Math Is Fun Forum

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: 48,413

Re: Oral puzzles

Hi;

The solution #3052 is correct. Excellent, bobbym!

#3053. The ratio of the length of a rod to its shadow is

. The angle of elevation of the Sun 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.

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: 48,413

Re: Oral puzzles

Hi;

The solution #3053 is correct. Neat work, bobbym!

#3054. A lamp post

m casts a shadow 5 m long on the ground. The Sun's elevation at this moment 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.

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: 48,413

Re: Oral puzzles

Hi;

The solution #3054 is correct. Neat work, bobbym!

#3055. A ship is sighted at sea from the top of a lighthouse of 75 m height. If the angle of depression is found to be 30 degrees,  the distance of the ship from the lighthouse (in meters) 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.

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: 48,413

Re: Oral puzzles

Hi;

The solution #3055 is correct. Excellent, bobbym!

#3056. A red card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is
(i) a card of spade or an ace
(ii) a red king
(iii) neither a king nor a queen
(iv) either a king or a queen.

---

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: 48,413

Re: Oral puzzles

Hi;

The solutions #3056 (iii) and (iv) are correct. Neat work, bobbym!

#3057. A bag contains 4 white balls, 6 red balls, 7 black balls, and 3 blue balls. One balls is drawn at random from the bag. Find the probability that the balls drawn is
(i) white
(ii) not black
(iii) neither white nor black
(iv) red or white.

---

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: 48,413

Re: Oral puzzles

Hi;

The solution #3057 (four parts) are all correct. Splendid, bobbym!

#3058. A box contains 19 balls bearing numbers 1, 2, 3, ...., 19. A ball is drawn at random from the box. Find the probability that the number on the ball is
(i) a prime number
(ii) divisible by 3 or 5
(iii) neither divisible by 5 nor by 10
(iv) an even 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.

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: 48,413

Re: Oral puzzles

Hi;

The solution #3058 (i, ii, and iv) are correct. Neat work, bobbym!

#3059. Cards marked with numbers 5, 6, 7, ...., 30 are placed in a box and mixed thoroughly and one card is drawn at random from the box. What is the probability that the number on the card is
(i) a prime number?
(ii) a multiple of 3 or 5?
(iii) neither divisible by 5 nor by 10?

---

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: 48,413

Re: Oral puzzles

Hi;

The solution #3059 (three parts) are correct. Excellent, bobbym!

#3060. Find the roots of the following quadratic equations if they exist, using the quadratic formula:

---

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: 48,413

Re: Oral puzzles

Hi;

The solutions in #3060 (i) and (ii) are correct. Marvelous, bobbym!

#3061. A motor boat whose speed is 18 km/hour in still water takes 1 hour more to go 24 kms than to return downstream to the same spot. Find the speed of the stream.

---

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: 48,413

Re: Oral puzzles

Hi;

The solution #3061 is correct. Good work, bobbym!

#3062. $6500 is divided equally among a certain number of persons. Had there been 15 more persons, each would have got $30 less. Find the original number of persons.

---

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: 48,413

Re: Oral puzzles

Hi;

The solution #3062 is correct. Neat work, bobbym!

#3063. 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.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Oral puzzles

---

Only a friend tells you your face is dirty.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: Oral puzzles

Hi;

The two solutions in #3063 are correct. Neat work, math9maniac!

#3064. If the price of a book is reduced by $5, a person can buy 5 more books for $300. Find the original list price of the book.

---

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.