If t and r are positive integers and both have the same digits but wit

Question

If t and r are positive integers and both have the same digits but with a different ordering, what is r?

(1) t = 399
(2) r > 900

Vinayak Shenoy · Answer

IMO E

Statement 1 insufficient ( value of r=939 or 993)
statement 2 insufficient ( value can be anything above 900 also you don't know the digits in t which are same as in r)
combining r= 939 or 993 (we need a definite value)
hence E (two different values available)

GSBae · Answer

Solved in 52 seconds.

(1) t = 399  Since r must have a different ordering, this tells us that r must be either 939 or 993. There are two options for r, therefore option 1) is  Insufficient
 
 (2) r > 900  We're trying to find r. This says that r could be any positive integer greater than 900. Obviously many options;  Insufficient.

Taken together, from 1) we know we two options, but both are greater than 900. We still can't find an exact value for r. Even together we need more information.

Answer: E

If t and r are positive integers and both have the same digits but wit

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