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# Is T an integer? 1.T is a three digit integer whose

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Manager
Joined: 09 Feb 2003
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Is T an integer? 1.T is a three digit integer whose [#permalink]  18 Nov 2003, 09:14
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Is T an integer?
1.T is a three digit integer whose hundredsтАЩ digit is 3 and tensтАЩ is 5
2.T is a seven digit integer and is divisible by 8
Can anybody explain why?
Thanks
Sarnia
Director
Joined: 13 Nov 2003
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Location: Florida
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both statements say that T is an integer.. do we need any more information?

is this question correct?

Last edited by dj on 18 Nov 2003, 09:37, edited 1 time in total.
Manager
Joined: 09 Feb 2003
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correction [#permalink]  18 Nov 2003, 09:29
Sorry, the correct question is :

Is T the square of an integer?
1.T is a three digit integer whose hundredsтАЩ digit is 3 and tensтАЩ is 5
2.T is a seven digit integer and is divisible by 8
Can anybody explain why
Director
Joined: 13 Nov 2003
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alright..here it goes.

1. 35* (* varies from 1 thru 9), sq root doesn't give you an integer. A suffice.

2. for an interger to be divisible by 8 should have last 3 (unit, tens',hundred) divible by 8. there could be 112 different values (varying from ****104 to ****992). Hence, this doesn't boils down to one particular value. B, not enuf.

hope this helps.
Intern
Joined: 30 Oct 2003
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For option 2 'doesn't boil down to one particular value' may not be enough. If there were values and if all were squares of numbers and also divisible by 8, Option 2 would have still been sufficient!?

It's an Yes/No Question. So check if you get an always Yes answer or an always No answer.

The lowest number, square of which will yield a 7 digit number is 1000.
1000^2 = 1000000 - First 7 digit number. It is also divisible by 9. Therefore it satisfies option 2 (Yes).

But consider 1000008 - This is also satisifes Option 2 (7 digit and divisible by 8)- . But this is not a square of an integer because the next number after 1000000 which is a square of an integer is 1001^2=1002001.(No)

So option 2 alone is not sufficient.
Director
Joined: 13 Nov 2003
Posts: 971
Location: Florida
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alright. thanks, pawargmat, for putting some more effort to it.

cheers!
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