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12 Apr 2018, 11:26
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C
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Difficulty:
25%
(medium)
Question Stats:
79% (02:18) correct
21%
(02:35)
wrong
based on 330
sessions
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Positive integer x and 18 are both multiples of positive integer n. If n > 1, which of the following is a possible value for 18 + x ?
a. 41
b. 67
c. 99
d. 103
e. 125
a. 41
b. 67
c. 99
d. 103
e. 125
12 Apr 2018, 20:58
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QZ
Positive integer x and 18 are both multiples of positive integer n. If n > 1, which of the following is a possible value for 18 + x ?
a. 41
b. 67
c. 99
d. 103
e. 125
a. 41
b. 67
c. 99
d. 103
e. 125
18 has two prime numbers in it - 2 & 3
So n has to be MULTIPLE of atleast one of 2 and 3..
And since x is MULTIPLE of n, x will also be MULTIPLE of 2 or 3 or both.
If x is MULTIPLE of 2, x+18 will be EVEN...
But choices do not contain any even integer, so out
If x is MULTIPLE of 3, x+18 should be a MULTIPLE of 3..
Only 99 in Choices is MULTIPLE of 3
Hence C
12 Apr 2018, 23:39
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QZ
Positive integer x and 18 are both multiples of positive integer n. If n > 1, which of the following is a possible value for 18 + x ?
a. 41
b. 67
c. 99
d. 103
e. 125
a. 41
b. 67
c. 99
d. 103
e. 125
If x and 18 are both multiples of n, then x + 18 must also be a multiple of n. This means that x + 18 must share some common factor with 18 (a factor which is greater than 1). Only 99 satisfies this (41, 67 and 103 are primes, 125 = 5^3 so none of them share any common factor, greater than 1, with 18).
Answer: C.
