The numbers x and y are three-digit positive integers, and x : PS Archive
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# The numbers x and y are three-digit positive integers, and x

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The numbers x and y are three-digit positive integers, and x [#permalink]

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11 Sep 2007, 17:54
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100% (03:47) correct 0% (00:00) wrong based on 2 sessions

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The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5.

A. II only
B. III only
C. I and II
D. I and III
E. II and III

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12 Sep 2007, 05:34
I get B, III only

I isn't necessarily true. We've been told nothing about the units digits, so we know nothing about the units digits of X+Y
II isn't necessarily true. The tens digit of X+Y could also be 3.
III This has to be true. X+Y is at least 1000. Since Y > X, Y must be at least 501.
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Re: PS - Set 4, Math 31 [#permalink]

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12 Sep 2007, 06:45
gluon wrote:
The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5.

A. II only
B. III only
C. I and II
D. I and III
E. II and III

Same B .

Key here is x<y . for that y has to be atleast 5
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12 Sep 2007, 07:11
yes B too..

though it took me some time..i dont know some days my mind is soo not into quant...grrrrrrrrrr
12 Sep 2007, 07:11
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