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#1 2016-06-29 12:05:21
- Mathegocart
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- Registered: 2012-04-29
- Posts: 2,226
Mathematical Continential problems
Hello people, could anyone help me with these problems?
2) If the 1st day of a certain month is a Monday, then the xth day cannot fall on a Monday. Find x.
3) Find the smallest sum of consecutive numbers that the sum of the divisors are the SAME
My thoughts: None of the two can be prime. semi-brute forcing it led me to no avail.
12) Marcie has 3 sets of lights, One stays lit for 11 secs and goes off for 1 second, a 2nd light stays lit for 7 secs and goes off for 1 second.A 3rd light stays lit for 4 secs and goes off for 1 sec,
If they are all lit together, beginning the lit cycle, how many seconds will it be until ALL 3 turn off?
15) There are 5 boys who play checkers. Each boy played 4 games of checkers against the other boys. How many games are played altogether?
18) Michelle and Audrey begin walking at noon. Michelle walks from P to Q, back and forth at a constant speed of 3mph. Audrey walks from Q to P, at 2mph, back and forth at a constant speed. They meet each other for the first time at 1 PM. When will they be at POINT Q at the same time?
[---]---]---]---]--]
^ 5 miles, each segment is 1 mile.
19) A clock shows 3 or 4 digits at a time. What time is it when the digits have the same sum?
20) How many multiples of 7 are between 250 and 500
21) A = 1,2,3,4,5
B= 6,9,11,16
How many different way to choose exactly one number from both sets A and B that one is prime and the other is a perfect square?
1 is not a prime.
Last edited by Mathegocart (2016-06-29 12:10:51)
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#2 2016-06-29 12:26:16
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
Hi;
3) Find the smallest sum of consecutive numbers that the sum of the divisors are the SAME.
12) Marcie has 3 sets of lights, One stays lit for 11 secs and goes off for 1 second, a 2nd light stays lit for 7 secs and goes off for 1 second.A 3rd light stays lit for 4 secs and goes off for 1 sec,
If they are all lit together, beginning the lit cycle, how many seconds will it be until ALL 3 turn off?
15) There are 5 boys who play checkers. Each boy played 4 games of checkers against the other boys. How many games are played altogether?
19) A clock shows 3 or 4 digits at a time. What time is it when the digits have the same sum?
Same sum as what?
20) How many multiples of 7 are between 250 and 500?
21)
A = 1,2,3,4,5
B= 6,9,11,16
How many different way to choose exactly one number from both sets A and B that one is prime and the other is a perfect square?
1 is not a prime.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2016-06-29 16:24:18
- thickhead
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- Registered: 2016-04-16
- Posts: 1,086
Re: Mathematical Continential problems
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#4 2016-06-29 23:38:07
- Mathegocart
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- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
Hi;
3) Find the smallest sum of consecutive numbers that the sum of the divisors are the SAME.
12) Marcie has 3 sets of lights, One stays lit for 11 secs and goes off for 1 second, a 2nd light stays lit for 7 secs and goes off for 1 second.A 3rd light stays lit for 4 secs and goes off for 1 sec,
If they are all lit together, beginning the lit cycle, how many seconds will it be until ALL 3 turn off?15) There are 5 boys who play checkers. Each boy played 4 games of checkers against the other boys. How many games are played altogether?
19) A clock shows 3 or 4 digits at a time. What time is it when the digits have the same sum?
Same sum as what?
20) How many multiples of 7 are between 250 and 500?
21)
A = 1,2,3,4,5
B= 6,9,11,16
How many different way to choose exactly one number from both sets A and B that one is prime and the other is a perfect square?
1 is not a prime.
Sorry bobbym, I meant for 19, the largest sum.
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#5 2016-06-30 01:56:42
- Mathegocart
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- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
I have both 15 or 16 as choices.
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#6 2016-06-30 02:24:02
- thickhead
- Member
- Registered: 2016-04-16
- Posts: 1,086
Re: Mathematical Continential problems
(2) 8 and 9 will do? I have assumed the SAME means equal. If you mean consecutive then it is different.
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#7 2016-06-30 02:41:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
18) Michelle and Audrey begin walking at noon. Michelle walks from P to Q, back and forth at a constant speed of 3mph. Audrey walks from Q to P, at 2mph, back and forth at a constant speed. They meet each other for the first time at 1 PM. When will they be at POINT Q at the same time?
[---]---]---]---]--]
^ 5 miles, each segment is 1 mile.
How about a bit of clarification on the motion of these two people? Please tell me where Aubrey will be after two hours. Is she back at one or is she at four?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#8 2016-06-30 02:57:49
- thickhead
- Member
- Registered: 2016-04-16
- Posts: 1,086
Re: Mathematical Continential problems
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#9 2016-06-30 08:16:05
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
(2) 8 and 9 will do? I have assumed the SAME means equal. If you mean consecutive then it is different.
I meant this
2) If the 1st day of a certain month is a Monday, then the xth day cannot fall on a Monday. Find x.
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#10 2016-06-30 08:58:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
Did you check my answers yet?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#11 2016-06-30 10:01:59
- Mathegocart
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- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
Did you check my answers yet?
Yes, they seem to be all correct. How did you solve no12?
Last edited by Mathegocart (2016-06-30 10:02:21)
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#12 2016-06-30 10:15:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
LCM[8,5,12] = 120 is the way for those that have faith in math. I do not unless it is backed up programming or some other EM way. So, I programmed it first and then looked around for a math solution.
Now how about Aubrey and Michelle?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2016-06-30 10:22:57
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
Offline
#14 2016-06-30 10:35:57
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
A picture is worth 1000 words - pappym
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#15 2016-06-30 10:39:40
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Mathematical Continential problems
A picture is worth 1000 words - pappym
Yes your father taught you much wisdom that must be used greatly.
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
Offline
#16 2016-06-30 10:48:42
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mathematical Continential problems
His favorite was, "what is there to eat." I now realize that I am hungry, see you later.
18) Michelle and Audrey begin walking at noon. Michelle walks from P to Q, back and forth at a constant speed of 3mph. Audrey walks from Q to P, at 2mph, back and forth at a constant speed. They meet each other for the first time at 1 PM. When will they be at POINT Q at the same time?
[---]---]---]---]--]
^ 5 miles, each segment is 1 mile.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#17 2016-06-30 14:42:48
- thickhead
- Member
- Registered: 2016-04-16
- Posts: 1,086
Re: Mathematical Continential problems
I meant answer for Q(3) not (2)
Last edited by thickhead (2016-06-30 18:47:27)
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#18 2016-07-01 02:49:59
- thickhead
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- Registered: 2016-04-16
- Posts: 1,086
Re: Mathematical Continential problems
(3) 8 and 9
8=4*2 4+2=6
9=3*3 3+3=6
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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