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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, 14:08
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, 01:53
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
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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