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 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 <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

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--
-Kartik Sawhney,
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