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Product of multiples of 3

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Product of multiples of 3

by deepak_free » Sat Feb 20, 2010 9:48 am
If N is the product of all multiples of 3 between 1 and 100, what is the greatest integer m for which N/10^m is an integer?
(1)3
(2)6
(3)7
(4)8
(5)10

Removing OA as I am not able to use the spoiler
Last edited by deepak_free on Sat Feb 20, 2010 9:59 am, edited 2 times in total.
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by shashank.ism » Sat Feb 20, 2010 9:55 am
deepak_free wrote:
Removing OA as am not able to use the spoiler
just select the thing which you want to spoil and click spoiler....you will be able to spoil the answer....its easy..
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by shashank.ism » Sat Feb 20, 2010 9:59 am
deepak_free wrote:If N is the product of all multiples of 3 between 1 and 100, what is the greatest integer m for which N/10^m is an integer?
(1)3
(2)6
(3)7
(4)8
(5)10

Removing OA as am not able to use the spoiler
N= 3x6x9x18x.....99
so the value of 10 could be calculated by calculating no. of 10's 30, 60, 90
[spoiler]so Ans (1) 3[/spoiler]
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by deepak_free » Sat Feb 20, 2010 10:01 am
Shashank you at least missed 15*even number + 45*even number + 75*even number [spoiler]which make it 6[/spoiler]
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by shashank.ism » Sat Feb 20, 2010 10:22 am
deepak_free wrote:Shashank you at least missed 15*even number + 45*even number + 75*even number which make it 6
oh yes sorry I missed the numbers which could multiply by even number and give us a multiple of 10 ..thanks deepak
15, 45, 75
also 75 has two 5's i.e. it will give 2 values.
30,60,90 is already there
so total values = 3 + 3 +1 =[spoiler]7 Ans (3)[/spoiler]
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by deepak_free » Sat Feb 20, 2010 10:50 am
Thanks shashank this 75 containing two 5s was something i was missing OA is 7.But unfortunately I am still not able to use spoiler
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by shashank.ism » Sat Feb 20, 2010 11:00 am
deepak_free wrote:Thanks shashank this 75 containing two 5s was something i was missing OA is 7.But unfortunately I am still not able to use spoiler
yeah deepak I actually missed a lots of 5 first time...so I did a detailed analysis and found out every hidden 5 ...so I think ans matches with OA of source..


Well for spoiler u select the text which you want to blacken with a mouse and click spoiler button..
two brackets will come up with spoiler written there and then preview or submit u will get it..
or just replace () with [] in the eg which i have given u will get it
(spoiler)Ans XYZ (/spoiler)
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