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05 Sep 2022, 05:23
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C
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:
72% (01:54) correct
28%
(02:00)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
When n is divided by 9, the result is an integer, and when 441 is divided by n, the result is an integer. If 9 < n < 441, what is the value of n?
(A) 147
(B) 121
(C) 63
(D) 49
(E) 27
(A) 147
(B) 121
(C) 63
(D) 49
(E) 27
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05 Sep 2022, 08:02
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When n is divided by 9, the result is an integer: From this using the divisibility rule for 9, which is that 9 will divide any number whose digits sum to a number divisible by 9. This leaves only answer choices C and E
Prime factorising \(441\) will yield: \(3^2*7^2\)
Prime factorisng answer choice C: \(63 = 3^2*7\) which will divide \(3^2*7^2\) and give \(7\).
Prime factorising answer choice E: \(27 = 3^3\) which cannot divide \(3^2*7^2\).
Answer C
Prime factorising \(441\) will yield: \(3^2*7^2\)
Prime factorisng answer choice C: \(63 = 3^2*7\) which will divide \(3^2*7^2\) and give \(7\).
Prime factorising answer choice E: \(27 = 3^3\) which cannot divide \(3^2*7^2\).
Answer C
Archit3110
Major Poster
05 Sep 2022, 09:33
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given
When n is divided by 9, the result is an integer, and when 441 is divided by n, the result is an integer. If 9 < n < 441, what is the value of n
9 = 3^2
441 = 3^2 * 7^2
n has to be factor of 9 & 7
option C 63 suffices condition
When n is divided by 9, the result is an integer, and when 441 is divided by n, the result is an integer. If 9 < n < 441, what is the value of n
9 = 3^2
441 = 3^2 * 7^2
n has to be factor of 9 & 7
option C 63 suffices condition
carcass
