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#4401 2016-01-19 15:54:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi Relentless and bobbym,

The solution #2698 is correct! Excellent!

#2699. The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are in a row, there would be 2 rows more. Find the number of students in the class.


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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#4402 2016-01-20 03:42:02

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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#4403 2016-01-20 20:14:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

#2700. Find a quadratic equation whose roots are the reciprocal of the roots of the 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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#4404 2016-01-21 03:42:24

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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#4405 2016-01-21 17:14:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The solution #2700 is correct! Good work!

#2701. If

are the roots of the equation
, form an equation whose roots are
.


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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#4406 2016-01-21 19:28:07

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.

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#4407 2016-01-22 16:30:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The solution #2701 is correct! Splendid!

#2702.  If

are the roots of the equation
, form an equation whose roots are
.


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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#4408 2016-01-22 18:09:20

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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#4409 2016-01-23 18:37:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The Solution #2702 is correct! Neat work!

#2703. If

are the roots of
, form an equation whose roots 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.

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#4410 2016-01-23 19:41:47

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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#4411 2016-01-25 20:17:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The solution #2703 is correct! Excellent!

#2704. A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is 1/3, and the probability of selecting a green marble at random is 4/9. How many white marbles does the jar contain?


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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#4412 2016-01-25 20:20:25

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

Re: Oral puzzles

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#4413 2016-01-25 23:46:24

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi Relentless,

The solution #2704 is correct! Excellent!

#2705. The sum of a two-digit number and the obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.


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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#4414 2016-01-26 01:58:35

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

Re: Oral puzzles

Hi,

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#4415 2016-01-26 05:33:08

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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#4416 2016-01-27 20:49:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi Relentless and bobbym,

The solution #2705 is correct! Good work!

#2706. In a two-digit number, the unit's digit is twice the ten's digit. If 27 is added to the number, the digits interchange their places. Find the number.


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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#4417 2016-01-28 03:31:26

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

#4418 2016-01-28 20:23:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The solution #2706 is correct! Neat work!

#2707. Points A and B km apart from each other on a highway. A car starts from 'A' and another from 'B' at the same time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their speeds.


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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#4419 2016-01-29 10:39:24

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

#4420 2016-01-29 16:28:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

#2708. Given that 16cotA = 12, 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

#4421 2016-01-29 16:42:38

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

#4422 2016-01-29 17:32:37

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Oral puzzles


Only a friend tells you your face is dirty.

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#4423 2016-01-29 18:26:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym and math9maniac,

The solution #2708 is correct, bobbym and math9maniac! Excellent!

The problem #2707 may be treated as 'Null and Void'!

#2709. A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is
(i) other than an ace
(ii) a ten
(iii)  a spade
(iv) a black card


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

#4424 2016-01-29 18:29:48

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

#4425 2016-01-30 16:21:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Oral puzzles

Hi bobbym,

The solution #2709 (four parts) are correct! Wonderful!

#2710. If one root of the quadratic equation

, find the value of k. Also, find the other root.


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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