Re: [AI] help me in understanding the method for solving such type of mathematical problems
Thank you all. On 6/24/13, Kartik Sawhney sawhney.kar...@gmail.com wrote: Hi, Rather than trying to understand the terminology, one can simply understand the implication and complete the problem easily. For instance, it isn't vital to understand the word `union`, and simply understanding what it implies (eitherorboth) is sufficient. So basically, one can adopt an approach similar to the one in set theory, without delving into its details as such. This way, the problems can be approached a lot more efficiently in my view. Best, On 6/24/13, Vedprakash vedprakash.sha...@gmail.com wrote: Yes, the set theory is easy but most of us have gone through mathes up to tenth level. That is why, the terms like a union b, or complementary etc., are new to such aspirants. - Original Message - From: Kartik Sawhney sawhney.kar...@gmail.com To: accessindia@accessindia.org.in Sent: Monday, June 24, 2013 11:09 AM Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and not 100. The compound interest method suggested by Mr. Vedprakash fits in best for such problems, it's shorter than the above method. I mentioned the above method to explain how it works. Hope this is clear... Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Vedprakash Sent: Sunday, June 23, 2013 11:25 AM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In
Re: [AI] help me in understanding the method for solving such type of mathematical problems
@Mr. Sawhney: I wrote the earlier email to provide a method of solving the problem at hand, not to spoon feed with exact numbers. If I write 15000 instead of 15, it should not be so difficult to find out the solution. Secondly, look at the below calculations to understand how the method of multiplying the given number (15) twice to get the population 2 years ago is incorrect. Method 1 - Suggested by Mr. Kanchwala: Current Population (given) = 1,50,000 Population 2 years back = 1,36,054 (calculated as 1,50,000 / 1.1025) Population 1 year back = 1,42,857 (calculated as 1,36,054 * 1.05) Current Population = 1,50,000 (calculated as 1,42,857 * 1.05) Method 2 - Suggested by Mr. Sharma: Current Population (given) = 1,50,000 Population 2 years back = 1,35,375 (calculated as 1,50,000 * 0.95 * 0.95) Population 1 year back = 1,42,144 (calculated as 1,35,375 * 1.05) Current Population = 1,49,251 (calculated as 1,42,144 * 1.05) Taking the calculated population 2 years back using the two methods, one should be able to get the current population as given in the problem. This does not happen in case of method 2 because 5% of 95 is not 5, it's 4.75. Population 2 years back would be calculated as 0.9025x (0.95 * 0.95). Population 1 year back would be 0.9025x + 0.045125x = 0.947625x and current population would be 0.947625x + 0.04738125x = 0.99500625x whereas it should be x. The logic is simple - If you want to add 5% then multiply by 1.05 and if you want to subtract 5% then divide by 1.05. Note that I am rounding off the numbers as population cannot be expressed as a decimal number, Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Mohib Anwar Rafel Sent: Monday, June 24, 2013 10:21 PM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Thank you all. On 6/24/13, Kartik Sawhney sawhney.kar...@gmail.com wrote: Hi, Rather than trying to understand the terminology, one can simply understand the implication and complete the problem easily. For instance, it isn't vital to understand the word `union`, and simply understanding what it implies (eitherorboth) is sufficient. So basically, one can adopt an approach similar to the one in set theory, without delving into its details as such. This way, the problems can be approached a lot more efficiently in my view. Best, On 6/24/13, Vedprakash vedprakash.sha...@gmail.com wrote: Yes, the set theory is easy but most of us have gone through mathes up to tenth level. That is why, the terms like a union b, or complementary etc., are new to such aspirants. - Original Message - From: Kartik Sawhney sawhney.kar...