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If a, b, c and d denote the hundreds, tens, units and tenths digits respectively in the decimal representation of z above, is the number that results when z is rounded to the nearest integer divisible by 3?
(1) When  z100 is rounded to the nearest hundredths, the result is 1.85
(2) When  z +2 is rounded to the nearest tens, the result is 190
  • 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 to answer the question asked.
  • 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 specific to the
    problem are needed.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If a, b, c and d denote the hundreds, tens, units and tenths digits re...
Step 1 & 2: Understand Question and Draw Inference
Given: 
  •  where a, b, c and d are digits
To find: When z is rounded to the nearest integer, is the result divisible by 3?
  • The number that results when z is rounded to the nearest integer =
    • 100a + 10b + c (When d < 5)
    • Or 100a + 10b + (c + 1) (when d ≥ 5)
  • So, the answer will be YES if:
    • a + b + c is divisible by 3 (when d < 5)
    • Or, a + b + c +1 is divisible by 3 (when d ≥ 5)
Step 3 : Analyze Statement 1 independent
  • Result of rounding to nearest hundredths ( ) =
    a.bc if d < 5
    Or, a.b(c+1) if d ≥ 5
  • Given in Statement 1: Result of rounding = 1.85
    • If d < 5, then a.bc = 1.85
      • a = 1, b = 8 and c = 5
      • a + b + c = 1 + 8 + 5 = 14
      • Thus, a + b + c is NOT divisible by 3
      • So, the answer to the question is NO
  • If d ≥ 5, then a.b(c+1) = 1.85
    • a = 1, b = 8 and (c+1) = 5
    • So, a + b + (c+1) = 1 + 8 + 5 = 14
    • Thus, a + b + (c+1) is NOT divisible by 3
    • So, the answer to the question is NO
  • Thus, we’ve seen that in each of the 2 possible cases, we get the same answer to the asked question: NO
So, Statement 1 is sufficient to find a unique answer to the question.
Step 4 : Analyze Statement 2 independent
  • When z + 2 is rounded to the nearest tens, the result is 190
  • z+2 = ab(c+2).d36
  • Result of rounding z+2 to nearest tens (ab (c+2).d36)=
    • ab0 if c+2 < 5, that is, if c < 3
    • Or, a(b + 1)0 if c+2 ≥ 5, that is, if c ≥ 3
  • Given in Statement 2: Result of rounding = 190
    • If c < 3, then ab0 = 190
      • So, a = 1, b = 9
      • Possible values of c = {0, 1, 2}
      • So, possible values of the sum a + b + c = {10, 11, 12}
      • Possible values of the sum a + b + (c+1) = { 11, 12, 13}
        • (Note: Since we don’t know if d < 5 or not, we are considering the sum of digits in both cases: if d < 5 or if d ≥ 5)
      • Thus, we see that in each of the 2 cases possible, the sum of the digits may or may not be divisible by 3
      • Thus, the answer to the question may be YES or NO
  • If c+2 ≥5, then a(b + 1)0 = 190
    • So, a = 1, b = 8
    • Possible values of c = {4, 5, 6, 7, 8 or 9}
    • So, again, the sum (a + b + c) or (a + b + c + 1) may or may not be divisible by 3
      • Thus, the answer to the question may be YES or NO
So, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Step 3, this step is not required
Answer: Option A
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If a, b, c and d denote the hundreds, tens, units and tenths digits respectively in the decimal representation of z above, is the number that results when z is rounded to the nearest integer divisible by 3?(1) When z100 is rounded to the nearest hundredths, the result is 1.85(2) When z +2 is rounded to the nearest tens, the result is 190a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer?
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If a, b, c and d denote the hundreds, tens, units and tenths digits respectively in the decimal representation of z above, is the number that results when z is rounded to the nearest integer divisible by 3?(1) When z100 is rounded to the nearest hundredths, the result is 1.85(2) When z +2 is rounded to the nearest tens, the result is 190a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. 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 If a, b, c and d denote the hundreds, tens, units and tenths digits respectively in the decimal representation of z above, is the number that results when z is rounded to the nearest integer divisible by 3?(1) When z100 is rounded to the nearest hundredths, the result is 1.85(2) When z +2 is rounded to the nearest tens, the result is 190a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a, b, c and d denote the hundreds, tens, units and tenths digits respectively in the decimal representation of z above, is the number that results when z is rounded to the nearest integer divisible by 3?(1) When z100 is rounded to the nearest hundredths, the result is 1.85(2) When z +2 is rounded to the nearest tens, the result is 190a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer?.
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