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

You are not logged in.

- Topics: Active | Unanswered

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

The product of two fractions is

and their quotient is

.

Find the greater fraction.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

What is the value of

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

and

are perpendicular to each other?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

then what is the value of a and b?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

and

,

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

and

,

what is the value of k?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

then what is f(A)?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

what is X equal to?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

what are x and y equal to?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

what are the values of x and y?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

What is the value of

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

What is the value of x if

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

If

what is the value of

?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,093

What is the value of

if

?

Character is who you are when no one is looking.

Offline