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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

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.

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**ganesh****Moderator**- Registered: 2005-06-28
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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.

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**ganesh****Moderator**- Registered: 2005-06-28
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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.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

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.

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

The product of two fractions is

and their quotient is

.

Find the greater fraction.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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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?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

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?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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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?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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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.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the value of

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What are the values of a, b, and c if

and

are perpendicular to each other?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the slope of the normal to the curve y = 3x[sup]2[/sup] at the point whose x coordinate is 2?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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If

then what is the value of a and b?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

If

and

,

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

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

If

and

,

what is the value of k?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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If f(x) = 2x[sup]2[/sup] - 3x and

then what is f(A)?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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If

what is X equal to?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

If

what are x and y equal to?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

If

what are the values of x and y?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

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

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

What is the value of

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

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

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

What is the value of x if

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

If

what is the value of

?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,465

What is the value of

if

?

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

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