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Of the N books on a Table, some are English and the rest are Bangla.

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mamun2871
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Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   17 Apr 2018, 04:31
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Of the N books on a Table, some are English and the rest are Bangla. What is the Value of N?

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
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C
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chetan2u
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Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   17 Apr 2018, 21:13
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mamun2013@gmail.com wrote:
Of the N books on a Table, some are English and the rest are Bangla. What is the Value of N?

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.



so all books are either english or bangla..

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.
so \(\frac{(e-1)}{(n-1)}=\frac{1}{5}.......5e-5=n-1......5e=n+4.\)
many possibilities..
insuff

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
so \(\frac{e}{(n-2)}=\frac{1}{4}.......4e=n-2.......\)
many possibilities..
insuff

combined..

two variables two distinct equations..
sufficient

C
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   01 May 2018, 20:48
I) as per statement total books(N)=5x+1 out of which
English=x+1
Bangla=4x
Insufficient

II)as per statement N=4y+2. Out of which
English= y
Bangla=3y+2
Insufficient

Combining we have
x+1=y And 4x=3y+2

Solve eqn

N comes out to be 26

So C is answer

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Nived
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   17 May 2018, 00:19
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If n is total books, e is english and b is bangla,

(1) 1/5 (n-1) = e-1
From this we cannot find n, since there are two variables

(2) 1/4(n-2) = e
From this we cannot find n, since there are two variables

By combining the two, we now have 2 equations and 2 variables. Solving, we get e=6, n = 26
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Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   14 Jun 2021, 18:16
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chetan2u wrote:
mamun2013@gmail.com wrote:
Of the N books on a Table, some are English and the rest are Bangla. What is the Value of N?

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.



so all books are either english or bangla..

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.
so \(\frac{(e-1)}{(n-1)}=\frac{1}{5}.......5e-5=n-1......5e=n-6.\)
many possibilities..
insuff

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
so \(\frac{(b-2)}{(n-2)}=\frac{1}{4}.......4e-4=n-2......4e=n+2.\)
many possibilities..
insuff

combined..

two variables two distinct equations..
sufficient

C


Could you please recheck your equations please? I think your first equation should be 5e=n+4 and for your statement two solution, the numerator should have e instead of b-2 I think.
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   14 Jun 2021, 18:59
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Rukia wrote:
chetan2u wrote:
mamun2013@gmail.com wrote:
Of the N books on a Table, some are English and the rest are Bangla. What is the Value of N?

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.



so all books are either english or bangla..

(1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English.
so \(\frac{(e-1)}{(n-1)}=\frac{1}{5}.......5e-5=n-1......5e=n-6.\)
many possibilities..
insuff

(2) If 2 Bangla books were removed from the N books, 1/4 of the remaining books would be English.
so \(\frac{(b-2)}{(n-2)}=\frac{1}{4}.......4e-4=n-2......4e=n+2.\)
many possibilities..
insuff

combined..

two variables two distinct equations..
sufficient

C


Could you please recheck your equations please? I think your first equation should be 5e=n+4 and for your statement two solution, the numerator should have e instead of b-2 I think.


Thank you. Corrected the typos.
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink] New post   21 Jan 2024, 10:24
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Re: Of the N books on a Table, some are English and the rest are Bangla. [#permalink]
21 Jan 2024, 10:24
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