Thank you all.

On 6/24/13, Kartik Sawhney <[email protected]> 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 (either....or....both) 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 <[email protected]> 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" <[email protected]>
>> To: <[email protected]>
>> 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 150000 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 <[email protected]> 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:[email protected]] On
>>>> Behalf
>>>> Of Vedprakash
>>>> Sent: Sunday, June 23, 2013 11:25 AM
>>>> To: [email protected]
>>>> 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" <[email protected]>
>>>> To: "accessindia" <[email protected]>
>>>> 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
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>>>>>
>>>>>
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>>>
>>>
>>> --
>>> -Kartik Sawhney,
>>> Mob.: 91-9560953728
>>> Landline: 91-11-29811529
>>> E-mail ID: [email protected] (all personal E-mails);
>>> [email protected] (all academic E-mails)
>>> Skype: kartik.sawhney22
>>>
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>>
>>
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>
>
> --
> -Kartik Sawhney,
> Mob.: 91-9560953728
> Landline: 91-11-29811529
> E-mail ID: [email protected] (all personal E-mails);
> [email protected] (all academic E-mails)
> Skype: kartik.sawhney22
>
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> mobile phones / Tabs on:
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>
>
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>


-- 
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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