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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?
1) When n is divided by 2, the remainder is 0. ?
2) When n is divided by 3, the remainder is 0. ?
- 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 'A'. Can you explain this answer?
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Most Upvoted Answer
When 15n, where n is a positive integer, is divided by 6, the remainde...
To find the value of x, we need to determine the remainder when 15n is divided by 6.
Statement 1: When n is divided by 2, the remainder is 0.
This means n is an even number, and we can write it as n = 2k, where k is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(2k) = 30k.
Dividing 30k by 6 gives us a remainder of 0, so x = 0.
Statement 1 alone is sufficient to answer the question.
Statement 2: When n is divided by 3, the remainder is 0.
This means n is a multiple of 3, and we can write it as n = 3m, where m is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(3m) = 45m.
Dividing 45m by 6 gives us a remainder of 3, so x = 3.
Statement 2 alone is not sufficient to answer the question.
Combining both statements, we know that n is both even and a multiple of 3, so it must be a multiple of 6 (since 6 is the least common multiple of 2 and 3).
Therefore, we can write n = 6p, where p is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(6p) = 90p.
Dividing 90p by 6 gives us a remainder of 0, so x = 0.
Both statements together are also sufficient to answer the question.
Therefore, the correct answer is option A: Exactly one of the statements can answer the question.
Statement 1: When n is divided by 2, the remainder is 0.
This means n is an even number, and we can write it as n = 2k, where k is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(2k) = 30k.
Dividing 30k by 6 gives us a remainder of 0, so x = 0.
Statement 1 alone is sufficient to answer the question.
Statement 2: When n is divided by 3, the remainder is 0.
This means n is a multiple of 3, and we can write it as n = 3m, where m is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(3m) = 45m.
Dividing 45m by 6 gives us a remainder of 3, so x = 3.
Statement 2 alone is not sufficient to answer the question.
Combining both statements, we know that n is both even and a multiple of 3, so it must be a multiple of 6 (since 6 is the least common multiple of 2 and 3).
Therefore, we can write n = 6p, where p is a positive integer.
Substituting this into the expression 15n, we get 15n = 15(6p) = 90p.
Dividing 90p by 6 gives us a remainder of 0, so x = 0.
Both statements together are also sufficient to answer the question.
Therefore, the correct answer is option A: Exactly one of the statements can answer the question.
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Community Answer
When 15n, where n is a positive integer, is divided by 6, the remainde...
Taking only 1) n would be an even positive integer(2,4,6...) and hence 15n would always be divisible by 6 i.e. remainder would be 0. Therefore Sufficient
Taking only 2) n would be a multiple of 3(3,6,9...) and thus if n =3 then 15n is 45 and remainder is 3, but if n=6, then 15n is 90 and remainder is 0. Thus, not Sufficient.
Taking only 2) n would be a multiple of 3(3,6,9...) and thus if n =3 then 15n is 45 and remainder is 3, but if n=6, then 15n is 90 and remainder is 0. Thus, not Sufficient.
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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer?
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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. 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 When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer?.
When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. 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 When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer?.
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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer?, a detailed solution for When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer? has been provided alongside types of When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?1) When n is divided by 2, the remainder is 0. ?2) When n is divided by 3, the remainder is 0. ?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 'A'. Can you explain this answer? theory, EduRev gives you an
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