Math Is Fun Forum

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi bobbym and Relentless,

The two solutions in #2719 are correct! Splendid!

#2720. Solve:

.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hey!

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Relentless and bobbym,

The two solutions in #2720 are correct! Magnificent!

#2721. The sum of the squares of two consecutive odd positive integers is 394. Find them.

---

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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Oral puzzles

Last edited by Monox D. I-Fly (2016-02-09 16:34:34)

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hey,

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Monox D. I-Fly and Relentless,

The solution #2721 is correct! Neat work!

#2722. The sum of a number and its square is 63/4, find the numbers.

---

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello;

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Relentless and bobbym,

The solutions in #2722 are correct! Excellent!

#2723. Find the consecutive even integers whose square have the sum 340.

#2724. The difference of two numbers is 4. If the difference of their reciprocals is 4/21, find the numbers.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hey!

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Relentless and bobbym,

The solutions, #2723 and #2724, are correct! Excellent, Relentless and bobbym!

#2725. Evaluate :

.

#2726. Evaluate :

.

---

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi bobbym,

The solutions #2725 and #2726 are correct! Excellent!

#2727. A bag contains 3 red balls, 5 black balls, and 4 white balls. A balls is drawn at random from the bag. What is the probability that the ball drawn is
(i) white?
(ii) red?
(iii) black?
(iv) not red?

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello;

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Relentless,

The solution #2727 (four parts) are correct! Marvelous!

#2728. Find the values of 'k' for which the roots are real and equal in each of the following equations:

.

---

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi bobbym,

The solutions, #2727 and #2728, are correct! Marvelous!

#2729. The Greatest Common Divisor of two numbers is 16 and their product is 3072. Find the Least Common Multiple.

#2730. The Greatest Common Divisor of two numbers is 145 and their Least Common Multiple is 2175. If one number is 725, find the other.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello,

Last edited by Relentless (2016-02-13 02:16:26)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi Relentless,

Both the solutions, #2729 and #2730, are correct! Excellent!

#2731. If

are the zeroes of the quadratic polynomial

, find a polynomial whose zeroes are

and

.

#2732. If

are the zeroes of the quadratic polynomial

, find a quadratic polynomial whose zeroes 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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: Oral puzzles

Hi bobbym,

The solutions, #2731 and #2732, are correct! Magnificent!

#2733. Determine the nature of the roots of the following quadratic equations:

.

---

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.

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.