@gmail.com To: accessindia@accessindia.org.in Sent: Monday, June 24, 2013 11:09 AM Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Hi, First of all, sorry moderator. This will be the last E-mail from me on this thread. @Mr. Kanchwala I realise there is no benefit that anyone may gain by mugging up the values. I commented on your final answer to ensure that there is no confusion or ambiguity. I just revisited the solution as posted by Mr. Sharma, and now realised the error. Sorry about that. Your method, is in fact, correct, and the answer comes to 136054.4 (rounded off to 136054). The compound interest formula is another alternative. One may approach this problem using any method with which one is comfortable. Best, On 6/25/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: @Mr. Sawhney: I wrote the earlier email to provide a method of solving the problem at hand, not to spoon feed with exact numbers. If I write 15000 instead of 15, it should not be so difficult to find out the solution. Secondly, look at the below calculations to understand how the method of multiplying the given number (15) twice to get the population 2 years ago is incorrect. Method 1 - Suggested by Mr. Kanchwala: Current Population (given) = 1,50,000 Population 2 years back = 1,36,054 (calculated as 1,50,000 / 1.1025) Population 1 year back = 1,42,857 (calculated as 1,36,054 * 1.05) Current Population = 1,50,000 (calculated as 1,42,857 * 1.05) Method 2 - Suggested by Mr. Sharma: Current Population (given) = 1,50,000 Population 2 years back = 1,35,375 (calculated as 1,50,000 * 0.95 * 0.95) Population 1 year back = 1,42,144 (calculated as 1,35,375 * 1.05) Current Population = 1,49,251 (calculated as 1,42,144 * 1.05) Taking the calculated population 2 years back using the two methods, one should be able to get the current population as given in the problem. This does not happen in case of method 2 because 5% of 95 is not 5, it's 4.75. Population 2 years back would be calculated as 0.9025x (0.95 * 0.95). Population 1 year back would be 0.9025x + 0.045125x = 0.947625x and current population would be 0.947625x + 0.04738125x = 0.99500625x whereas it should be x. The logic is simple - If you want to add 5% then multiply by 1.05 and if you want to subtract 5% then divide by 1.05. Note that I am rounding off the numbers as population cannot be expressed as a decimal number, Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Mohib Anwar Rafel Sent: Monday, June 24, 2013 10:21 PM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Thank you all. On 6/24/13, Kartik Sawhney sawhney.kar...@gmail.com wrote: Hi, Rather than trying to understand the terminology, one can simply understand the implication and complete the problem easily. For instance, it isn't vital to understand the word `union`, and simply understanding what it implies (eitherorboth) is sufficient. So basically, one can adopt an approach similar to the one in set theory, without delving into its details as such. This way, the problems can be approached a lot more efficiently in my view. Best, On 6/24/13, Vedprakash vedprakash.sha...@gmail.com wrote: Yes, the set theory is easy but most of us have gone through mathes up to tenth level. That is why, the terms like a union b, or complementary etc., are new to such aspirants. - Original Message - From: Kartik Sawhney sawhney.kar...@gmail.com To: accessindia@accessindia.org.in Sent: Monday, June 24, 2013 11:09 AM Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and not 100. The compound interest method suggested by Mr. Vedprakash fits in best for such problems, it's shorter than the above method. I mentioned the above method to explain how it works. Hope this is clear... Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Vedprakash Sent: Sunday, June 23, 2013 11:25 AM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_acc essindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org .in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessind ia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on:
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and not 100. The compound interest method suggested by Mr. Vedprakash fits in best for such problems, it's shorter than the above method. I mentioned the above method to explain how it works. Hope this is clear... Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Vedprakash Sent: Sunday, June 23, 2013 11:25 AM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_acc essindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org .in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Yes, the set theory is easy but most of us have gone through mathes up to tenth level. That is why, the terms like a union b, or complementary etc., are new to such aspirants. - Original Message - From: Kartik Sawhney sawhney.kar...@gmail.com To: accessindia@accessindia.org.in Sent: Monday, June 24, 2013 11:09 AM Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and not 100. The compound interest method suggested by Mr. Vedprakash fits in best for such problems, it's shorter than the above method. I mentioned the above method to explain how it works. Hope this is clear... Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Vedprakash Sent: Sunday, June 23, 2013 11:25 AM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_acc essindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Hi, Rather than trying to understand the terminology, one can simply understand the implication and complete the problem easily. For instance, it isn't vital to understand the word `union`, and simply understanding what it implies (eitherorboth) is sufficient. So basically, one can adopt an approach similar to the one in set theory, without delving into its details as such. This way, the problems can be approached a lot more efficiently in my view. Best, On 6/24/13, Vedprakash vedprakash.sha...@gmail.com wrote: Yes, the set theory is easy but most of us have gone through mathes up to tenth level. That is why, the terms like a union b, or complementary etc., are new to such aspirants. - Original Message - From: Kartik Sawhney sawhney.kar...@gmail.com To: accessindia@accessindia.org.in Sent: Monday, June 24, 2013 11:09 AM Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Hi, The solution as suggested by Mr. Sharma to 1B, is in fact, correct. Accidently, Mr. Kanchwala has taken 15 as 15000, resulting in the anomaly. Further, the solution to the second question as suggested is very complecated. An easy way of approaching this is by employing set theory. Let h be the set of students who failed in Hindi, and E be the set of students who failed in English Let the total No. of students in the class=100 Now, we have: No. of elements in H=35 No. of elements in E=45 Further, No. of elements in E intersection H=20 Further, we know: E u H=No. of elements in e+No. of elements in H-No. of elements in e intersection h Where u is union (You can learn this formula for this type of problems, it will prove handy) Therefore, in this case: e u h=35+45-20=60 Now, 60 students failed in either English or Hindi or both. Therefore, students who did not fail in either of the subjects (rather who passed in both the subjects)=100-60=40 Best, On 6/23/13, Zujar Shabbir Kanchwala zujarbri...@gmail.com wrote: Pardon me for addressing this post to the list. I see that the solution suggested for question # 1b by Mr. S P Sharma isn't correct and it needs be known to fellow list members so that they can correct themselves. If one multiplies 15000 by 95% twice to get the population 2 years back then the answer is 135375. This answer is incorrect, the correct answer is 13605. Here's the explanation: Let x be the population 2 years back. 1 year back the population would be: x + 0.05x =1.05x Current year the population would be: 1.05x + (0.05 * 1.05)x =1.05x + 0.0525x =1.1025x Given that current year the population is 15000. So, 1.1025x = 15000 Therefore, x = 15000 / 1.1025 =13605.44 rounded off to 13605. Note that 5% of 100 is 5 but 5% of 95 is 4.75 not 5. So, if the population 1 year back is 95 then current year it would be 95+4.75=99.75 and not 100. The compound interest method suggested by Mr. Vedprakash fits in best for such problems, it's shorter than the above method. I mentioned the above method to explain how it works. Hope this is clear... Best Regards, Zujar. An optimist laughs to forget and a pessimist forgets to laugh! -Original Message- From: AccessIndia [mailto:accessindia-boun...@accessindia.org.in] On Behalf Of Vedprakash Sent: Sunday, June 23, 2013 11:25 AM To: accessindia@accessindia.org.in Subject: Re: [AI] help me in understanding the method for solving such type of mathematical problems Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20%
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Hi, i'm of the opinion that there can not be a single formula to solve such problems. you can solve the first question as mentioned below: (a) population after two years : (15 * 105%) 105% = 165375. (b) population before two years : (15 * 95%) 95% = 135375. in simple words in situation (a) multiply the given figure twice with 105% and in situation (b) multiply twice with 95%. 2. according to the problem: (a) students failed in both subjects = 20%, (b) students failed in english only = 45 - 20 = 25%, (c) students failed in Hindi = 35 - 20 = 15%. (d) total students failed = 20 + 25 + 15 = 60%, so passsed students = 100 - 60 = 40%. for more queries you can contact me of the list. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 11:04 AM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list..
