Presentation on theme: "MATHS, REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL M:"— Presentation transcript:
1 MATHS, REASONING & DI Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763
2 Let us assume H =3, R =3 Total volume: 1/3*3.1428*9*3 =28.28 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 =3Total volume: 1/3*3.1428*9*3 =28.28Now new cone: 1/3*3.1428*4*2 = 8.38Ratio 8.38: 19.9Or approx. .4: 1 or 1:2.5
3 Which one of the following cannot be ratio of angles in right angle triangle? 1:2:31:1:21:3:6None of theseIn 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.
4 That means, there are 2 rows left in between (out of 4 rows). 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 = 6412/3 will give you 464 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.
5 The radius of a circle is 6 cm 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.
6 BOC is double of BAC BAC is 60 degree BOC is 120 degree. An equilateral triangle ABC is inscribed in a circle with centre O. What is the measure of angle BOC?BOC is double of BACBAC is 60 degreeBOC is 120 degree.
7 Let us assume that the radii of these circles are X & Y. 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 = 130X+Y =14Let us try for 3 & 11, the total is 14 & sum of squares is 121 thus radius of smaller circle is 3 ans.
8 Applying hero’s formulae. S = ½ (13+14+15) = 21 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 ( ) = 21Area of triangle = sq.root (21*8*7*6)=84Radius = Area of triangle / S=84/21 = 4 ans.
9 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 = = square root of 85Length of half the chordis square root of (85-4) = 81 = 9Thus length of chord is 18 Cm ans.
10 Applying pythogores theorem, we are able to get half the tangent 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 halfthe tangent5^2 – 3^2=square root (16)Thus transverse =8Ans.
11 Three equal circles touch each other 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 7We have an equilateral triangleJoining the centres of three circles.Thus side of equilateral triangle is 14Circim centire = 7/3^1/2Radius of bigger circle is 7/Radius are in the ratio 7: 15.08Thus their areas are in the ratio: 49:227 approx.
12 8 6 Find hypoteneuse: 8^2 +6^2 = sqrt (100) = 10 Let us assume radius 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) = 10Let us assume radiusOf circle = X(8-x) + (6-X) = 1014-2x = 102x = 4x = 2 ans.86
13 In a cyclic quadrilateral the opposite angles are always? Supplementary (when we add them, the total will be 180 degree always).
14 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.
15 What is the radius of a circle inscribed an equilateral triangle of side 10? 10 / (2*1.732)=2.88 ans.
16 let us try from options: If we take 10, radius is 5 5^2 – 3^2 = 4^2 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? 5/7/10/12let us try from options:If we take 10, radius is 55^2 – 3^2 = 4^25^2-4^2 = 3^2Thus 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.
17 How many jobs are there in media planning? Total (numbers)1500Media planning13Production27Creative design26Client Servicing22Others12Total (in %)100
19 Total (numbers) 1500 Media planning 13 Production 27 Creative design 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)1500Media planning13Production27Creative design26Client Servicing22Others12Total (in %)100
20 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 = 267 jobs. Ans.
22 (ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175 How much is the average production of rice, compared to average production of sugar?(ml. ton)RiceSugar2000-1501002001-2751252002-31502003-41752004-5
23 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.
25 (ml. ton) Rice Sugar 2000-1 50 100 2001-2 75 125 2002-3 150 2003-4 175 If production of sugar and rice in increases by 10% &12% respectively over their production in , by what % will the combined production of rice and sugar in be higher when compared to previous year?(ml. ton)RiceSugar2000-1501002001-2751252002-31502003-41752004-5
26 AnswerTotal production of rice and sugar was 325 million tonnes in but it will be million tonnes in thus there will be increase of 10.9%
28 What is the average production fo sugar in ml. tonnes? RiceSugar2000-1501002001-2751252002-31502003-41752004-5
29 The table below gives details of value of pearl exports from India to various countries. in $ million20002004US4.256UK0.751.25CHINA1.52germany2.53.25France1.752.25Italy0.5Switzerland
30 Total exports in 2008 is estimated to be $15 million, what is the share to the US. in $ million20002004US4.256UK0.751.25CHINA1.52germany2.53.25France1.752.25Italy0.5Switzerland
31 Answer: With the given information, this question cannot be answered.
32 3456 is coded as ROPE, 15526 is coded as APPLE, how is 54613 coded? POEAR ans.
