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28 Aug 2024, 10:50
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (00:37) correct
20% (02:31) wrong based on 5 sessions
History
Date
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When the positive integer n is divided by 45, the remainder is 18. Which of the following must be a divisor of n ?
A. 11
B. 9
C. 7
D. 6
E. 4
A. 11
B. 9
C. 7
D. 6
E. 4
08 Sep 2024, 01:04
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When the positive integer n is divided by 45, the remainder is 18. Which of the following must be a divisor of n ?
A. 11
B. 9
C. 7
D. 6
E. 4
n = 45q+18 - remainder equation
n = 18, 63, 108.. (18, 18+45....)
Divisor of n is factor of n or number that completely divides n
Basis the options we can go ahead and see 9 is divisible by all
When the positive integer n is divided by 45, the remainder is 18. Which of the following must be a divisor of n ?
A. 11
B. 9
C. 7
D. 6
E. 4
n = 45q+18 - remainder equation
n = 18, 63, 108.. (18, 18+45....)
Divisor of n is factor of n or number that completely divides n
Basis the options we can go ahead and see 9 is divisible by all
26 Oct 2024, 10:15
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Bookmarks
OE
The given information tells you that n can be expressed in the form n = 45k + 18, where k can be any nonnegative integer. Consider how the divisors of 45 and 18 may be related to the divisors of n. Every common divisor of 45 and 18 is also a divisor of any sum of multiples of 45 and 18, like 45k + 18. So any common divisor of 45 and 18 is also a divisor of n. Of the answer choices given, only 9 is a common divisor of 45 and 18. Thus the correct answer is Choice B.
The given information tells you that n can be expressed in the form n = 45k + 18, where k can be any nonnegative integer. Consider how the divisors of 45 and 18 may be related to the divisors of n. Every common divisor of 45 and 18 is also a divisor of any sum of multiples of 45 and 18, like 45k + 18. So any common divisor of 45 and 18 is also a divisor of n. Of the answer choices given, only 9 is a common divisor of 45 and 18. Thus the correct answer is Choice B.
