vaibhav101 wrote:If r & t are 3-digit positive integers, is r >t?
1) the tens digit of r is > each of the 3 digits of t.
2) the tens digit of r is < either of the other 2 digits of r.
Given: r & t are 3-digit positive integers
We have to determine whether r >t.
Say r = xyz and t = pqr, where x, yz, p, q, and r are single digits, except 0.
Let's take each statement one by one.
1) the tens digit of r is > each of the 3 digits of t.
=> y > p, q, and r
If x > y, then the answer is yes, xyz > pqr; however, x ≤ y, then the answer is no, xyz ≤ pqr. No unique answer. Insufficient.
2) the tens digit of r is < either of the other 2 digits of r.
No information about t. Insufficient.
(1) and (2) together
From (2), we know that y < x and from, (1), we know that y > p, q, and r. Thus, x > p, q, and r.
This implies that r > t. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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