# TCS Interview Question

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

• Aug 25th, 2005

5/(n+5)

#### MAHAVEER PATIL

• Feb 3rd, 2006

0.462

#### anbarasigopu Profile Answers by anbarasigopu

• Feb 21st, 2006

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

=5/n+5

#### gettopooja Profile Answers by gettopooja

• 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

#### Bhuvan Bhoot

• Jul 16th, 2006

5/(5+n)

#### bhuvanbhoot Profile Answers by bhuvanbhoot

• Jul 17th, 2006

5/(n+5)

#### YOGENDRA GUJAR

• Feb 3rd, 2007

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

#### sarat_619 Profile Answers by sarat_619

• May 18th, 2008

5/(n+5)

#### dinesh_sun7 Profile Answers by dinesh_sun7

• May 21st, 2008

5/(n+5)

#### akshaygs21 Profile Answers by akshaygs21

• May 27th, 2008

its 5/(n+5)

#### gnarsireddy.007 Profile Answers by gnarsireddy.007

• Jul 22nd, 2009

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

#### suhana Profile Answers by suhana Questions by suhana

• Jul 23rd, 2009

#### bujjiec Profile Answers by bujjiec

• 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 Profile Answers by suhana Questions by suhana

• Jul 27th, 2009

5/n+5

#### Navya89 Profile Answers by Navya89

• Dec 25th, 2009

5/(n+5)

#### pravesh28 Profile Answers by pravesh28 Questions by pravesh28

• Feb 27th, 2010

its ans is 1

one term num eqal second term deno

#### jayuborse Profile Answers by jayuborse

• May 20th, 2010

5/(n+5)

#### imrahuls Profile Answers by imrahuls

• Jun 18th, 2010

n(n+5)

other terms cancelled by each other.

#### kushal2361 Profile Answers by kushal2361

• Aug 1st, 2010

5*(1/n+5)

#### chandramauli Profile Answers by chandramauli

• Aug 3rd, 2010

5/(n+5)

#### manish847 Profile Answers by manish847

• Aug 13th, 2010

5/n+5

#### saurav28 Profile Answers by saurav28

• Aug 21st, 2010

5/n+5

#### japs.1491 Profile Answers by japs.1491

• Aug 25th, 2010

5/(n+5)

#### venakataramanan Profile Answers by venakataramanan

• Aug 26th, 2010

Since everything gets cancelled.

#### availjoe Profile Answers by availjoe

• Sep 10th, 2010

1/(n+5)

#### sundarvarma Profile Answers by sundarvarma

• Oct 27th, 2010

5/n+5

#### manoj004ece Profile Answers by manoj004ece

• 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 Profile Answers by mail2nisha88

• Feb 7th, 2011

5/n-1

#### Sapna

• 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

#### Tejaswini

• Jun 7th, 2019

Except first numerator and last denominator all other numerators and denominators will be cancelled. so ans is : 5/(n+5).....