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hdvforever
Joined: 13 Mar 2006
Posts: 2
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 Posted: Mon Mar 13, 2006 1:03 pm Post subject: number systems |
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What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?
(1) 144
(2) 72
(3) 108
(4) 216
Correct Answer - (2)
shortcut mthd for this prob??? |
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shaji
Serious about CAT
Joined: 22 May 2005
Posts: 71
Location: UK
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| Posted: Wed Mar 15, 2006 2:38 pm Post subject: Re: number systems |
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| hdvforever wrote: | What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?
(1) 144
(2) 72
(3) 108
(4) 216
Correct Answer - (2)
shortcut mthd for this prob??? |
Hi;
Since 350 is factor of 100!, the solution is to look at the lowest number among the choices which is the required answer.
The best shortcut in such tests is to look at the answer choices closely.
Regards;
Shaji |
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CZ@@@H@@@R
Serious about CAT
Joined: 14 Jan 2006
Posts: 64
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| Posted: Fri Mar 17, 2006 4:49 pm Post subject: number systems |
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| hdvforever wrote: | What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?
(1) 144
(2) 72
(3) 108
(4) 216
Correct Answer - (2)
shortcut mthd for this prob??? |
Question doesn't make any sense. 350 should read as 3^50.
The least number that needs to be multiplied by 100! to make is perfectly divisible by 3^50 is 3^50/3^48 = 9. Since all the choices are multiple of 9. Least number is 72 and hence answer. |
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