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#1 2009-03-10 17:08:09

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,422

Exercise

If 8 Arithmetic Means are placed between 2 and 17, what would the 5[sup]th[/sup] Arithmetic mean be equal to?


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.

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#2 2009-03-11 00:00:58

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the sum of the roots of the equation x[sup]2[/sup]-6x+2 = 0?


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.

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#3 2009-03-11 00:11:33

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If the roots of the quadratic equation px[sup]2[/sup]+qx+r = 0 are reciprocal of one another, then which of the following is true?


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.

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#4 2009-03-11 16:47:55

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the 200[sup]th[/sup] term of the series
3, 7, 11, 15, ....?


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.

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#5 2009-03-12 06:43:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of cosθ if

?


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.

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#6 2009-03-12 18:39:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If the quadratic equation 2x[sup]2[/sup] + 3x + p = 0 has equal roots, then what is the value of p?


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.

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#7 2009-03-12 18:47:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If 3 + 3b + 3b[sup]2[/sup] +3b[sup]3[/sup] + ....∞  = 45/8 and b>0, then what is the value of b?


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.

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#8 2009-03-12 19:08:32

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

A polygon has 44 diagonals. How many sides does it have?


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.

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#9 2009-03-12 19:40:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the 10[sup]th[/sup] term in the expansion of (x-1)[sup]11[/sup] (in decreasing powers of x)?


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.

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#10 2009-03-12 20:13:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of

?


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.

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#11 2009-03-13 02:25:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If b tan θ = a, then what is the value of

?


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.

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#12 2009-03-13 03:19:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of the expression
cos170°cos10° - sin170°sin10°?


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.

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#13 2009-03-13 04:09:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

Whatis the value of

?


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.

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#14 2009-03-13 04:29:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of

?

Last edited by Jai Ganesh (2009-03-13 04:48:06)


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.

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#15 2009-03-13 06:13:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of

?


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.

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#16 2009-03-13 07:40:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If x=y[sup]a[/sup], y=z[sup]b[/sup], z=x[sup]c[/sup], find the value of abc.


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.

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#17 2009-03-13 09:04:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

Whatis the value of

?


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.

Offline

#18 2009-03-13 09:12:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of

?


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.

Offline

#19 2009-03-13 19:00:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of x if

?


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.

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#20 2009-03-13 19:12:58

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of x if

?


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.

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#21 2009-03-13 19:22:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

Find the value of

.


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.

Offline

#22 2009-03-13 19:43:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

What is the value of

?


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.

Offline

#23 2009-03-14 02:11:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

Let a, b, and c represent the shares of three persons A, B, and C. A sum of $370 is to be shared among A, B, and C such that

.
What is A's share?


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.

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#24 2009-03-14 02:21:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

Two numbers are in he ratio 3:5. If 9 is subtracted from each of them, then their ratio becomes 12:23. Find the smaller 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.

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#25 2009-03-14 02:47:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: Exercise

If the diagonals of a square are in the ratio 2:5, then what would the ratio of their areas be?


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.

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