30 May Data Interpretation Ii
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DI DI & & MENTAL MENTAL ABILITY ABILITY Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
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An aeroplane flies from city X to Y @ 500 km. per hour, and returns back from Y to X @ 700 km per hour. What is the average speed of the aeroplane? • Step 1. take harmonic mean of these two figures: 500 & 700. • Step 2: add: 1/500 +1/700 • = 1200 / 350000 • Step 3: multiply ½ by 1200/350000 • = 6/3500 • Reverse it: 3500/ 6 = 583 approx. ans.
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Following chart shows no. of students appeared in CAT = total no of students were 104477. 64000 students were able to get admission on the basis of the test. Out of these students 25% were repeaters and remaining were freshers. What % of repeaters were able to take admission?
Repeaters freshers
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Answer: • By observation, it is clear that the angle of pie chart for repeaters is about 75-80. No. of repeaters must be close to (78/360*104477) = 22000 approx. out of 64000, 16000 are repeaters. This is (16/22*100) is 72% Ans. (approx.). www.afterschoool.tk
Data sufficiency: Is A a male or female? 1. A has equal number of brother and sisters 2 One of the sibling of A (of opposite sex) has equal number of brothers and sisters.
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Answer: • Cant be determined .
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How many days do 4 men and 6 children take to complete a work? • 6 men and 16 women complete the work in 12 days • 24 women and 8 children complete the work in 8 days.
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Anwer: • Cannot be determined with the given information.
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Data sufficiency: what is relation between X and Y? • X is a doctor, and Y is one of the parents of X. • Y has two children – one son and one daughter.
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Answer : • Cannot be determined.
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These are the data regarding admission in a college Arts Scienc Comm Total e erce Boys 100 700 Girls Total
500 300
600 www.afterschoool.tk
1200
What is the number of boys taking commerce, if it is given that the ratio of boys in arts and commerce is 1:2?
• There are total 600 students in arts and commerce. So in commerce, we have 400 students (2/3 *600).
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What is the median among the following: 2,77, 43,12,108,32,90? • Step 1: put them in ascending order. • Step 2: find forth number (7+1 / 2 = 4). • Ans : 43.
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What is the average speed of a rider, who rides four equal distances at the speed of 20,30,40,50 respectively?
• Step 1: calculate harmonic average of these • Step 2: 1/20 +1/30 +1/40+1/50 = 77/600 • Step 3: multiply it by ¼ : 77 / 2400 • Step 4: reverse it: 31.16 Ans.
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These are energy transmission costs from one city to another. We want to minimise transmission costs. We shall transmit energy only between cities with costs less than 400. how many options do we have? A
B
A
C 200
D
E
F
250
260
400
700
400
700
450
900
600
800
B
200
C
300
357
D
430
456
456
E
800
567
578
500
F
1200
789
600
500
457
www.afterschoool.tk
380 400
Answer: • We have only 7 options.
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In the last exercise, we want to transmit energy to E – which are the best 4 options in order? • The hierarchy is (least cost first) : A,F (equal), B,C. ans. • A and F have costs of 400 only. • B has cost of 450 and c has cost of 600. So order is AFBC Ans.
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There are 3 robbers. A farmer gives 1/3 of his gold coins and 4 goats to first. He gives 1/3rd of remaining goats and 4 gold coins to II. To the III he gives 1/3rd of remaining gold coins and 4 goats. Now he has equal no. of gold coins and goats. He had total 46 goats and gold coins in the beginning. One goat is equal to 3 gold coin. What was his initial wealth? • • • • • • •
Gold coin = x. Goats = 46-x; First step: 2/3x ; 46-x-4 (left out after I robber) (2/3x-4)2/3 = (((46-x)-4)*2/3)-4) 4/9x-8/3=(28-2/3x)-4 10/9x = 24 +8/3 = = 10/9x =80/3 X=80/3 *9/10 =24 Goats = 22 Value = 66 Total wealth: 66+24 = 90 Ans. www.afterschoool.tk
A computer programme has following algorithm: Step 1: x=2, y=1; Step 2:x=x^2 Step 3:y=y^2 +x+1; Step 4:if y>=50 stop else go to step 2. what is the value of Y at the end.
• In first iteration, x=4,y=6; in II we get x=16, Y= 36+16+1 = 53 • Therefore answer is 53 ans.
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1000 liters of milk is traded by traders. Ist trader removes 50 liters and add that much water. II & III also does the same. What is the level of pure milk left now?
