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If a and b are positive integers, what is the digit at the unit's place of 18^(2a + 5b)?
(1) a is even, b is a multiple of four.
(2) b = 12
(2) b = 12
- 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 'A'. Can you explain this answer?
Verified Answer
If a and b are positive integers, what is the digit at the units place...
Statement (1): a is even, b is a multiple of four.
If a is even, then 2a is a multiple of 4. Additionally, if b is a multiple of four, then 5b is also a multiple of 4. Since both 2a and 5b are multiples of 4, the exponent 2a + 5b is a multiple of 4. As a result, 18(2a + 5b) will end in the same digit as 184, as the unit's digit repeats every 4 powers of 18.
If a is even, then 2a is a multiple of 4. Additionally, if b is a multiple of four, then 5b is also a multiple of 4. Since both 2a and 5b are multiples of 4, the exponent 2a + 5b is a multiple of 4. As a result, 18(2a + 5b) will end in the same digit as 184, as the unit's digit repeats every 4 powers of 18.
The unit's digit of 184 is 4. Therefore, statement (1) alone is sufficient to determine the digit at the unit's place.
Statement (2): b = 12
This statement gives the value of b as 12. However, it does not provide any information about a or the exponent 2a + 5b. Without knowing the value of a, we cannot determine the digit at the unit's place. Therefore, statement (2) alone is not sufficient.
This statement gives the value of b as 12. However, it does not provide any information about a or the exponent 2a + 5b. Without knowing the value of a, we cannot determine the digit at the unit's place. Therefore, statement (2) alone is not sufficient.
Since statement (1) alone is sufficient to determine the digit at the unit's place, but statement (2) alone is not sufficient, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Most Upvoted Answer
If a and b are positive integers, what is the digit at the units place...
Statement (1): a is even, b is a multiple of four.
If a is even, then 2a is a multiple of 4. Additionally, if b is a multiple of four, then 5b is also a multiple of 4. Since both 2a and 5b are multiples of 4, the exponent 2a + 5b is a multiple of 4. As a result, 18(2a + 5b) will end in the same digit as 184, as the unit's digit repeats every 4 powers of 18.
If a is even, then 2a is a multiple of 4. Additionally, if b is a multiple of four, then 5b is also a multiple of 4. Since both 2a and 5b are multiples of 4, the exponent 2a + 5b is a multiple of 4. As a result, 18(2a + 5b) will end in the same digit as 184, as the unit's digit repeats every 4 powers of 18.
The unit's digit of 184 is 4. Therefore, statement (1) alone is sufficient to determine the digit at the unit's place.
Statement (2): b = 12
This statement gives the value of b as 12. However, it does not provide any information about a or the exponent 2a + 5b. Without knowing the value of a, we cannot determine the digit at the unit's place. Therefore, statement (2) alone is not sufficient.
This statement gives the value of b as 12. However, it does not provide any information about a or the exponent 2a + 5b. Without knowing the value of a, we cannot determine the digit at the unit's place. Therefore, statement (2) alone is not sufficient.
Since statement (1) alone is sufficient to determine the digit at the unit's place, but statement (2) alone is not sufficient, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 '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 and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 '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 and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer?.
If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 '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 and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 '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 and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer?.
Solutions for If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer?, a detailed solution for If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer? has been provided alongside types of If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a and b are positive integers, what is the digit at the units place of 18^(2a + 5b)?(1) a is even, b is a multiple of four.(2) b = 12a)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 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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