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

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27 Aug 2004, 07:22

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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

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

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27 Aug 2004, 08:07

marine 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

I. Not true: eg. 5+6 = 11 and 1< 5 or 6
II. Not true: if units digit sum is > 10, then tens digit = 3
III Not true: x+y needs to be greater than 999 and smaller than 1999. If y hundreds unit =5, x will be <5, and only if hundreds units of x is =, then x+ will have four digits. If x=3,2 or 1, then x+y will have three digits.

If III. were "The hundreds digit of x is at least 5" or the stem said "x>y" then III would be true.

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

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05 Oct 2014, 09:17

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

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08 Oct 2015, 15:39

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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08 Feb 2016, 19:04

marine 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

we can easily arrive to the answer choices if we give values to x and y: x=879 y=959

I we can see that units digit of x+y is less than units digit of either one. we can eliminate C and D right away. II again, we can add 879+959 - and the tens digit is not 2. - we can eliminate A and E, and pick up E.

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

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16 Apr 2017, 20:33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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