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# TCS Interview Question

(1- 1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?
This question is related to TCS Interview

Answered On : Aug 25th, 2005

5/(n+5)

4 Users have rated as useful.

MAHAVEER PATIL

Answered On : Feb 3rd, 2006

0.462

anbarasigopu

Answered On : Feb 21st, 2006

=(5/6)*(6/7)*(7/8)*...((n+3)/(n+4))*((n+4)/(n+5))

=5/n+5

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gettopooja

Answered On : Jul 10th, 2006

5/6*6/7*7/8*8/9--------------n+3/n+4*n+4/n+5 all the terms cancel out each other and remainder will be ans ----- 5/n+5

3 Users have rated as useful.

Bhuvan Bhoot

Answered On : Jul 16th, 2006

5/(5+n)

1 User has rated as useful.

bhuvanbhoot

Answered On : Jul 17th, 2006

5/(n+5)

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YOGENDRA GUJAR

Answered On : Feb 3rd, 2007

leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another. Ans. 5/(n+5)

1 User has rated as useful.

sarat_619

Answered On : May 18th, 2008

5/(n+5)

1 User has rated as useful.

dinesh_sun7

Answered On : May 21st, 2008

5/(n+5)

1 User has rated as useful.

akshaygs21

Answered On : May 27th, 2008

its 5/(n+5)

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5(n+4)/(n+5)

suhana

Answered On : Jul 23rd, 2009

bujjiec

Answered On : Jul 23rd, 2009

1-1/6=5/6;1-1/7=6/7;........(1-(1/n+4))=(n+3)/(n+4);(1-(1/n+5))=(n+4)/(n+5);
there fore
(5/6)(6/7)........((n+3)/(n+4))((n+4)/(n+5))=5/(n+5)=1-(n/(n+5))

suhana

Answered On : Jul 27th, 2009

5/n+5

Navya89

Answered On : Dec 25th, 2009

5/(n+5)

pravesh28

Answered On : Feb 27th, 2010

its ans is 1

one term num eqal second term deno

jayuborse

Answered On : May 20th, 2010

5/(n+5)

imrahuls

Answered On : Jun 18th, 2010

n(n+5)

other terms cancelled by each other.

kushal2361

Answered On : Aug 1st, 2010

5*(1/n+5)

chandramauli

Answered On : Aug 3rd, 2010

5/(n+5)

manish847

Answered On : Aug 13th, 2010

5/n+5

saurav28

Answered On : Aug 21st, 2010

5/n+5

japs.1491

Answered On : Aug 25th, 2010

5/(n+5)

Since everything gets cancelled.

availjoe

Answered On : Sep 10th, 2010

1/(n+5)

sundarvarma

Answered On : Oct 27th, 2010

5/n+5

manoj004ece

Answered On : Nov 2nd, 2010

Take n=5 for example, then above equation becomes 5/6*6/7*7/8*8/9*9/10=5/10.
Which implies all the term cancel except first numerator and last denominator, so in general 5/n+5

mail2nisha88

Answered On : Feb 7th, 2011

5/n-1

Sapna

Answered On : Apr 16th, 2012

The answer is zero because expression is (1-1/6)(1-1/7)........ 1-1=0 and 1-1/6=0 so (1-1/6)*(1-1/7).....=0