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 Post subject: Help PlsPosted: Tue Sep 04, 2012 12:58 pm

Joined: Fri Jun 22, 2012 11:45 pm
Posts: 19
Pls how do I solve these questions from Manchester Grammar School 2005.

Q38) One year, September 1st fell on a Friday. What was the next month which started on a Friday?

Q39) In the sequence of numbers 1, 2, 4, 8, 16, 32 .......what would be the answer if you divided the 20th number by the 17th number in this sequence?

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 1:15 pm

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8082
Cozen wrote:
Pls how do I solve these questions from Manchester Grammar School 2005.

Q38) One year, September 1st fell on a Friday. What was the next month which started on a Friday?

December ... not sure what you do if you work it out !! but Sept and Dec always start on the same day of the week.

Quote:
Q39) In the sequence of numbers 1, 2, 4, 8, 16, 32 .......what would be the answer if you divided the 20th number by the 17th number in this sequence?

Answer is 8 ... the sequence doubles each time, so the 18th divide by 17th would be 2 19th by 17th would 4 and 20th by 17th would be 8...

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 1:29 pm

Joined: Fri Jun 22, 2012 11:45 pm
Posts: 19
Thanks alot. I sometimes complicate things. thought DS needed to solve Q39 by finding the "nth term".

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 1:34 pm

Joined: Mon Aug 22, 2011 8:20 pm
Posts: 1706
Location: Warwickshire
Cozen wrote:
Q38) One year, September 1st fell on a Friday. What was the next month which started on a Friday?
September = 30 days Divisible by 7 - NO
September+October = 61 days Divisible by 7 - NO
September+October+November = 91 days Divisible by 7 - YES

The next month is December.

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 4:24 pm

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3804
The easiest worhrd solution to the first problem is to look at remainders after taking off four weeks.

September 2 days
October 3 days
November 2 days
This makes the extra week needed.

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 5:18 pm

Joined: Thu May 10, 2012 8:30 am
Posts: 247
Cozen wrote:
Thanks alot. I sometimes complicate things. thought DS needed to solve Q39 by finding the "nth term".

1048576 / 131072 = 8 might be a bit tedious to do by hand.

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 Post subject: Re: Help PlsPosted: Tue Sep 04, 2012 5:49 pm

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8082
daveg wrote:
Cozen wrote:
Thanks alot. I sometimes complicate things. thought DS needed to solve Q39 by finding the "nth term".

1048576 / 131072 = 8 might be a bit tedious to do by hand.

you don't need to do such a sum as it is the relationship between any number in the series and the next or any subsequent numbers. Get the same answer if you look at the 80th divided by the 77th.

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 Post subject: Re: Help PlsPosted: Sat Sep 08, 2012 2:07 pm

Joined: Sat Sep 08, 2012 10:41 am
Posts: 7
nth term is 2^(n-1) therefore

20th term is 2^19
17th term is 2^16

2^19 / 2^16 = 2^(19-16) = 2^3 = 8

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 Post subject: Re: Help PlsPosted: Fri Sep 28, 2012 4:56 pm

Joined: Sat Dec 10, 2011 4:47 pm
Posts: 103
Can anyone explain how to work out Q12??

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 Post subject: Re: Help PlsPosted: Fri Sep 28, 2012 4:58 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11712
What is the question?

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