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What is the units digit of the three-digit integer N?
(1) When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten
(2) N is divisible by 4.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the units digit of the three-digit integer N?(1) When N is rou...
Statement (1): When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten.
This statement implies that the tens digit of N is greater than or equal to 5. For example, if N is rounded to the nearest hundred and the result is 100, then when rounded to the nearest ten, the result must be 150.
However, this statement alone does not provide enough information to determine the units digit of N.
Statement (2): N is divisible by 4.
A number is divisible by 4 if its last two digits form a number that is divisible by 4. For example, if N ends in 24, 28, 32, etc., it is divisible by 4.
Knowing that N is divisible by 4 helps us narrow down the possible values for the units digit. However, it still doesn't give us a unique answer.
Combining both statements:
From statement (1), we know that the tens digit of N is greater than or equal to 5. From statement (2), we know that N is divisible by 4, meaning the last two digits must form a number divisible by 4.
Combining these conditions, we can list the possibilities for the tens and units digits:
  • 54 (divisible by 4)
  • 64 (divisible by 4)
  • 74 (not divisible by 4)
  • 84 (divisible by 4)
  • 94 (not divisible by 4)
Only the numbers 54, 64, and 84 satisfy both conditions. Therefore, the units digit of N could be 4, 6, or 8.
Since we can't determine the units digit with certainty, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Most Upvoted Answer
What is the units digit of the three-digit integer N?(1) When N is rou...
Statement (1): When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten.
This statement implies that the tens digit of N is greater than or equal to 5. For example, if N is rounded to the nearest hundred and the result is 100, then when rounded to the nearest ten, the result must be 150.
However, this statement alone does not provide enough information to determine the units digit of N.
Statement (2): N is divisible by 4.
A number is divisible by 4 if its last two digits form a number that is divisible by 4. For example, if N ends in 24, 28, 32, etc., it is divisible by 4.
Knowing that N is divisible by 4 helps us narrow down the possible values for the units digit. However, it still doesn't give us a unique answer.
Combining both statements:
From statement (1), we know that the tens digit of N is greater than or equal to 5. From statement (2), we know that N is divisible by 4, meaning the last two digits must form a number divisible by 4.
Combining these conditions, we can list the possibilities for the tens and units digits:
  • 54 (divisible by 4)
  • 64 (divisible by 4)
  • 74 (not divisible by 4)
  • 84 (divisible by 4)
  • 94 (not divisible by 4)
Only the numbers 54, 64, and 84 satisfy both conditions. Therefore, the units digit of N could be 4, 6, or 8.
Since we can't determine the units digit with certainty, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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What is the units digit of the three-digit integer N?(1) When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten(2) N is divisible by 4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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What is the units digit of the three-digit integer N?(1) When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten(2) N is divisible by 4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. 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 What is the units digit of the three-digit integer N?(1) When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten(2) N is divisible by 4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the units digit of the three-digit integer N?(1) When N is rounded to the nearest hundred, the result is 50 less than the result when N is rounded to the nearest ten(2) N is divisible by 4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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