Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#176 2009-04-02 17:12:18

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the probability of a leap year, selected at random, containing 53 Sundays?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#177 2009-04-02 17:21:47

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

Five letters are are placed at random in five addressed envelopes. Find the probability that all the letters are not put in the right covers.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#178 2009-04-02 17:32:06

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

A can solve 90% of the problems in a book and B can solve 70% of them. What is the probability that at least one of them would solve a problem selected at random from the book?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#179 2009-04-02 21:42:46

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

The sum of the numerator and the denomintor of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes

.
Find the fraction.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#180 2009-04-02 21:53:35

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

The product of two fractions is


and their quotient is
.
Find the greater fraction.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#181 2009-04-02 22:33:49

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

One fifth of a number is equal to


of another number. If 35 is added to the first number, it becomes four times the second number. What is the second number?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#182 2009-04-02 22:46:44

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

In a pair of fractions, fraction A is twice the fraction B and the product of the two fractions is

.
What is the value of fracion A?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#183 2009-04-02 22:56:21

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator are increased by 4, the fraction becomes

.
What is the original fraction?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#184 2009-04-02 23:03:01

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

The difference between the numerator and the denominator of a fraction is 5. If 5 is added to the denominator, the fraction is decreased by

.
Find the fraction.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#185 2009-04-03 03:54:31

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the value of

?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#186 2009-04-03 04:02:59

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What are the values of a, b, and c if


and

are perpendicular to each other?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#187 2009-04-03 04:11:45

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the slope of the normal to the curve y = 3x[sup]2[/sup] at the point whose x coordinate is 2?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#188 2009-04-03 18:58:11

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
then what is the value of a and b?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#189 2009-04-03 21:33:05

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If


and
,
then what are the values of x and y for which A and B would be equal?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#190 2009-04-03 21:47:11

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
and
,
what is the value of k?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#191 2009-04-03 22:04:11

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If f(x) = 2x[sup]2[/sup] - 3x and

,
then what is f(A)?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#192 2009-04-03 23:27:13

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
what is X equal to?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#193 2009-04-03 23:42:19

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
what are x and y equal to?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#194 2009-04-03 23:51:38

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
what are the values of x and y?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#195 2009-04-04 01:07:32

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If 3 sinθ + 5 cosθ = 5, then what is the value of 5 sin θ - 3 cos θ?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#196 2009-04-04 01:17:51

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the value of

?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#197 2009-04-04 01:39:54

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If tanθ + sinθ = m and tanθ - sinθ = n, then what is the value of

?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#198 2009-04-04 01:53:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the value of x if

?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#199 2009-04-04 03:25:43

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

If

,
what is the value of
?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#200 2009-04-04 03:57:17

ganesh
Moderator
Registered: 2005-06-28
Posts: 20,935

Re: Exercise

What is the value of


if
?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Board footer

Powered by FluxBB