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If the integer x is divisible by 3 but not by 2, then which one of the
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13 Jun 2017, 09:54
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If the integer x is divisible by 3 but not by 2, then which one of the
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13 Jun 2017, 10:01
Bunuel wrote: If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?
(A) (x + 1)/2 (B) x/7 (C) x^2/3 (D) x^3/3 (E) x/24 Odd divided by even is never an integer. Let x = 3 (A) \(\frac{(x + 1)}{2} = \frac{(3 + 1)}{2} = \frac{4}{2} = 2\) (B)\(\frac{x}{7} = \frac{3}{7}\)  Not integer (C) \(\frac{{x^2}}{3}\) = \(\frac{3^2}{3} = \frac{9}{3} = 3\) (D) \(\frac{x^3}{3} = \frac{3^3}{3} = \frac{27}{3} = 9\) (E) \(\frac{x}{24} = \frac{3}{24} = \frac{1}{8}\)  Not integer B, C and D eliminated. Let x = 21 (B) \(\frac{x}{7} = \frac{21}{7} = 3\) (E) \(\frac{x}{24} = \frac{21}{24} = \frac{7}{8}\)  Not integer. Answer E...



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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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13 Jun 2017, 10:22
+ E If x is not divisible by 2 then it won't be divisible by 24 either
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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13 Jun 2017, 10:35
Leo8 wrote: + E
If x is not divisible by 2 then it won't be divisible by 24 either Good observation , for the number to be divisible by 24 we must have the numerator as a multiple of both 2 and 3 , which contradicts the statement  Quote: the integer x is divisible by 3 but not by 2 Thus, answer must be (E)
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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18 Jun 2017, 03:06
We are looking for an odd multiple of 3. Evaluating option 3, just take the example of to be 9 9/24 is not an integer. Hence, E
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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18 Jun 2017, 10:26
IMO, E
In this question you are looking for X divided by some even number (or X+1 divided by 3)
B, C, D do not have either of these
A) (X+1)/2 > if our x is divisible by 3 and not 2, then it is odd so (X+1) is always divisible by 2
E) X/24 > 24 is even so this is not possible, and thus is our answer



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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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18 Jun 2017, 13:08
E A) If X is not divisible by 2, it means that it is odd, hence (X+1)/2 is always an integer B) X/7 could be true if the X is 21, 63, 105... C) X^2/3 is always an integer 3^2/3=3 9^2/3=27 etc D) The same logic as in C. 3^3/3=9 E) Will never be an integer as X doesn't contain any even factor(not divisible by 2), while 24 has 3 2s
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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21 Jun 2017, 00:53
for this to hold true, x is an odd multiple of 3
statement 1: x + 1 is even hence divisible by 3  can be an integer statement 2: if x is 21, x/7 is an integer Statement 3: x^2/3 always an integer as x is a multiple of 3, so x^2 is a multiple of 3 Statement 4: same as above, x is a multiple of 3, x^3 is a multiple of 3 hence x^3/3 is an integer
Statement 5 correct answer not an integer as 24 has two even integers and hence x is odd  CAN NEVER BE AN INTEGER



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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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12 Jul 2017, 05:28
Bunuel wrote: If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?
(A) (x + 1)/2 (B) x/7 (C) x^2/3 (D) x^3/3 (E) x/24 x is divisible by 3 and not by 2. So x is odd multiple of 3 so, lets get down to choices to check which one is an integer and which is not. (A) x+1 is even and hence (x+1)/2 = I (B) x/7 may be an integer or may be not. We can't say anything based on the data available with us. (C) x^2 must be a multiple of 3. So, x^2/3 = I (D) x^3 must be a multiple of 3. So, x^3/3 = I (E) 24 = 2*2*2*3 since x is odd multiple of 3. x is not divisible by 24. Hence x/24 is not integer. Answer E.
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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16 Jul 2017, 16:17
Bunuel wrote: If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?
(A) (x + 1)/2 (B) x/7 (C) x^2/3 (D) x^3/3 (E) x/24 Because x is divisible by 3 and not 2, x must be an odd multiple of 3, such as 3 or 9. Since 24 is an even number, x/24 will NEVER be an integer. Answer: E
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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04 Feb 2019, 07:31
Bunuel wrote: If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?
(A) (x + 1)/2 (B) x/7 (C) x^2/3 (D) x^3/3 (E) x/24 x / 3 ! by 2 x = 3 , 9, 15 , 21 x/24, will never give an integer for the present conditions, since it is 12*2 (this goes against the question) E
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Re: If the integer x is divisible by 3 but not by 2, then which one of the
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