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#4451 2016-02-07 18:13:09

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hello

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#4452 2016-02-08 16:12:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym and Relentless,

The two solutions in #2719 are correct! Splendid!

#2720. Solve:

.


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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#4453 2016-02-08 16:20:38

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hey!

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#4454 2016-02-08 17:46:06

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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#4455 2016-02-09 16:07:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Relentless and bobbym,

The two solutions in #2720 are correct! Magnificent!

#2721. The sum of the squares of two consecutive odd positive integers is 394. Find them.


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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#4456 2016-02-09 16:34:00

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Oral puzzles

Last edited by Monox D. I-Fly (2016-02-09 16:34:34)


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#4457 2016-02-09 17:09:52

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hey,

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#4458 2016-02-09 17:43:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Monox D. I-Fly and Relentless,

The solution #2721 is correct! Neat work!

#2722. The sum of a number and its square is 63/4, find the numbers.


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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#4459 2016-02-09 19:04:42

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

#4460 2016-02-09 19:34:19

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hello;

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#4461 2016-02-10 16:26:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Relentless and bobbym,

The solutions in #2722 are correct! Excellent!

#2723. Find the consecutive even integers whose square have the sum 340.

#2724. The difference of two numbers is 4. If the difference of their reciprocals is 4/21, find the numbers.


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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#4462 2016-02-10 17:43:39

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hey!

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#4463 2016-02-10 18:35:29

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

#4464 2016-02-11 18:10:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Relentless and bobbym,

The solutions, #2723 and #2724, are correct! Excellent, Relentless and bobbym!

#2725. Evaluate :

.

#2726. Evaluate :

.


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

#4465 2016-02-11 18:23:25

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

#4466 2016-02-11 23:39:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The solutions #2725 and #2726 are correct! Excellent!

#2727. A bag contains 3 red balls, 5 black balls, and 4 white balls. A balls is drawn at random from the bag. What is the probability that the ball drawn is
(i) white?
(ii) red?
(iii) black?
(iv) not red?


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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#4467 2016-02-12 00:00:30

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hello;

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#4468 2016-02-12 00:35:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Relentless,

The solution #2727 (four parts) are correct! Marvelous!

#2728. Find the values of 'k' for which the roots are real and equal in each of the following equations:


.


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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#4469 2016-02-12 04:44:21

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

#4470 2016-02-12 17:59:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The solutions, #2727 and #2728, are correct! Marvelous!

#2729. The Greatest Common Divisor of two numbers is 16 and their product is 3072. Find the Least Common Multiple.

#2730. The Greatest Common Divisor of two numbers is 145 and their Least Common Multiple is 2175. If one number is 725, find the other.


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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#4471 2016-02-13 02:02:41

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Oral puzzles

Hello,

Last edited by Relentless (2016-02-13 02:16:26)

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#4472 2016-02-13 03:07:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi Relentless,

Both the solutions, #2729 and #2730, are correct! Excellent!

#2731. If

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

#2732. If

are the zeroes of the quadratic polynomial
, find 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

#4473 2016-02-13 04:25:09

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

#4474 2016-02-13 15:33:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The solutions, #2731 and #2732, are correct! Magnificent!

#2733. Determine the nature of the roots of the following quadratic equations:



.


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

#4475 2016-02-13 19:47:23

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

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