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#1701 2010-09-14 22:55:06

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

Re: 10 second questions

Hi ganesh;

Seems like for #2397 I just forgot about the 13, the second part of the question.
Difficult to understand why I would do that. Bad eyesight maybe...
Thanks for your solution.




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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#1702 2010-09-15 17:52:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2400, 2401, and 2402 are as given.

#2403. If log[sub]5[/sub]a = -2, what is the value of a?

#2404. What is the value of

?

#2405. What is 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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#1703 2010-09-15 20:10:26

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

Re: 10 second questions

Hi ganesh;

Hope you saw my Happy Birthday ( 9 15 2010 ) to you in the other thread!

As regards to your 3 answers #2400 and #2402 are corrections to my incorrect answers. #2401 does not equal 3 / 2 and I think I see why. In post #1712 the question should read:

instead of

Continuing with the work.


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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#1704 2010-09-16 00:02:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2403, 2404, and 2405 are correct. Great work!

#2406. What is the base when logarithm of 216 is 3?

#2407. If log m + log n = log (m + n), what is m equal to?

PS: Thanks for the birthday greeting!


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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#1705 2010-09-16 06:40:04

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.

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#1706 2010-09-16 19:39:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2406 and 2407 are correct. Magnificent!

#2408. If

, what is the value of x?

#2409. The radius of a sphere is r units. Each of the radius of the base and the height of a right circular cylinder is also r units. What is the ratio of the volume of the sphere to that of the cylinder?

#2410. A rectangular container is of size 12 cm (length) x 8 cm (width) and 4 cm (height). How many ice cubes of side 2 cm each can be placed in this container?


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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#1707 2010-09-16 20:12:08

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

Re: 10 second questions

Hi ganesh;




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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#1708 2010-09-16 21:08:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2409 and 2410 are correct. Neat work!

The solution to 2408 is 8.

#2411. Three solid iron cubes whose edges measure 5 cm, 3 cm, and 4 cm respectively, are melted down to form a new single solid cube. What is the surface area of this new cube?

#2412. Two cubes each of 10 cm edge are joined end to end. Find the surface area of the resulting cuboid.


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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#1709 2010-09-16 22:23:11

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

Re: 10 second questions

Hi ganesh;


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

#1710 2010-09-17 18:56:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions to the problems 2411 and 2412 are perfect. Neat work!

#2413. Find the value of

,
find

#2414. If 2[sup]m[/sup] = 64, then 2[sup]m-2[/sup] = ?

#2415. What is the value of

if
.


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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#1711 2010-09-17 19:15:32

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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#1712 2010-09-17 19:34:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2413, 2414, 2415 are all correct. Splendid work!

#2416. What is the number divisible by all numbers from 1 to 22?

#2417. What is 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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#1713 2010-09-17 19:44:30

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

#1714 2010-09-17 23:48:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2416 and 2417 are perfect. Good work!

#2418. The average of 7 numbers is 25 years. The average age of first three of them is 20, while the average of last three is 28. What must be the remaining number?

#2419. The average age of a class of 50 students is 24 years. If the average age of 10 of them is 22 years, while the average of another 10 is 26 years, what is the average age of the remaining 30 students?


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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#1715 2010-09-18 04:03:11

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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#1716 2010-09-18 17:46:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2418 and 2419 are perfect. Well done!

#2420. Given

,
then what is sin A equal to?

#2421. If

, then what is
?


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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#1717 2010-09-18 18:22:53

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

Re: 10 second questions

Hi ganesh;


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

#1718 2010-09-19 18:02:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions to the problems 2420 and 2421 are perfect. Excellent!

#2422. Find the value of

?

#2423. Find the value of

?

#2424. If sin 3A = cos (A - 26) where 3A is an acute angle, find the value of A.


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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#1719 2010-09-19 18:11:04

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

Re: 10 second questions

Hi ganesh;


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

#1720 2010-09-19 21:16:35

wednesday
Member
Registered: 2010-09-18
Posts: 7

Re: 10 second questions

Hi ganesh,

#2424: A = 29


It is possible to store the mind with a million facts and still be entirely uneducated.

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#1721 2010-09-19 21:56:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym and wednesday,

The solutions to 2422, 2423 and 2424 are correct. Smart work!

#2425. If tan A = cot B, then what is A + B?

#2426. What is 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

#1722 2010-09-19 22:16:03

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

Re: 10 second questions

Hi ganesh;


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

#1723 2010-09-19 22:42:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2425 and 2426 are correct. Keep it up!

#2427. What is the approximate value of 100!?

#2428. What is the approximate value of 200!?


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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#1724 2010-09-19 22:44:15

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

#1725 2010-09-19 23:17:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions to 2427 and 2428 are perfect. Outstanding!

#2429. Find the value of

.

#2430. 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

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