• By alligation formulae: • 1000(1 – 50/1000)^3 = 1000*.95*.95*.95 = 857.4 lit. approx.
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If AM = 55.6, Median is 52.4, What is mode? • Formulae : mode = 3 median – 2 AM • = 3*52.4 – 2*55.6 • = 157.2- 111.2= 46 ans.
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What is median of the following: 12,14,16,18 ? • Median = N+1 /2 • = 4+1 / 2 = 2.5 • Average of 14 & 16 is 15 Ans.
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Our exports and import of X were equal. In the next 5 years, exports grew @ 10% every year. In the same period Imports grew @2,4,10,15,20 % respectively. At the end of 5 years, which were more – exports or imports?
• • • • •
Let is assume exports & imports as 100. After 5 years, exports will be: 100*1.1*1.1*1.1*1.1*1.1=161.05 Imports will be: 100*1.02*1.04*1.10*1.15*1.20=161.02 (both are almost equal; exports are slightly more). www.afterschoool.tk
Thanks Afterschoool conducts three year integrated PGPSE (after class 12 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.
www.afterschoool.tk
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 • • • • •
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 Engineering College, Hyderabad
www.afterschoool.tk
Specialisations: • • • • • • • •
Spiritualising business and society Rural development and transformation HRD and Education NGO and voluntary work Investment analysis Retail sector Hospital management and Health care Hospitality sector and culture and heritage
www.afterschoool.tk
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who wants to achieve success in life – not just a degree • Indepth knowledge and expertise • Professional approach • Strong intellectual and business capabilities • World class approach • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time
www.afterschoool.tk
Components • • • • • • • • • •
Business plan Essential softwares for business Research projects Participation in conferences / seminars Workshops Written submissions of research projects/articles / papers Interview of entrepreneurs Editing of journals / newsletters Consultancy / research projects Assignments
www.afterschoool.tk
Pedagogy • • • • • • •
Case analysis Quiz Visits to entrepreneurs and industrial visits Presentations Group discussions and group projects Periodic self assessment Mentoring and counselling
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
www.afterschoool.tk
An aeroplane flies from city X to Y @ 500 km. per hour, and returns back from Y to X @ 700 km per hour. What is the average speed of the aeroplane? • Step 1. take harmonic mean of these two figures: 500 & 700. • Step 2: add: 1/500 +1/700 • = 1200 / 350000 • Step 3: multiply ½ by 1200/350000 • = 6/3500 • Reverse it: 3500/ 6 = 583 approx. ans.
www.afterschoool.tk
Following chart shows no. of students appeared in CAT = total no of students were 104477. 64000 students were able to get admission on the basis of the test. Out of these students 25% were repeaters and remaining were freshers. What % of repeaters were able to take admission?
Repeaters freshers
www.afterschoool.tk
Answer: • By observation, it is clear that the angle of pie chart for repeaters is about 75-80. No. of repeaters must be close to (78/360*104477) = 22000 approx. out of 64000, 16000 are repeaters. This is (16/22*100) is 72% Ans. (approx.). www.afterschoool.tk
Data sufficiency: Is A a male or female? 1. A has equal number of brother and sisters 2 One of the sibling of A (of opposite sex) has equal number of brothers and sisters.
www.afterschoool.tk
Answer: • Cant be determined .
www.afterschoool.tk
How many days do 4 men and 6 children take to complete a work? • 6 men and 16 women complete the work in 12 days • 24 women and 8 children complete the work in 8 days.
www.afterschoool.tk
Anwer: • Cannot be determined with the given information.
www.afterschoool.tk
Data sufficiency: what is relation between X and Y? • X is a doctor, and Y is one of the parents of X. • Y has two children – one son and one daughter.
www.afterschoool.tk
Answer : • Cannot be determined.
www.afterschoool.tk
These are the data regarding admission in a college Arts Scienc Comm Total e erce Boys 100 700 Girls Total
500 300
600 www.afterschoool.tk
1200
What is the number of boys taking commerce, if it is given that the ratio of boys in arts and commerce is 1:2?
• There are total 600 students in arts and commerce. So in commerce, we have 400 students (2/3 *600).
www.afterschoool.tk
What is the median among the following: 2,77, 43,12,108,32,90? • Step 1: put them in ascending order. • Step 2: find forth number (7+1 / 2 = 4). • Ans : 43.
www.afterschoool.tk
What is the average speed of a rider, who rides four equal distances at the speed of 20,30,40,50 respectively?
