Help Pls

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Cozen
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Help Pls

Post by Cozen »

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?
hermanmunster
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Re: Help Pls

Post by hermanmunster »

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.
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...
Cozen
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Re: Help Pls

Post by Cozen »

Thanks alot. I sometimes complicate things. thought DS needed to solve Q39 by finding the "nth term".
Okanagan
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Re: Help Pls

Post by Okanagan »

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.
moved
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Re: Help Pls

Post by moved »

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.
daveg
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Re: Help Pls

Post by daveg »

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.
hermanmunster
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Re: Help Pls

Post by hermanmunster »

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.
Len Scap
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Joined: Sat Sep 08, 2012 11:41 am

Re: Help Pls

Post by Len Scap »

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
RAB321
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Re: Help Pls

Post by RAB321 »

Can anyone explain how to work out Q12??
Guest55
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Re: Help Pls

Post by Guest55 »

What is the question?
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