GMAT Exam  >  GMAT Questions  >  If a, b, c, and 0 are the thousands digit, th... Start Learning for Free
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?



1) a = 5

2) c = 4

  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

  • b)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

  • 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)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten...
Statement 1: a = 5
Knowing that the thousands digit (a) is 5 does not provide any direct information about divisibility by 20. There could be multiple numbers that satisfy this condition, and we don't have information about the other digits. Therefore, statement 1 alone is not sufficient to determine if n is divisible by 20.
Statement 2: c = 4
Knowing that the tens digit (c) is 4 also does not provide enough information to determine divisibility by 20. Similarly to statement 1, there could be multiple numbers that satisfy this condition, and we don't have information about the other digits. Therefore, statement 2 alone is not sufficient to determine if n is divisible by 20.
Combining both statements:
Combining statements 1 and 2, we know that a = 5 and c = 4. However, we still don't have any information about the other digits (b and 0) or their arrangement. Without the complete information about the other digits, we cannot determine if n is divisible by 20.
Therefore, statement 2 alone is sufficient to answer the question, while statement 1 alone is not. The answer is B.
Community Answer
If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten...
Understanding the Question:
The question asks whether a 4-digit positive integer n is divisible by 20, given the thousands digit (a), hundreds digit (b), tens digit (c), and units digit (0) of the number.

Statement 1: a = 5
This statement tells us the value of the thousands digit. However, knowing only the value of the thousands digit is not sufficient to determine if the number is divisible by 20 or not. For example, the number could be 5430, which is divisible by 20 or 5780, which is not divisible by 20.

Statement 2: c = 4
This statement tells us the value of the tens digit. Similar to statement 1, knowing only the value of the tens digit is not sufficient to determine if the number is divisible by 20 or not. For example, the number could be 5400, which is divisible by 20 or 5420, which is also divisible by 20.

Combined Statements:
Even when both statements are considered together, we still do not have enough information to determine if the number is divisible by 20. For example, the number could be 5040, which is divisible by 20 or 5480, which is not divisible by 20.
Therefore, both statements together are not sufficient to answer the question. Additional information about the units digit or the specific arrangement of the digits would be needed to determine if the number is divisible by 20. Hence, the correct answer is option (B).
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer?
Question Description
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? for GMAT 2024 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 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?1) a = 52) c = 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededc)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)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev