Ultimate Quant Marathon Blog For IIM CAT

Problem of the day 1.07.09

with 11 comments

11 Responses

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1. max. possible integral value of n is…3

   anup

   July 1, 2009 at 2:14 pm

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2. MAximum value of n is 12

   Naresh

   July 1, 2009 at 3:59 pm

   Reply
   • Both of you have got it wrong

     Rahul

     July 1, 2009 at 4:15 pm

     Reply
     • den is it 13???..plz send me d soln..

       anup

       July 2, 2009 at 6:24 am
3. The highest prime in 24! is 23

   so the n will be limited by the power of 23 in 300!

   Now solve!

   Rahul

   July 2, 2009 at 6:27 am

   Reply
4. yes the power of the highest prime will determine the value of 23.
   hence the answer is 13 + 1 =14.

   yodha

   July 3, 2009 at 9:14 am

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5. Answer is 13 yodha! why do u add 1?

   Rahul

   July 3, 2009 at 9:16 am

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6. sorry just made a slight error.
   i added 1 with the thought 300/13^2 (i.e. considered the power of 13). now u can understand. how big is this error.

   sorry for that.

   yodha

   July 4, 2009 at 2:20 pm

   Reply
7. hi rahul..it may b too trivial to ask but can u explain as in y the highest power of prime would be the determining factor,also y cant the power of 24 do?

   saurabh

   July 28, 2009 at 11:04 am

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8. because 24=2^3×3

   there will be many 2s and 3s in 300!
   but there will be very few 23s.

   I hope u get it!

   Rahul

   July 28, 2009 at 12:12 pm

   Reply
   • thnx a lot

     saurabh

     July 28, 2009 at 5:04 pm

     Reply