Join TSR now and get all your revision questions answeredSign up now
    • Thread Starter
    Offline

    3
    ReputationRep:
    What is the smallest integer (non-zero) such that if you rotate the number to the left you get a number that is exactly one and a half times the original number?

    (To rotate the number left, take the first digit off the front and append it to the end of the number. 3784 rotated to the left is 7843.)
    Offline

    3
    ReputationRep:
    Whas 9 plus 10?
    Answer
    Spoiler:
    Show
    19.Nothing funny here.Move along...
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by economist2)
    Whas 9 plus 10?
    Answer
    Spoiler:
    Show
    19.Nothing funny here.Move along...
    Spoiler:
    Show

    • Study Helper
    Online

    3
    (Original post by lllllllllll)
    What is the smallest integer (non-zero) such that if you rotate the number to the left you get a number that is exactly one and a half times the original number?

    (To rotate the number left, take the first digit off the front and append it to the end of the number. 3784 rotated to the left is 7843.)
    :holmes: I get the same as the online solution - what's the condition they missed out?

    Edit: I see you've changed your post.
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by ghostwalker)
    :holmes: I get the same as the online solution - what's the condition they missed out?

    Edit: I see you've changed your post.
    Mwhahah, yes I did

    Hint
    Spoiler:
    Show


    The original question wants an integer however it doesn't say that we have to use a decimal base 10 numbering system to find the smallest possible integer for which the conditions are true.

    • Study Helper
    Online

    3
    (Original post by lllllllllll)
    Mwhahah, yes I did

    Hint
    Spoiler:
    Show


    The original question wants an integer however it doesn't say that we have to use a decimal base 10 numbering system to find the smallest possible integer for which the conditions are true.

    lol!
    Offline

    3
    ReputationRep:
    Wow, this is one large number

    Spoiler:
    Show
    1176470588235294
    • Study Helper
    Online

    3
    (Original post by lllllllllll)
    Mwhahah, yes I did

    Hint
    Spoiler:
    Show


    The original question wants an integer however it doesn't say that we have to use a decimal base 10 numbering system to find the smallest possible integer for which the conditions are true.

    Spoiler:
    Show


    12_4
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by ghostwalker)
    Spoiler:
    Show


    12_4
    (Original post by Renzhi10122)
    Wow, this is one large number
    Spoiler:
    Show
    1176470588235294
    It's what I was thinking as well, ie if we work in binary to base-4 we can have an integer such that one-and-a-half of 12 = 21 which still answers the question correctly and it's the smallest since we can't go lower than 1s and 2s. Just wanted to see what other's thought of the idea

    Yep, we get 1176470588235294 if we work in binary to base-10 which is really difficult to work with given that the number 10 has hardly any useful factors except from 2 and 1
 
 
 
Poll
How are you feeling about your A-level results?
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

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