Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-24 Thread Mohib Anwar Rafel
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

2013-06-24 Thread Zujar Shabbir Kanchwala
@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

2013-06-24 Thread Kartik Sawhney
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

2013-06-23 Thread Zujar Shabbir Kanchwala
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 
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 .in


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 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 
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Disclaimer:
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2. AI cannot be held liable for any commission/omission based on the mails
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Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-23 Thread Kartik Sawhney
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

2013-06-23 Thread Vedprakash
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:
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To unsubscribe send a message to

Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-23 Thread Kartik Sawhney
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% 

[AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Mohib Anwar Rafel
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/

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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

2013-06-22 Thread S P Sharma

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/

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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..





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Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Ajay Minocha
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/

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 accessindia-requ...@accessindia.org.in
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 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

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Disclaimer:
1. Contents 

Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Vedprakash
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:
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veracity;


2. AI cannot be held liable for any commission/omission based on the mails 
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Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Padmanabham

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
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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 
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Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Padmanabham

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 
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Re: [AI] help me in understanding the method for solving such type of mathematical problems

2013-06-22 Thread Vedprakash

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

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