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#4826 2014-05-24 01:33:07

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

Re: 10 second questions

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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#4827 2014-05-24 02:11:31

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

Re: 10 second questions

Hi bobbym,

The solution [hide=#4984]I get 50.
Number of pieces = 42.5 x 100/85 = 4250/85 = 50

The solution #4985 is perfect. Exemplary!

PS : Thanks for the replies. I shall post 'English Language Puzzles' soon.

#4986.


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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#4828 2014-05-24 02:20:54

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

Re: 10 second questions

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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#4829 2014-05-24 19:04:47

Denominator
Member
Registered: 2009-11-23
Posts: 219

Re: 10 second questions

Hello

Thanks smile


koko28.png

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#4830 2014-05-24 22:46:02

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

Re: 10 second questions

Hi bobbym and Denominator,

The solution #4986 is correct. Stupendous!

#4987. If

, then what is the value of
?

#4988. Given

and
,
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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#4831 2014-05-24 23:18:54

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

Re: 10 second questions

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

#4832 2014-05-25 03:49:57

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

Re: 10 second questions

Hi bobbym,

The solutions #4987 and #4988 are correct. Magnificent!

#4989.

#4990.


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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#4833 2014-05-25 04:02:04

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

Re: 10 second questions

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

#4834 2014-05-25 04:04:07

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: 10 second questions

I need a little explanation on how 4990 can be done in about 10 seconds.

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#4835 2014-05-25 04:07:08

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

Re: 10 second questions

It can be shortened algebraically but still required a calculator.


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

#4836 2014-05-25 04:09:54

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: 10 second questions

Okay, because I thought I was missing something.

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#4837 2014-05-25 04:10:49

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

Re: 10 second questions

I can not even write the problems down in less than a minute. 10 seconds, I am too slow for that.


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

#4838 2014-05-25 04:22:52

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

Re: 10 second questions

Hi bobbym and ShivamS,

I made a mistake owing to my poor vision. The problem actually stated:

#4990.

The corrected version :

#4990.

Inconvenience regretted!


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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#4839 2014-05-25 04:26:21

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: 10 second questions

No problem. smile

Last edited by ShivamS (2014-05-25 04:28:08)

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#4840 2014-05-25 04:27:17

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

Re: 10 second questions

Hi ganesh;

That is okay.


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

#4841 2014-05-26 00:21:17

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

Re: 10 second questions

Hi ShivamS and bobbym,

The solution #4990 is perfect. Marvelous!

#4991. Find the greatest number of five digits which is a perfect square.

#4992. Find the smallest number that must be added to 1780 to make it a perfect square.


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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#4842 2014-05-26 00:33:13

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

Re: 10 second questions

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

#4843 2014-05-26 01:25:56

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

Re: 10 second questions

Hi bobbym,

The solutions #4991 and #4992 are correct. Excellent!

#4993. If

, find the value of
.

#4994. If

and
, 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.

Offline

#4844 2014-05-26 01:37:34

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

Re: 10 second questions

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

#4845 2014-05-26 07:51:20

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: 10 second questions

Are we allowed to use a calculator? The only way of solving

#4991. Find the greatest number of five digits which is a perfect square.

in 10 seconds is by taking the square root of 99999 and then squaring 316.

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#4846 2014-05-26 08:04:49

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

Re: 10 second questions

You could know that the square root of 10 is about 3.16, now you can easily get the square root of 100000


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

#4847 2014-05-27 02:05:13

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

Re: 10 second questions

Hi bobbym and ShivamS,

The solutions #4993 and #4994 are correct. Brilliant, bobbym!

ShivamS, the complete

#4995. Solve the following system of equations :

and

#4996. Solve the following system of equations : 11x - 7y = xy and 9x - 4y = 6xy.


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

#4848 2014-05-27 02:14:16

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

Re: 10 second questions

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

#4849 2014-05-27 02:32:35

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

Re: 10 second questions

Hi ShivamS,

Solution : #4991.
The greatest number of 5 digits is 99999.
316 x 316 + x = 99999
(knowing square root of 10 = 3.16)
Required number = (99999 - 143) = 99856.


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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#4850 2014-05-27 14:37:25

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

Re: 10 second questions

Hi bobbym,

The solutions #4995 and #4996 are correct. Excellent!

#4997. Find the value of

#4998. Find the value of x.


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

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