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#476 2015-10-07 06:33:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 350 is perfect! Keep it up!

351. Two dice are thrown simultaneously. Find the probability of getting
(i) an even number as the sum
(ii) the sum of a prime number
(iii) a total of at least 10
(iv) a double of even number
(v) a multiple of 2 on one dice and a multiple of 3 on the other
(vi) same number on both dice, i.e. a doublet
(vii) a multiple of 3 as the sum.


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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#477 2015-10-08 04:29:50

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

Re: Compute the solution:

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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#478 2015-10-08 07:35:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 351 (seven parts) are all correct! Magnificent, bobbym!

352. 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by one man alone and that by one boy alone to finish the work.


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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#479 2015-10-09 03:56:32

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

Re: Compute the solution:

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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#480 2015-10-10 17:24:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 352 is correct, bobbym! Excellent!

353. A hemispherical tank full of water is emptied by a pipe at the rate of

liters per second. How much time will it take to make the tank half-empty, if the tank is 3 meters in diameter?


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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#481 2015-10-15 16:20:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

.

354. A bag contains 12 balls out of which 'x' are white.
(i) If one ball is drawn at random,  what is the probability that it will be a white ball?
(ii) If six more balls are put in the bag, the probability of dwawing a white ball will be doubled than that in (i). Find '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.

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#482 2015-10-16 22:18:02

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

Re: Compute the solution:

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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#483 2015-10-16 23:09:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 354 (two parts) is perfect! Superb performance!

355. If p, q, r are real and

, then determine the nature of the roots of rhe equation
.


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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#484 2015-10-17 17:53:08

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

Re: Compute the solution:

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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#485 2015-10-18 05:33:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,


If p, and q are real and
, then determine the nature of the roots of the equation
.

356. Determime the nature of the roots of the equarion

.


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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#486 2015-10-20 17:11:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

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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#487 2015-10-20 17:58:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

357. How many prime numbers are there from 1 to 1000?


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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#488 2015-10-22 01:16:43

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

Re: Compute the solution:

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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#489 2015-10-22 06:52:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 357 is perfect! Outstanding, bobbym!

358. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0,-1), (2,1), and (0,3). Also, find the ratio of the area of the triangle formed to the area of the given triangle.


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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#490 2015-11-06 23:45:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

359. Find the area of the quadrilateral ABCD whose vertices are respectively A (1,1), B (7,-3), C (12,2), and D (7,21).


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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#491 2015-11-07 03:58:16

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

Re: Compute the solution:

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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#492 2015-11-07 07:53:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 359 is perfect! Remarkable!

360. The area of circle inscribed in an equilateral triangle is 154 square centimeters. Find the perimeter of the triangle. Use

.


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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#493 2015-11-07 18:23:04

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

Re: Compute the solution:

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

#494 2015-11-07 23:04:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

The solution 360 is correct! Good work!

361. A park is in the form of a rectangle 120m x 100m. At the center of the park, there is a circular lawn. The area of the park excluding lawn is 8700 square meters. Find the area of the circular lawn.

.


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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#495 2015-11-20 15:01:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

362. The area of fencing a circular field at the rate of $24 per meter is $5280. The field is to be ploughed at the rate of $0.50 per square meter. Find the cost of ploughing the field.


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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#496 2016-06-06 00:37:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi;

   

363. Find the values of k for which the given equation has real and equal roots:


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

#497 2016-06-06 09:26:29

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

Re: Compute the solution:

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

#498 2016-06-06 23:01:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi bobbym,

Neat work!

364. A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability
(a) of obtaining a total more than 9?
(ii) that the sum of the two numbers appearing on the top of the dice is 13?
(iii) that the sum of the numbers appearing on the top of the dice is less that or equal to 12?
(iv) that the product of the numbers appearing on the top of the dice is less than 9?
(v) that the difference of the numbers appearing on the top of the two dice is 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.

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#499 2016-06-07 03:37:35

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

Re: Compute the solution:

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

#500 2016-06-07 07:30:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi;

The five values of the problem 364 are correct. Excellent, bobbym!

365. Solve for x and y:


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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