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If x is a positive integer, what is the number of different positive factors of 24x ?
(1) x is a two-digit number
(2) x2 has 3 positive factors
(2) x2 has 3 positive factors
- 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?
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Verified Answer
If x is a positive integer, what is the number of different positive f...
Factorize: 24x = 23 ∗ 3 ∗ x
(1) x is a two-digit number
Clearly insufficient.
(2) x2 has 3 positive factors
Clearly insufficient.
(2) x2 has 3 positive factors
The above means that x is a prime number. Only the squares of primes (p2) have three factors: 1, p, and p2
If x = 11 (or any other prime except 2 and 3), then 24x = 23 ∗ 3 ∗ 11 will have (3+1)(1+1)(1+1) = 16
factors;
If x = 2, then 24x = 24 ∗ 3 will have (4 + 1)(1 + 1)=10 factors.
If x = 2, then 24x = 23 ∗ 32 will have (3 + 1)(2 + 1) = 12 factors.
Not sufficient.
If x = 11 (or any other prime except 2 and 3), then 24x = 23 ∗ 3 ∗ 11 will have (3+1)(1+1)(1+1) = 16
factors;
If x = 2, then 24x = 24 ∗ 3 will have (4 + 1)(1 + 1)=10 factors.
If x = 2, then 24x = 23 ∗ 32 will have (3 + 1)(2 + 1) = 12 factors.
Not sufficient.
(1)+(2) Since (1) says that x is a two-digit number, then x cannot be 2 or 3, so it must be a two-digit prime. For any two digit prime, 24x = 23 ∗ 3 ∗ x will have (3 + 1) (1 + 1) (1 + 1) =16 factors. Sufficient.
Most Upvoted Answer
If x is a positive integer, what is the number of different positive f...
Factorize: 24x = 23 ∗ 3 ∗ x
(1) x is a two-digit number
Clearly insufficient.
(2) x2 has 3 positive factors
Clearly insufficient.
(2) x2 has 3 positive factors
The above means that x is a prime number. Only the squares of primes (p2) have three factors: 1, p, and p2
If x = 11 (or any other prime except 2 and 3), then 24x = 23 ∗ 3 ∗ 11 will have (3+1)(1+1)(1+1) = 16
factors;
If x = 2, then 24x = 24 ∗ 3 will have (4 + 1)(1 + 1)=10 factors.
If x = 2, then 24x = 23 ∗ 32 will have (3 + 1)(2 + 1) = 12 factors.
Not sufficient.
If x = 11 (or any other prime except 2 and 3), then 24x = 23 ∗ 3 ∗ 11 will have (3+1)(1+1)(1+1) = 16
factors;
If x = 2, then 24x = 24 ∗ 3 will have (4 + 1)(1 + 1)=10 factors.
If x = 2, then 24x = 23 ∗ 32 will have (3 + 1)(2 + 1) = 12 factors.
Not sufficient.
(1)+(2) Since (1) says that x is a two-digit number, then x cannot be 2 or 3, so it must be a two-digit prime. For any two digit prime, 24x = 23 ∗ 3 ∗ x will have (3 + 1) (1 + 1) (1 + 1) =16 factors. Sufficient.
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If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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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If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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?.
If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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?.
Solutions for If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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? in English & in Hindi are available as part of our courses for GMAT.
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If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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?, a detailed solution for If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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? has been provided alongside types of If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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? theory, EduRev gives you an
ample number of questions to practice If x is a positive integer, what is the number of different positive factors of 24x ?(1) x is a two-digit number(2) x2 has 3 positive factorsa)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? tests, examples and also practice GMAT tests.
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