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p is a positive integer greater than 100. Is p divisible by 36?
(1) There are 8 positive integers, including 1 and p, which divide p.
(2) The highest positive integer less than or equal to 100 that divides p is 75.
(1) There are 8 positive integers, including 1 and p, which divide p.
(2) The highest positive integer less than or equal to 100 that divides p is 75.
- 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?
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Verified Answer
p is a positive integer greater than 100. Is p divisible by 36?(1) The...
Step 1 & 2: Understand Question and Draw Inference
The question tells us about a positive integer p greater than 100. It asks us to find if p is divisible by 36
Let’s first analyze the information given in the question statement.
36 = 22 * 32 . For p to be divisible by 36, p should have at least 2 and 3 in it.
Also, since 36 has (2+1) (2+1) = 3 *3 = 9 factors, p should have a minimum of 9 factors.
With the above understanding, let’s see the information provided in the statements.
Let’s first analyze the information given in the question statement.
36 = 22 * 32 . For p to be divisible by 36, p should have at least 2 and 3 in it.
Also, since 36 has (2+1) (2+1) = 3 *3 = 9 factors, p should have a minimum of 9 factors.
With the above understanding, let’s see the information provided in the statements.
Step 3 : Analyze Statement 1 independent
1. There are 8 positive integers, including 1 and p, which divide p Statement-1 tells us that p has a total of 8 number of factors. We know that for p to be divisible by 36, it should have a minimum of 9 factors. As p has less than 9 factors, p is definitely not divisible by 36.
Hence statement-1 is sufficient to answer the question.
Hence statement-1 is sufficient to answer the question.
Step 4 : Analyze Statement 2 independent
2. The highest positive integer less than or equal to 100 that divides p is 75.
Statement-2 tells us that 75 is the highest integer less than equal to 100 which divides p.
75 = 52* 3. Had p been divisible by 36, p should also have contained at least 2 and 3 .
Statement-2 tells us that 75 is the highest integer less than equal to 100 which divides p.
75 = 52* 3. Had p been divisible by 36, p should also have contained at least 2 and 3 .
So, p would have at least 2 , 3 and 5 in it. With this combination of the prime factors and their powers, the highest integer less than equal to 100 which divides p should have been 5 * 2 = 100. As 75 is the highest integer less than equal to 100 which divides p, we can say that p does not contain 22 . So p is definitely not divisible by 36.
Hence statement-2 is sufficient to answer the question.
Hence statement-2 is sufficient to answer the question.
Step 5: Analyze Both Statements Together (if needed)
Since we have a unique answer from steps 3 and 4, this step is not required.
Answer: D
Answer: D
Most Upvoted Answer
p is a positive integer greater than 100. Is p divisible by 36?(1) The...
Given:
- p is a positive integer greater than 100.
To find:
- Is p divisible by 36?
Statement 1:
- There are 8 positive integers, including 1 and p, which divide p.
Statement 2:
- The highest positive integer less than or equal to 100 that divides p is 75.
Approach:
- We need to determine whether p is divisible by 36 or not.
- We will evaluate each statement separately and then combine the information to determine the sufficiency.
Statement 1:
- There are 8 positive integers, including 1 and p, which divide p.
- This implies that p has at least 8 factors.
- However, we do not have information about the specific factors or their values.
- For example, p could have factors such as 2, 3, 4, 6, 9, 12, 18, and p.
- We cannot determine if p is divisible by 36 based on this statement alone.
- Statement 1 is not sufficient.
Statement 2:
- The highest positive integer less than or equal to 100 that divides p is 75.
- This statement tells us that p is divisible by 75, but it does not provide any information about divisibility by 36.
- For example, p could be 75, 150, 225, etc. which are divisible by 75 but not necessarily by 36.
- Statement 2 is not sufficient.
Combining Statements 1 and 2:
- From statement 1, we know that p has at least 8 factors.
- From statement 2, we know that the highest factor of p less than or equal to 100 is 75.
- The common factors of 75 and 36 are 1, 3, and 9.
- If p has these common factors, it will be divisible by both 75 and 36.
- However, we do not have information about the specific factors of p.
- Therefore, combining the statements does not provide sufficient information to determine whether p is divisible by 36 or not.
Conclusion:
- Neither statement alone is sufficient to answer the question.
- The correct answer is option (E) - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem is needed.
- p is a positive integer greater than 100.
To find:
- Is p divisible by 36?
Statement 1:
- There are 8 positive integers, including 1 and p, which divide p.
Statement 2:
- The highest positive integer less than or equal to 100 that divides p is 75.
Approach:
- We need to determine whether p is divisible by 36 or not.
- We will evaluate each statement separately and then combine the information to determine the sufficiency.
Statement 1:
- There are 8 positive integers, including 1 and p, which divide p.
- This implies that p has at least 8 factors.
- However, we do not have information about the specific factors or their values.
- For example, p could have factors such as 2, 3, 4, 6, 9, 12, 18, and p.
- We cannot determine if p is divisible by 36 based on this statement alone.
- Statement 1 is not sufficient.
Statement 2:
- The highest positive integer less than or equal to 100 that divides p is 75.
- This statement tells us that p is divisible by 75, but it does not provide any information about divisibility by 36.
- For example, p could be 75, 150, 225, etc. which are divisible by 75 but not necessarily by 36.
- Statement 2 is not sufficient.
Combining Statements 1 and 2:
- From statement 1, we know that p has at least 8 factors.
- From statement 2, we know that the highest factor of p less than or equal to 100 is 75.
- The common factors of 75 and 36 are 1, 3, and 9.
- If p has these common factors, it will be divisible by both 75 and 36.
- However, we do not have information about the specific factors of p.
- Therefore, combining the statements does not provide sufficient information to determine whether p is divisible by 36 or not.
Conclusion:
- Neither statement alone is sufficient to answer the question.
- The correct answer is option (E) - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem is needed.
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p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer?
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p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. 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 p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer?.
p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. 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 p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer?.
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p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer?, a detailed solution for p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer? has been provided alongside types of p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice p is a positive integer greater than 100. Is p divisible by 36?(1) There are 8 positive integers, including 1 and p, which divide p.(2) The highest positive integer less than or equal to 100 that divides p is 75.a)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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