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#3476 2015-02-23 15:57:51

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

Re: Oral puzzles

Hi bobbym,

The solution #2227 is correct. Neat work!

#2228. A single pendulum of length 40 centimeters subtends 60 degrees at the vertex in one full oscillation. What will be the shortest distance between the initial position and the final position of the bob?


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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#3477 2015-02-23 20:41:31

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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#3478 2015-02-24 00:40:46

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

Re: Oral puzzles

Hi bobbym,

#2229. If A and B are two sets and U is the universal set such that n(U) = 700, n(A) = 200, n(B) = 300, and

, find
.


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

#3479 2015-02-24 17:08:39

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

#3480 2015-02-24 17:48:27

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

Re: Oral puzzles

Hi bobbym,

#2230. Find the centroid of the triangle whose vertices are (1,3), (2,7), and (12,-16).


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

#3481 2015-02-25 21:22:18

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

#3482 2015-02-25 23:44:58

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

Re: Oral puzzles

Hi bobbym,

The solution #2230 is correct. Neat work!

#2231. Find the centroid of the triangle whose vertices are (3,-5), (-7,4), and (10,-2).


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

#3483 2015-02-26 15:36:35

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

Re: Oral puzzles

Hi,

#2232. Solve :  65x - 33y = 97 and 33x - 65y = 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.

Offline

#3484 2015-02-26 17:47:23

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

#3485 2015-02-26 18:34:28

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

Re: Oral puzzles

Hi bobbym,

The solution #2232 is correct. Brilliant!

#2233. Find the coordinates of the point which divides the line segment joining (3,4) and (-6,2) in the ratio 3:2 externally.


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

#3486 2015-02-27 11:38:52

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

#3487 2015-02-27 15:45:28

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

Re: Oral puzzles

Hi bobbym,

#2234. Find the area of the triangle formed by the points (0,0), (3,0), and (0,2).


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

#3488 2015-02-27 18:44:29

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

#3489 2015-02-27 21:32:50

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

Re: Oral puzzles

Hi bobbym,

The solution #2234 is correct. Good work!

#2235. Find the area of the triangle formed by the points (5,2), (3,-5), and (-5,-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.

Offline

#3490 2015-02-28 10:38:07

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

#3491 2015-02-28 14:48:14

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

Re: Oral puzzles

Hi bobbym,

The solution #2235 is correct. Neat work!

#2236. Find the area of the triangle formed by the points (-4,-5), (4,5), and (-1,-6).


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

#3492 2015-03-01 13:21:33

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

#3493 2015-03-01 14:52:14

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

Re: Oral puzzles

Hi bobbym,

The solution #2236 is correct. Marvelous!

#2237. Vertices of the triangle taken in order and their area is given below. Find the value of 'a'.

Vertices                     -    Area (in square units)
(0,0), (4,a), (6,4)          -    17


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

#3494 2015-03-01 15:24:06

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.

Offline

#3495 2015-03-01 17:34:52

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

Re: Oral puzzles

Hi bobbym,

The solution #2227 is correct. Stupendous!

#2238. Vertices of the triangle taken in order and their area is given below. Find the value of 'a'.
Vertices                     -    Area (in square units)
(a,a), (4,5), (6,-1)       -    9


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

#3496 2015-03-02 12:26:45

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

#3497 2015-03-02 13:19:52

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

Re: Oral puzzles

Hi bobbym,

#2239. Vertices of the triangle taken in order and their area is given below. Find the value of 'a'.

Vertices                           -    Area (in square units)
(a,a), (4,5), and (6,-1)       -    9


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

#3498 2015-03-02 18:23:33

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

#3499 2015-03-02 20:05:39

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

Re: Oral puzzles

Hi bobbym,

I made a mess in the solution (working). Regretted.

#2239.  Vertices of the triangle taken in order and their area is given below. Find the value of 'a'.
Vertices                           -    Area (in square units)
(a,-3), (3,a), (-1,5)           -    12


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

#3500 2015-03-03 14:29:39

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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