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1. A publisher produces magazines, all of which have a number of pages which is a multiple
of 32. Thus, a magazine can have 32, 64, 96....... pages. The front cover is always
counted as page 1.
The centre spread of the magazine could have pages numbered
A 15 and 16.
B 30 and 31.
C 50 and 51.
D 63 and 64.
E 96 and 97.

how would i go about solving this, find all the middle spread numbers of the various multiples?

ta,jb
2. well first of all the centre two pages will be even-odd so you can eliminate A and D
3. (Original post by jumblebumble)
A publisher produces magazines, all of which have a number of pages which is a multiple
of 32. Thus, a magazine can have 32, 64, 96....... pages. The front cover is always
counted as page 1.
The centre spread of the magazine could have pages numbered
A 15 and 16.
B 30 and 31.
C 50 and 51.
D 63 and 64.
E 96 and 97.

how would i go about solving this, find all the middle spread numbers of the various multiples?

ta,jb
Couldn't you just say:

Total number of pages = 32n, for some integer n.
Hence you can express the middle page numbers in terms of n.
This will give you an easy way of checking each of the answers for the right one. If I've got the right sort of idea, anyway.

Hint

So middle pages are numbers 16n & (16n + 1), the 'plus one' arising because pages 1 through to 16n comprise 16n pages, then there must be the page opposite the 16nth one.

Of course, it depends on how the magazine-makers number the pages.
4. any left-hand page will be even, so in the centre we have even-odd, meaning you ony need to consider B, C and E.
If there are 10 pages on the left of the centrefold, there are 10 pages on the right. If there are 9001 pages on the left, there are 9001 on the right.
what number must the left hand page in the middle be multiple of?
that make it easier?
5. (Original post by jumblebumble)
A publisher produces magazines, all of which have a number of pages which is a multiple
of 32. Thus, a magazine can have 32, 64, 96....... pages. The front cover is always
counted as page 1.
The centre spread of the magazine could have pages numbered
A 15 and 16.
B 30 and 31.
C 50 and 51.
D 63 and 64.
E 96 and 97.

how would i go about solving this, find all the middle spread numbers of the various multiples?

ta,jb
The only one from the list that could be centre pages is E (96 and 97). To find the centre pages you find the total number of pages, which have to be a multiple of 32, so call it 32n, the centre pages are found by 32n/2 and (32n/2) + 1.

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