The numbers x and y are three-digit positive ...
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 III only
• d)
II and III only

### Related Test

Related 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 onlyb)III onlyc)I and III onlyd)II and III onlyCorrect answer is option 'B'. Can you explain this answer?
.4 ....7.. .6..

+ 5... ...5 ....4...
1 0 3 0

0 is less than either 6 or 4, hence ( I) is not always true.
(II) is not true as 3 is seen here, not 2

Hundreds digit of y, the greater 3 digit number must be 5 or more. it could be 6,7, 8...

....

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Question Description
This question for GMAT 2022 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about this question covers all topics & solutions for GMAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 onlyb)III onlyc)I and III onlyd)II and III onlyCorrect answer is option 'B'. Can you explain this answer?.