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# If s is the product of the integers from 100 to 200,

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Manager
Joined: 10 Dec 2005
Posts: 91
If s is the product of the integers from 100 to 200,  [#permalink]

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02 Jan 2006, 21:52
1
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Difficulty:

(N/A)

Question Stats:

100% (01:07) correct 0% (00:00) wrong based on 35 sessions

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If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is 1/s + 1/t in terms of t?
A. (201)2/t
B. [(202)(201)]/t
C. 201/t
D. 202/t
E. [(202)(201)]/t2

Im lost here. Pls explain.

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JAI HIND!

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Joined: 24 Sep 2005
Posts: 1783
Re: PS: Product of integers  [#permalink]

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02 Jan 2006, 22:18
3
2
JAI HIND wrote:
If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is 1/s + 1/t in terms of t?
A. (201)2/t
B. [(202)(201)]/t
C. 201/t
D. 202/t
E. [(202)(201)]/t2

Im lost here. Pls explain.

t=100*101*.....*200*201
s= t/201

--> 1/s +1/t = 1/ (t/201) + 1/t= 201/t+ 1/t = 202/t
VP
Joined: 06 Jun 2004
Posts: 1005
Location: CA
Re: PS: Product of integers  [#permalink]

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02 Jan 2006, 22:24
JAI HIND wrote:
If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is 1/s + 1/t in terms of t?
A. (201)2/t
B. [(202)(201)]/t
C. 201/t
D. 202/t
E. [(202)(201)]/t2

Im lost here. Pls explain.

D

S = 200!/99!
T = 201!/99!

1/S = 99!/200!
1/T = 99!/201!

1/S + 1/T = 99!/200! + 99!/201! = 201*99!/200!*201 + 99!/201*200! = 99! (201+1)/201*200! = 99! (202) / 201! = 202*(1/T)
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VP
Joined: 06 Jun 2004
Posts: 1005
Location: CA
Re: PS: Product of integers  [#permalink]

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02 Jan 2006, 22:28
1
laxieqv wrote:
JAI HIND wrote:
If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is 1/s + 1/t in terms of t?
A. (201)2/t
B. [(202)(201)]/t
C. 201/t
D. 202/t
E. [(202)(201)]/t2

Im lost here. Pls explain.

t=100*101*.....*200*201
s= t/201

--> 1/s +1/t = 1/ (t/201) + 1/t= 201/t+ 1/t = 202/t

_________________

Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

Director
Joined: 04 Oct 2005
Posts: 554
Location: Chicago

### Show Tags

03 Jan 2006, 22:15
D for me too
s=t/201
Replace that in equation to get 202/t
Non-Human User
Joined: 09 Sep 2013
Posts: 9449
Re: If s is the product of the integers from 100 to 200,  [#permalink]

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10 Sep 2018, 05:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If s is the product of the integers from 100 to 200, &nbs [#permalink] 10 Sep 2018, 05:03
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