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Hi Mohib, As you might be knowing, I had prepared for cat 2012. This exam has very vast syllabus when it comes to mathematics. And I am also a person with almost 0 vision. I hired a volunteer who used to read out each and every question and when ever required it's solution for me I used to pay special attention towards those illustration which are given in the starting of the chaptor. these illustrations provide an overview of whole chaptor. If you can understand those then, generally a chaptor doesn't remain that much difficult. if you are planning to depend on jaws to complete your syllabus then, I am sorry to say but it is very very difficult. So hire a volunteer and utilize your time more efficiently. Feel free to call me any time. I am always available for help. HTH On 6/22/13, S P Sharma spsharma.gc...@gmail.com wrote: Hi, i'm of the opinion that there can not be a single formula to solve such problems. you can solve the first question as mentioned below: (a) population after two years : (15 * 105%) 105% = 165375. (b) population before two years : (15 * 95%) 95% = 135375. in simple words in situation (a) multiply the given figure twice with 105% and in situation (b) multiply twice with 95%. 2. according to the problem: (a) students failed in both subjects = 20%, (b) students failed in english only = 45 - 20 = 25%, (c) students failed in Hindi = 35 - 20 = 15%. (d) total students failed = 20 + 25 + 15 = 60%, so passsed students = 100 - 60 = 40%. for more queries you can contact me of the list. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 11:04 AM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. -- Ajay Minocha Mob : +91-7827188455 E mail : ajayminoc...@gmail.com ajayminocha2...@rediffmail.com Skype: ajayminocha2 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents
Re: [AI] help me in understanding the method for solving such type of mathematical problems
If you know the formula for the compound interest, take the present population as the principal and solve it. I am writing the formula for the same. Principal * (1+ rate /100) ^N times Putting this formula and substituting the numbers: 1,50,000 (105/100) ^2 = 165375. This is the answer of the first part. Now the second part is: What was the population two years back. For this: 15 (100/105) ^ 2 = 136054.4 Now the second question. Suppose, the total number of students is 100. 20 failed in both subjects. therefore, subtract the amount from the total numbers = 100 = 80. Now, 35 minus 20 = 5 students failed in Hindi only. Therefore, 80 minus 5 = 75 % students passed in Hindi. And 80 minus 15 = 65 % students passed in English. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list..
Re: [AI] help me in understanding the method for solving such type of mathematical problems
answer for your first question is 55 and 45 thousand respectively. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list..
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Sorry by mistake I understood as 5 instead of 15000. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list..
Re: [AI] help me in understanding the method for solving such type of mathematical problems
Sorry for a wrong answer of the second question. sending the same again. 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. Total numbers of the students: = 100 Failed in Hindi = 35% Passed in Hindi: = 100 minus 35 = 65. Failed in English: = 45 passed in English = 100 minus 45 = 55. failed in both = 20. Passed in either Hindi or English = 100 minus 20 = 80. Passed in Both = A. Passed in either Hindi or English minus Passed in Hindi = 80 minus 65 = 15 Plus B. Passed in either Hindi or English minus Passed in English =80 minus 55 = 25 = A plus B =15 plus25 =40 Answer. - Original Message - From: Mohib Anwar Rafel mohibra...@gmail.com To: accessindia accessindia@accessindia.org.in Sent: Saturday, June 22, 2013 9:34 PM Subject: [AI] help me in understanding the method for solving such type of mathematical problems Hi friends I am unable to understand the way to solve the following problems, even I couldn't understand it by reading R. S. Agarwal book. please guide me. 1. If the population of a town is 1,50,000 at present, it is increasing at the rate of 5% per annum, (a) what will be the population of the town after 2 years? (b) what was the population of the town before 2 years? 2. In a class 35% students failed in hindi, 45% failed in english subjects respectively. 20% students failed in both subjects, find out the percentage of the students who passed in both subjects. -- Mohib Anwar Rafel M.Phil/Masters in International Law, Center for International Legal Studies JNU. Pursuing Masters of Law, at University of Delhi Phone: 09811767506, 01127666896 Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list.. Register at the dedicated AccessIndia list for discussing accessibility of mobile phones / Tabs on: http://mail.accessindia.org.in/mailman/listinfo/mobile.accessindia_accessindia.org.in Search for old postings at: http://www.mail-archive.com/accessindia@accessindia.org.in/ To unsubscribe send a message to accessindia-requ...@accessindia.org.in with the subject unsubscribe. To change your subscription to digest mode or make any other changes, please visit the list home page at http://accessindia.org.in/mailman/listinfo/accessindia_accessindia.org.in Disclaimer: 1. Contents of the mails, factual, or otherwise, reflect the thinking of the person sending the mail and AI in no way relates itself to its veracity; 2. AI cannot be held liable for any commission/omission based on the mails sent through this mailing list..