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Manager
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Is T an integer? 1.T is a three digit integer whose [#permalink]
 18 Nov 2003, 10:14
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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
My answer тАЬD"
Official answer тАЬA
Can anybody explain why?
Thanks
Sarnia
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VP
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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, 10:37, edited 1 time in total.
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Manager
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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
My answer тАЬd
Official answer тАЬA
Can anybody explain why
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VP
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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.
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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.
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VP
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alright. thanks, pawargmat, for putting some more effort to it.
cheers!
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close
