30 May Reasoning
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reasoning Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
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WHAT IS THE 10TH TERM IN THE SERIES .. 357,363,369…
• IT IS AN AP • Basic formulae is : Tn = a+(n-1)d • A=first term, d=difference between 2 terms. • 357+(10-1)6 • =357+54 • =411 Ans. www.afterschoool.tk
How many terms are there in the series: 201,208,215 … to 369? • • • • •
It is also AP (arithmetic progression) 201+(n-1)*7 = 369 7n – 7 = 369-201 7n=168+7 =175 N=175/7 = 25 ans.
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What will be the 10th term in the series: 7,14,28 ..? Is it 70 No –sorry It is a geometric progression. = A*R^(n-1) A = first term, R = ratio of second term from first = 14/7 = 2 • =7 * 2 ^(9) • =7*512 = 3584 Ans. • • • • •
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What will come next in the series: ½ ¾ 5/8 7/16 ? • The numerator is in AP • The denominator is in GP. • The answer is : 9 / 32 ans.
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What will come next in the series: 0,4,18,48,100 .. • • • • • • •
It is the difference of cube and square. 1^3 – 1^2 = 0 2^3 – 2^2 = 4 3^3 – 3^2 = 18 4^3 – 4^2 = 48 5^3 – 5^2 = 100 Difference of 216-36 = 180 ans. www.afterschoool.tk
What is x: 8,9,8,7,10,9,6,11,10,x,12? • • • • •
There are three series: Ist series: 8,7,6,.. IInd series: 9,10,11 .. IIIrd series: 8,9,10 .. Thus the answer is 5 (as per first series).
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Which term of the series 5,8,11,14, .. Is 320 ? • • • • •
This is AP 5+(n-1)3 = 320 3n-3 = 315 3n = 318 N = 106 Ans.
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What will come next: 165,195,255,285,345 ..? • First no. is 15*11, second is 15*13, so on. Each number is multiplied by a prime number with 15 (in series). • The prime number series is : 11,13,17,19,23,29 so on. • Last number is 15*23. next prime number is 29. • 15*29 = 435 Ans.
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What will come next in series: 66,36,18 ? • Each number is product of digits of the preceding numbers. • 6*6 =36 • 3*6 = 18 • 1*8 = 8 Ans.
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What will come next : 4,10,28,82,244,730? • Each number is on the line increasing power of 3 +1 • Alternatively, we can calculate these number by multiplying by 3 and reducing 2 from that. • 730*3 = 2190-2=2188 ans.
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What will come next: 3,6,5,20,7,42,9,72 ? There are two series: 3,5,7,9,11 so on II series is: 6,20,42,72 (increasing 14 – next + 8 in row) • Another logic is to multiply the first digit by 2,4,6,8,10 – in the series – and first digit is increasing by 2. • Thus next item is 11 Ans. • • • •
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What will come next: 4,5,9,18,34,59 ..? • We are adding 1,4,9,16,25,36,49 .. In a row (these are squares of numbers in a row ) • 1 is square of 1,4 is square of 2, and so on. • Next number will be: 59+36 = 95 Ans.
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What will come next: 1,2,3,6,9,18,27,54? • Once we are multiplying by 2 and next we are multiplying by 1.5. In this way we get 54 by multiplying by 2. thus now we multiplying 1.5 * 54 we get: 81 Ans.
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What will come next: 19,2,38,3,114,4,456,5? • 2280 ans
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What will come next: 3,7,15,31,63,127? • Here we are multiplying each number by 2 and adding 1 in that. • 3*2+1 = 7 • 7*2+1 = 15 • So on. • 255 Ans.
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Among 5 persons, V is taller than M, but not as tall as R. J is taller than D, but shorter than M. Who is tallest?
• • • •
From Ist line: r>v>M From II line: M>J>D Combining these, we get R as tallest. Ans.
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We have 4 numbers, when we add or subtract them, we get results from 1 to 40 (all numbers). We take or or more numbers. Which are these numbers: options are : I 1,5,15,20 II 1,3,9,27 III: 2,8,18, 20
• By hit and trial • 1,3,9,27 will give you any number between 1 to 40 ans.
www.afterschoool.tk
Delhi and Kolkata both have population of 1 crore in 2000. Delhi has a growth of 5% next year and decline of 2% in next year and so on. Kolkata had a consistent growth of 2%. Which city will have more population at the end of 2004 and by what %?
• Population of Kolkata will be 1.082 crore but that of Delhi will be 1.058 crore. Thus population of Kolkata will be more than Delhi by 2% approx. at the end of 2004. www.afterschoool.tk
Afterschooolian Rahul can solve 50 question of maths or 40 questions of English in one hour. He gets 60 minutes. He spends 20% time reading the paper.. He attempted 20 English questions. How many questions did he attempt of maths in remaining time? • Total time left: 60-12 = 48 • Time taken for one english question: 60/40 = 1.5 ; total time for english: 20*1.5 = 30. Time left : 18. time requried for one question of maths: 60/50 = 1.2 so number of question: 18/1.2 = 15 Ans. www.afterschoool.tk
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
WHAT IS THE 10TH TERM IN THE SERIES .. 357,363,369…
• IT IS AN AP • Basic formulae is : Tn = a+(n-1)d • A=first term, d=difference between 2 terms. • 357+(10-1)6 • =357+54 • =411 Ans. www.afterschoool.tk
How many terms are there in the series: 201,208,215 … to 369? • • • • •
It is also AP (arithmetic progression) 201+(n-1)*7 = 369 7n – 7 = 369-201 7n=168+7 =175 N=175/7 = 25 ans.
