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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.
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
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The numbers x and y are three-digit positive integers, and x + y is a ...
Since the tens digit of x is 7, we can write x as 700 + a, where a is a two-digit number. Similarly, we can write y as 500 + b, where b is a two-digit number.
Since x y is a four-digit integer, we know that a + b is at least 10. We also know that the units digit of x + y is 0, so a + b must be a multiple of 10. The only possibility is a + b = 10.
We can now write x y as (700 + a) + (500 + b) = 1200 + a + b. Since a + b = 10, we have x y = 1210.
Therefore, x = 710 and y = 500 + b = 510. The possible values of b are 1, 2, 3, 4, 6, 7, 8, and 9.
Since x y is a four-digit integer, we know that a + b is at least 10. We also know that the units digit of x + y is 0, so a + b must be a multiple of 10. The only possibility is a + b = 10.
We can now write x y as (700 + a) + (500 + b) = 1200 + a + b. Since a + b = 10, we have x y = 1210.
Therefore, x = 710 and y = 500 + b = 510. The possible values of b are 1, 2, 3, 4, 6, 7, 8, and 9.
Community Answer
The numbers x and y are three-digit positive integers, and x + y is a ...
.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...
....
+ 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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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?
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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 onlyb)III onlyc)I and III onlyd)II and III onlyCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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? covers all topics & solutions for GMAT 2025 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?.
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? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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? covers all topics & solutions for GMAT 2025 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?.
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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 onlyb)III onlyc)I and III onlyd)II and III onlyCorrect answer is option 'B'. Can you explain this answer?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice GMAT tests.
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