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#4001 2015-09-09 16:53:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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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#4002 2015-09-09 22:01:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

#2490. A certain sum of money amoumts to $1008 in 2 years and to $1164 in

years. Find the sum and rate of interest.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4003 2015-09-10 00:34:28

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4004 2015-09-10 12:31:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4005 2015-09-10 20:44:38

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4006 2015-09-10 21:36:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

The solution #2490 is perfect! Good work!

#2491. Five years hence, father's age will be three times the age of his son. Five years ago, father was seven times as old as his son. Find their present ages.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4007 2015-09-10 21:43:44

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: Oral puzzles

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#4008 2015-09-10 21:59:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi zetafunc,

The solution #2491 is correct! Good work!

#2492. Solve :


where


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4009 2015-09-10 22:05:16

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: Oral puzzles

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#4010 2015-09-10 22:38:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4011 2015-09-11 01:04:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi zetafunc and bobbym,

The solution #2492 is correct! Brilliant, zetafun and bobbym!

#2493. If

, find the value of
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4012 2015-09-11 01:12:49

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: Oral puzzles

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#4013 2015-09-11 02:41:56

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4014 2015-09-11 09:14:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi zetafunc and bobbym,

The solution #2493 (1/6) is correct (in my opinion, working).

Excellent, bobbym!

If required, I shall post the complete solution, zetafunc!

#2494. The inner circumference of a circular track is 220 meters. The track is 7 meters wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of $2 per meter.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4015 2015-09-12 23:01:57

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4016 2015-09-13 00:27:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

The soluton #2494 s correct! Immaculate!

#2495. For what value of 'k' will the following system of linear has no solution?
3x + y = 1.
(2k - 1)x + (k - 1)y = 2k + 1.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4017 2015-09-13 18:36:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4018 2015-09-13 19:12:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

The solution #2495 is correct! Remarkable!

#2496. A person can row a boat at the rate of 5 kilometers per hour in still water. He takes thrice as much time in going 40 kilometers upstream as in going 40 kilometers downstream. Find the speed of the stream.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#4019 2015-09-14 02:40:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4020 2015-09-14 17:45:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

The solution  #2496 is correct! Neat work!

#2497. If

are the zeroes of the polynomial
, form a quadratic polynomial whose zeroes are
and
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#4021 2015-09-14 21:20:52

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: Oral puzzles

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#4022 2015-09-14 21:47:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4023 2015-09-15 12:52:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi zetafunc and bobbym,

The solution #2497 is correct! Neat work, zetafunc and bobbym!

#2498. Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9 centimeters.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#4024 2015-09-15 21:51:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


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

#4025 2015-09-15 23:04:00

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Oral puzzles

Hi bobbym,

The solution #2498 is perfect! Brilliant, bobbym!

#2499. A fraction s such that if the numerator is multiplied by 3 and the denominator is reduced by 3, we get 18/11, but if the numerator is increased by 8 and the denominator is doubled, we get 2/5. Find the fraction.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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