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Re: If 1 ≤ n ≤ 100, and n + 7/2 is a multiple of 4 but not a multiple of 3
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05 Feb 2019, 19:44
Given n+7/2 = 4x so n+7=8x Meaning that n+7 is some numbers which can be divided by 8. then N could be an odd number. III. is out.
Try check other numbers. From 8, 16, 24,32 ,40, 48, 56, 64, 72, 80, 88, 96, 104 cut off the numbers which are divided by 3. We will have N+7 as 8, 16,32,40,56,64,80,88,104
If 1 ≤ n ≤ 100, and n + 7/2 is a multiple of 4 but not a multiple of 3
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05 Feb 2019, 22:02
given n+7/2 is a multiple of 4 thus \(4k =\frac{n+7}{2}\) hence n is of form 8k-7 now this expression will never be divisible 4. .... statement III out k can take any number for which n will be prime such as k =3 = 24-7 =17. Hence statement I is possible. 8k-7 can be re-written as\(8k-4-3= 4(2k-1) -3\) this is divisible by 3 for k = 2, Hence statement II is possible.
Thus only I and II statements are possible. Thus option D
gmatclubot
If 1 ≤ n ≤ 100, and n + 7/2 is a multiple of 4 but not a multiple of 3
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05 Feb 2019, 22:02
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47% (02:22) correct 
