
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IIF, Delhi
CIPS, Jaipur
ICSI Hyderabad Branch
Gyan Vihar, Jaipur
Apex Institute of Management, Jaipur
Aravali Institute of Management, Jodhpur
Xavier Institute of Management, Bhubaneshwar
Pacific Institute, Udaipur
Engineering College, Hyderabad
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Flexible Specialisations:
Spiritualising business and society
Rural development and transformation
 HRD and Education, Social Development
 NGO and voluntary work
 Investment analysis,microfinance and inclusion
 Retail sector
 Hospital management and Health care
 Hospitality sector and culture and heritage
 Other sectors of high growth, high technology and social
relevance
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Salient features:
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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
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Components
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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 diary
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Pedagogy
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Case analysis,
Articles from Harvard Business Review
Quiz, seminars, workshops, games,
Visits to entrepreneurs and industrial visits
Presentations, Latest audio-visuals
Group discussions and group projects
Periodic self assessment
Mentoring and counselling
Study exchange programme (with institutions out of
India)
Rural development / Social welfare projects
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Branches
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AFTERSCHOOOL will shortly open its
branches in important cities in India
including Delhi, Kota, Mumbai, Gurgaon
and other important cities.
Afterschooolians will be responsible for
managing and developing these branches
– and for promoting social entrepreneurs.
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Case Studies
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We want to write case studies on social
entrepreneurs, first generation
entrepreneurs, ethical entrepreneurs.
Please help us in this process. Help us to
be in touch with entrepreneurs, so that we
may develop entrepreneurs.
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Basic values at afterschoool
Share to learn more
Interact to develop yourself
 Fear is your worst enemy
 Make mistakes to learn
 Study & discuss in a group
 Criticism is the healthy route to mutual support and help
 Ask fundamental questions : why, when, how & where?
 Embrace change – and compete with yourself only
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social entrepreneurship for better
society
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