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# For any integer k greater than 1, the symbol k* denotes the

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Senior Manager
Joined: 02 Dec 2007
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For any integer k greater than 1, the symbol k* denotes the [#permalink]

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20 Sep 2008, 07:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t , where t is an integer between 1 and k, inclusive. What is the value of5*/4* ?

A. 5
B. 5/4

C. 4/5
D. 1/4

E. 1/5

Last edited by Nihit on 20 Sep 2008, 08:13, edited 1 time in total.

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VP
Joined: 30 Jun 2008
Posts: 1033

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20 Sep 2008, 08:39
1
KUDOS
Nihit wrote:
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t , where t is an integer between 1 and k, inclusive. What is the value of5*/4* ?

A. 5
B. 5/4
C. 4/5
D. 1/4
E. 1/5

5* = 1/1 * 1/2 * 1/3 * 1/4 * 1/5 = 1 / (2*3*4*5)
4* = 1/1 * 1/2 * 1/3 * 1/4 = 1 / (2*3*4)

5*/4* = (2*3*4)/(2*3*4*5) = 1/5
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Manager
Joined: 28 Aug 2008
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25 Sep 2008, 17:01
E if inclusive.

But if t is between k an 1 (not inclusive.. as was originally written) the answer is 1/4

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VP
Joined: 05 Jul 2008
Posts: 1402

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25 Sep 2008, 17:57
IgnitedMind wrote:
E if inclusive.

But if t is between k an 1 (not inclusive.. as was originally written) the answer is 1/4

Exactly. I was looking for the word inclusive. Q never said that. So 5* would be 1/2 * 1/3 * 1/4

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Manager
Joined: 22 Sep 2008
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26 Sep 2008, 07:24
Its D.

5* = 1/2* 1/3 *1/4 (between 1 and k , k =5 )

4* = 1/2 * 1/3 (between 1 and k , k =4 )

so 5* / 4* = 1/4

Thanks
Vishal Shah

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Re: K*   [#permalink] 26 Sep 2008, 07:24
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