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A positive integer n has more than 1 distinct prime factor. Is the product of the prime factors of n less than n?
(1) The number of distinct factors of n, including n, is odd.
(2) n can be expressed as a multiple of 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 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 'D'. Can you explain this answer?
Verified Answer
A positive integer n has more than 1 distinct prime factor. Is the pro...
Step 1 & 2: Understand Question and Draw Inference
Step 3 : Analyze Statement 1 independent
1. The number of distinct factors of n, including n, is odd.
  • We are given that (a+1)*(b+1)… = odd. So, all the terms (a+1), (b+1).. should be odd
Now, we don’t need to analyze if the power of other prime factors of n is greater than 1, because as we have analyzed in steps 1&2 that even if one of the prime factors of n has a power greater than 1, then
However, the other prime factors of n will also have an even power greater than 1.
So, b, c …. > 1
Step 4 : Analyze Statement 2 independent
2. n can be expressed as a multiple of 4.
  • As a > 1, the answer to the question is YES
Sufficient to answer.
Step 5: Analyze Both Statements Together (if needed)
As we have a unique answer from steps 3 and 4, this step is not required.
Answer : D
 
 
 
 
 
 
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A positive integer n has more than 1 distinct prime factor. Is the product of the prime factors of n less than n?(1) The number of distinct factors of n, including n, is odd.(2) n can be expressed as a multiple of 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 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 to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?
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A positive integer n has more than 1 distinct prime factor. Is the product of the prime factors of n less than n?(1) The number of distinct factors of n, including n, is odd.(2) n can be expressed as a multiple of 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 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 to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. 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 A positive integer n has more than 1 distinct prime factor. Is the product of the prime factors of n less than n?(1) The number of distinct factors of n, including n, is odd.(2) n can be expressed as a multiple of 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 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 to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive integer n has more than 1 distinct prime factor. Is the product of the prime factors of n less than n?(1) The number of distinct factors of n, including n, is odd.(2) n can be expressed as a multiple of 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 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 to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?.
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