33 2 = P, 3 = N, 9=Q, 5=R, 4=A, 6=B, What is 599423? RQQAPN ans.
34 A>G>K/J>N Thus Anil is tallest. 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>NThus Anil is tallest.
35 Let C = 2 B = 9, A = 18, D = 4, E = 8, Thus C is lightest. 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 = 2B = 9, A = 18, D = 4, E = 8,Thus C is lightest.
36 ABCDE are typical Bikaneris and play cards 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.
37 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.
43 I. Mechanical engineers are expected to be better performers '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.
45 I. The consumption of sugar per capita has increased in India. 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.
46 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.
47 Be humble even after being victorious 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.
48 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.
49 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
51 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.
53 At what time are the hands of a clock together between 6 & 7? 30 *60 /55= ans.
54 Rajesh went out between 5 & 6 and returned between 6 & 7 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.
55 A man is facing south, he turns 135 degree anticlock wise, then 180 degree clockwise. Which direction is he facing now?South west.
56 A man is facing north-west A man is facing north-west. He turns 90 degree clockwise, then 135 degree anticlockwise. Which direction is he facing?West
57 A man is facing north west 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)
58 333 of a number is. 002 of another .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 = 300X = 9002nd number .002 Y = 300Y = 300/.002 =9:1500Or 3:500 ans.
59 ABOUT AFTERSCHOOOLAfterschoool 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.
60 Why such a programme?To promote people to take up entrepreneurship and help develop the societyTo enable people to take up franchising and other such options to start a business / social development projectTo enable people to take up social development as their missionTo enable people to promote spirituality and positive thinking in the world
61 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.
62 About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs Most flexible, adaptive but rigorous programmeAvailable in distance learning modeCase study focused- latest casesIndustry oriented practical curriculumDesigned to make you entrepreneurs – not just an employeeOption to take up part time job – so earn while you learnThe only absolutely free course on internet
63 Workshops from AFTERSCHOOOL IIF, DelhiCIPS, JaipurICSI Hyderabad BranchGyan Vihar, JaipurApex Institute of Management, JaipurAravali Institute of Management, JodhpurXavier Institute of Management, BhubaneshwarPacific Institute, UdaipurEngineering College, Hyderabad
64 Flexible Specialisations: Spiritualising business and societyRural development and transformationHRD and Education, Social DevelopmentNGO and voluntary workInvestment analysis,microfinance and inclusionRetail sectorHospital management and Health careHospitality sector and culture and heritageOther sectors of high growth, high technology and social relevance
65 Salient features: The only programme of its kind (in the whole world) No publicity and low profile courseFor those who want to achieve success in life – not just a degreeIndepth knowledge and expertiseProfessional approac: World class approachStrong intellectual and business capabilitiesFlexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classesScholarships for those from poor economic backgroundLatest and constantly changing curriculum – keeping pace with the timePlacement for those who are interested
66 ComponentsPedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)Meditation, spiritualisation, and self developmentEssential softwares for businessBusiness plan, Research projectsParticipation in conferences / seminarsWorkshops on leadership, team building etc.Written submissions of research projects/articles / papersInterview of entrepreneurs, writing biographies of entrepreneursEditing of journals / newslettersConsultancy / research projectsAssignments, communication skill workshopsParticipation in conferences and seminarsGroup discussions, mock interviews, self development diary
67 Pedagogy Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games,Visits to entrepreneurs and industrial visitsPresentations, Latest audio-visualsGroup discussions and group projectsPeriodic self assessmentMentoring and counsellingStudy exchange programme (with institutions out of India)Rural development / Social welfare projects
68 BranchesAFTERSCHOOOL 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.
69 Case StudiesWe 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.
70 Basic values at afterschoool Share to learn moreInteract to develop yourselfFear is your worst enemyMake mistakes to learnStudy & discuss in a groupCriticism is the healthy route to mutual support and helpAsk fundamental questions : why, when, how & where?Embrace change – and compete with yourself only
71 www.afterschoool.tk social entrepreneurship for better society