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If k is a positive integer. Is k a prime number??
1) No integers between "2" and "square root of k" inclusive divides k evenly
2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If k is a positive integer. Is ka prime number??1) No integers between...
Statement 1:
Property of a prime number: k is a prime number if no integer between 2 and square root of k (inclusive) is a factor of k.
Sufficient
Statement 2:
k/2 >= sqrt(k)
So it satisfies the above-mentioned property.
Sufficient
Most Upvoted Answer
If k is a positive integer. Is ka prime number??1) No integers between...
K and ka are divisible by any integer greater than 1.
This statement alone is not sufficient to determine whether ka is a prime number or not. It only tells us that there are no integers between k and ka that are divisible by any integer greater than 1, but it does not rule out the possibility that ka itself is divisible by a prime number.
For example, if k = 2 and a = 3, then there are no integers between 2 and 6 (which is ka) that are divisible by any integer greater than 1. However, 6 is not a prime number since it is divisible by 2 and 3.
2) k is a prime number.
This statement alone is also not sufficient to determine whether ka is a prime number or not. It only tells us that k is a prime number, but it does not provide any information about the divisibility of ka.
For example, if k = 7 and a = 2, then ka = 14, which is not a prime number since it is divisible by 2.
Combining both statements, we still cannot determine whether ka is a prime number or not. The first statement tells us that there are no integers between k and ka that are divisible by any integer greater than 1, but it does not rule out the possibility that ka itself is divisible by a prime number. The second statement tells us that k is a prime number, but it does not provide any information about the divisibility of ka. Therefore, the answer is (E) - both statements together are insufficient to answer the question.
This statement alone is not sufficient to determine whether ka is a prime number or not. It only tells us that there are no integers between k and ka that are divisible by any integer greater than 1, but it does not rule out the possibility that ka itself is divisible by a prime number.
For example, if k = 2 and a = 3, then there are no integers between 2 and 6 (which is ka) that are divisible by any integer greater than 1. However, 6 is not a prime number since it is divisible by 2 and 3.
2) k is a prime number.
This statement alone is also not sufficient to determine whether ka is a prime number or not. It only tells us that k is a prime number, but it does not provide any information about the divisibility of ka.
For example, if k = 7 and a = 2, then ka = 14, which is not a prime number since it is divisible by 2.
Combining both statements, we still cannot determine whether ka is a prime number or not. The first statement tells us that there are no integers between k and ka that are divisible by any integer greater than 1, but it does not rule out the possibility that ka itself is divisible by a prime number. The second statement tells us that k is a prime number, but it does not provide any information about the divisibility of ka. Therefore, the answer is (E) - both statements together are insufficient to answer the question.
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If k is a positive integer. Is ka prime number??1) No integers between...
But 2 is not inclusive, k can be 4 and k can be 3 as per this statement…
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If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer?
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If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. 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 k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. 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 k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer?.
If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. 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 k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. 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 k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer?.
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If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If k is a positive integer. Is ka prime number??1) No integers between "2" and "square root of k" inclusive divides k evenly2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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