• Step 1: calculate harmonic average of these • Step 2: 1/20 +1/30 +1/40+1/50 = 77/600 • Step 3: multiply it by ¼ : 77 / 2400 • Step 4: reverse it: 31.16 Ans.
www.afterschoool.tk
These are energy transmission costs from one city to another. We want to minimise transmission costs. We shall transmit energy only between cities with costs less than 400. how many options do we have? A
B
A
C 200
D
E
F
250
260
400
700
400
700
450
900
600
800
B
200
C
300
357
D
430
456
456
E
800
567
578
500
F
1200
789
600
500
457
www.afterschoool.tk
380 400
Answer: • We have only 7 options.
www.afterschoool.tk
In the last exercise, we want to transmit energy to E – which are the best 4 options in order? • The hierarchy is (least cost first) : A,F (equal), B,C. ans. • A and F have costs of 400 only. • B has cost of 450 and c has cost of 600. So order is AFBC Ans.
www.afterschoool.tk
There are 3 robbers. A farmer gives 1/3 of his gold coins and 4 goats to first. He gives 1/3rd of remaining goats and 4 gold coins to II. To the III he gives 1/3rd of remaining gold coins and 4 goats. Now he has equal no. of gold coins and goats. He had total 46 goats and gold coins in the beginning. One goat is equal to 3 gold coin. What was his initial wealth? • • • • • • •
Gold coin = x. Goats = 46-x; First step: 2/3x ; 46-x-4 (left out after I robber) (2/3x-4)2/3 = (((46-x)-4)*2/3)-4) 4/9x-8/3=(28-2/3x)-4 10/9x = 24 +8/3 = = 10/9x =80/3 X=80/3 *9/10 =24 Goats = 22 Value = 66 Total wealth: 66+24 = 90 Ans. www.afterschoool.tk
A computer programme has following algorithm: Step 1: x=2, y=1; Step 2:x=x^2 Step 3:y=y^2 +x+1; Step 4:if y>=50 stop else go to step 2. what is the value of Y at the end.
• In first iteration, x=4,y=6; in II we get x=16, Y= 36+16+1 = 53 • Therefore answer is 53 ans.
www.afterschoool.tk
1000 liters of milk is traded by traders. Ist trader removes 50 liters and add that much water. II & III also does the same. What is the level of pure milk left now?
• By alligation formulae: • 1000(1 – 50/1000)^3 = 1000*.95*.95*.95 = 857.4 lit. approx.
www.afterschoool.tk
If AM = 55.6, Median is 52.4, What is mode? • Formulae : mode = 3 median – 2 AM • = 3*52.4 – 2*55.6 • = 157.2- 111.2= 46 ans.
www.afterschoool.tk
What is median of the following: 12,14,16,18 ? • Median = N+1 /2 • = 4+1 / 2 = 2.5 • Average of 14 & 16 is 15 Ans.
www.afterschoool.tk
Our exports and import of X were equal. In the next 5 years, exports grew @ 10% every year. In the same period Imports grew @2,4,10,15,20 % respectively. At the end of 5 years, which were more – exports or imports?
• • • • •
Let is assume exports & imports as 100. After 5 years, exports will be: 100*1.1*1.1*1.1*1.1*1.1=161.05 Imports will be: 100*1.02*1.04*1.10*1.15*1.20=161.02 (both are almost equal; exports are slightly more). www.afterschoool.tk
Thanks Afterschoool conducts three year integrated PGPSE (after class 12 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.
www.afterschoool.tk
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 • • • • •
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 Engineering College, Hyderabad
www.afterschoool.tk
Specialisations: • • • • • • • •
Spiritualising business and society Rural development and transformation HRD and Education NGO and voluntary work Investment analysis Retail sector Hospital management and Health care Hospitality sector and culture and heritage
www.afterschoool.tk
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who wants to achieve success in life – not just a degree • Indepth knowledge and expertise • Professional approach • Strong intellectual and business capabilities • World class approach • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time
www.afterschoool.tk
Components • • • • • • • • • •
Business plan Essential softwares for business Research projects Participation in conferences / seminars Workshops Written submissions of research projects/articles / papers Interview of entrepreneurs Editing of journals / newsletters Consultancy / research projects Assignments
www.afterschoool.tk
Pedagogy • • • • • • •
Case analysis Quiz Visits to entrepreneurs and industrial visits Presentations Group discussions and group projects Periodic self assessment Mentoring and counselling
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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