www.afterschoool.tk
What will be the 10th term in the series: 7,14,28 ..? Is it 70 No –sorry It is a geometric progression. = A*R^(n-1) A = first term, R = ratio of second term from first = 14/7 = 2 • =7 * 2 ^(9) • =7*512 = 3584 Ans. • • • • •
www.afterschoool.tk
What will come next in the series: ½ ¾ 5/8 7/16 ? • The numerator is in AP • The denominator is in GP. • The answer is : 9 / 32 ans.
www.afterschoool.tk
What will come next in the series: 0,4,18,48,100 .. • • • • • • •
It is the difference of cube and square. 1^3 – 1^2 = 0 2^3 – 2^2 = 4 3^3 – 3^2 = 18 4^3 – 4^2 = 48 5^3 – 5^2 = 100 Difference of 216-36 = 180 ans. www.afterschoool.tk
What is x: 8,9,8,7,10,9,6,11,10,x,12? • • • • •
There are three series: Ist series: 8,7,6,.. IInd series: 9,10,11 .. IIIrd series: 8,9,10 .. Thus the answer is 5 (as per first series).
www.afterschoool.tk
Which term of the series 5,8,11,14, .. Is 320 ? • • • • •
This is AP 5+(n-1)3 = 320 3n-3 = 315 3n = 318 N = 106 Ans.
www.afterschoool.tk
What will come next: 165,195,255,285,345 ..? • First no. is 15*11, second is 15*13, so on. Each number is multiplied by a prime number with 15 (in series). • The prime number series is : 11,13,17,19,23,29 so on. • Last number is 15*23. next prime number is 29. • 15*29 = 435 Ans.
www.afterschoool.tk
What will come next in series: 66,36,18 ? • Each number is product of digits of the preceding numbers. • 6*6 =36 • 3*6 = 18 • 1*8 = 8 Ans.
www.afterschoool.tk
What will come next : 4,10,28,82,244,730? • Each number is on the line increasing power of 3 +1 • Alternatively, we can calculate these number by multiplying by 3 and reducing 2 from that. • 730*3 = 2190-2=2188 ans.
www.afterschoool.tk
What will come next: 3,6,5,20,7,42,9,72 ? There are two series: 3,5,7,9,11 so on II series is: 6,20,42,72 (increasing 14 – next + 8 in row) • Another logic is to multiply the first digit by 2,4,6,8,10 – in the series – and first digit is increasing by 2. • Thus next item is 11 Ans. • • • •
www.afterschoool.tk
What will come next: 4,5,9,18,34,59 ..? • We are adding 1,4,9,16,25,36,49 .. In a row (these are squares of numbers in a row ) • 1 is square of 1,4 is square of 2, and so on. • Next number will be: 59+36 = 95 Ans.
www.afterschoool.tk
What will come next: 1,2,3,6,9,18,27,54? • Once we are multiplying by 2 and next we are multiplying by 1.5. In this way we get 54 by multiplying by 2. thus now we multiplying 1.5 * 54 we get: 81 Ans.
www.afterschoool.tk
What will come next: 19,2,38,3,114,4,456,5? • 2280 ans
www.afterschoool.tk
What will come next: 3,7,15,31,63,127? • Here we are multiplying each number by 2 and adding 1 in that. • 3*2+1 = 7 • 7*2+1 = 15 • So on. • 255 Ans.
www.afterschoool.tk
Among 5 persons, V is taller than M, but not as tall as R. J is taller than D, but shorter than M. Who is tallest?
• • • •
From Ist line: r>v>M From II line: M>J>D Combining these, we get R as tallest. Ans.
www.afterschoool.tk
We have 4 numbers, when we add or subtract them, we get results from 1 to 40 (all numbers). We take or or more numbers. Which are these numbers: options are : I 1,5,15,20 II 1,3,9,27 III: 2,8,18, 20
• By hit and trial • 1,3,9,27 will give you any number between 1 to 40 ans.
www.afterschoool.tk
Delhi and Kolkata both have population of 1 crore in 2000. Delhi has a growth of 5% next year and decline of 2% in next year and so on. Kolkata had a consistent growth of 2%. Which city will have more population at the end of 2004 and by what %?
• Population of Kolkata will be 1.082 crore but that of Delhi will be 1.058 crore. Thus population of Kolkata will be more than Delhi by 2% approx. at the end of 2004. www.afterschoool.tk
Afterschooolian Rahul can solve 50 question of maths or 40 questions of English in one hour. He gets 60 minutes. He spends 20% time reading the paper.. He attempted 20 English questions. How many questions did he attempt of maths in remaining time? • Total time left: 60-12 = 48 • Time taken for one english question: 60/40 = 1.5 ; total time for english: 20*1.5 = 30. Time left : 18. time requried for one question of maths: 60/50 = 1.2 so number of question: 18/1.2 = 15 Ans. www.afterschoool.tk
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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