Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    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
    Offline

    0
    ReputationRep:
    well first of all the centre two pages will be even-odd so you can eliminate A and D
    Offline

    11
    ReputationRep:
    (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. :yep: If I've got the right sort of idea, anyway. :o:

    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. :p:
    Offline

    0
    ReputationRep:
    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?
    Offline

    10
    ReputationRep:
    (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.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 23, 2010
Poll
Do you think parents should charge rent?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.