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while leaving 9's unchanged

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while leaving 9's unchanged

by sanju09 » Wed May 02, 2012 5:05 am
A positive number x has three digits and ~x is defined as the number obtained by adding 1 to each digit that is less than 9 while leaving 9's unchanged. Which of the following must be true?
I. ~(~x) > ~x
II. ~x ≥ x + 100
III. 3 · x > ~x

(A) none
(B) I, only
(C) II, only
(D) III, only
(E) I, II, and III



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by klmehta03 » Wed May 02, 2012 5:54 am
IMO E. OA pls?

Will "009" count as 3 digit number?
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by spartacus1412 » Wed May 02, 2012 5:59 am
IMO D
to contradict 1 & 2 take 999 as x.
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