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

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Manager
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If s is the product of the integers from 100 to 200 inclusiv [#permalink]  25 Oct 2007, 16:13
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If s is the product of the integers from 100 to 200 inclusive, and if 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/t^2
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Feb 2014, 01:21, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: PS - Algebra [#permalink]  25 Oct 2007, 18:10
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yuefei wrote:
IF s is the product of integers from 100 to 200, inclusive, and t is the product of 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)]/t^2

D

s = 100*...*200
t = 100*...*200*201
This means
s = t/201
Therefore,
1/s + 1/t = 201/t + 1/t = 202/t
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I get D..

s=100*...200
t=100*...201, basically t=201*s

s=t/201

1/s=201/t

201/t + 1/t= 202/t
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Re: PS - Algebra [#permalink]  26 Oct 2007, 00:41
yuefei wrote:
IF s is the product of integers from 100 to 200, inclusive, and t is the product of 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)]/t^2

D.

t = 201s or s = t/201

1/s + 1/t = 201/t + 1/t = 202/t
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Re: IF s is the product of integers from 100 to 200, inclusive, [#permalink]  17 Feb 2014, 09:29
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Hi,
thanks.
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Re: IF s is the product of integers from 100 to 200, inclusive, [#permalink]  18 Feb 2014, 01:22
Expert's post
seabhi wrote:
Hi,
thanks.

_____________

Done. Thank you.
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If s is the product of the integers from 100 to 200 inclusiv [#permalink]  04 Mar 2014, 21:47
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s = 100*...*200
t = 100*...*200*201
t = s * 201

So, $$s = \frac{t}{201}$$ & $$\frac{1}{s} = \frac{201}{t}$$

Therefore,

$$\frac{1}{s} + \frac{1}{t} = \frac{201}{t} + \frac{1}{t} = \frac{202}{t}$$
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Last edited by PareshGmat on 21 Aug 2014, 23:01, edited 1 time in total.
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Re: If s is the product of the integers from 100 to 200 inclusiv [#permalink]  21 Aug 2014, 21:54
If you become confused for big numbers, just take easy numbers as example.
Here, Let s= 2*3 and t = 2*3*4 ,

So t= s*4 or S= t/4. Similarly in the actual problem
s =t/201. 1/s = 1/(t/201) or 1/s = 201/t
1/s + 1/t = 201/t + 1/t = 202/t
Re: If s is the product of the integers from 100 to 200 inclusiv   [#permalink] 21 Aug 2014, 21:54
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