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#151 2008-11-20 17:54:40

Jai Ganesh
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Posts: 45,956

Re: *** Problems

#53. Find the square root of 7 + 3√5.

#54. Find the square root of 53 - 12√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.

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#152 2008-12-09 18:51:31

Jai Ganesh
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Posts: 45,956

Re: *** Problems

#55. If 47.2506 = 4A +7/B + 2C + 5/D + 6 E, then what is the value of 5A  + 3B +6C + D  + 3E equal to?
(1) 53.6003  (2) 53.603  (3) 153.6003  (4) 213.0003


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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#153 2008-12-15 01:47:26

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#56.  Arrange the following fractions in the descending order:-

.

#57. Arrange the following in the ascending order:-

.


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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#154 2008-12-24 17:27:12

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#58. Find the square root of

.

#59. If

be the sum of n terms of three Arithmetic series, the first erm of each being 1 and the respective common differences 1, 2, and 3, prove that
.

#60. Find the three numbers in Geometric progression such that their sum is

and the product of their reciprocals 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.

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#155 2008-12-30 07:23:15

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#156 2008-12-30 17:54:05

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #56:
You are correct, JaneFairfax!
wd2003.jpg


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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#157 2009-01-01 17:22:44

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#61. Mike can walk a certain distance in 40 days when he rests 9 hours a day. How long would he take to walk twice the distance, twice as fast and rest twice as long each day?


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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#158 2009-01-02 02:45:27

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#62. What is a:b equal to 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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#159 2009-01-02 05:31:19

Identity
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Registered: 2007-04-18
Posts: 934

Re: *** Problems

ganesh wrote:

#62. What is a:b equal to if

?

Last edited by Identity (2009-01-02 05:46:25)

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#160 2009-01-02 16:39:05

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #62. You are correct, Identity!
gggw8.gif


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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#161 2009-01-02 16:54:02

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#63. Find the value of

.

#64. Simplify:-

.


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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#162 2009-01-02 22:17:19

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#163 2009-01-03 00:55:34

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #63:-
You are correct, JaneFairfax!
gggw9.gif


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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#164 2009-01-03 02:05:50

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#65. A and B earn in the ratio 2:1. They spend in the ratio 5:3 and save in the ratio 4:1. Determine the monthly income of each if the monthly savings of both A and B together is $5000.


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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#165 2009-01-03 08:40:11

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#166 2009-01-03 17:38:35

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #61:-
You are perfectly right, Janefairfax!
gdjb1.jpg


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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#167 2009-01-03 17:56:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

#66. Three numbers form an increasing Geometric Progression. If the middle number is doubled, the new numbers are in Arithmetic Progression. What is the common ratio of the Geometric Progression?

#67. Three distinct real numbers a,b,c are in Geometric Progression such taht a+b+c=xb; then which of the following is true?
(1) 0<x<1
(2) -1<x<3
(3) x<-1 or x>3
(4) -1<x<2

#68. If A and G be the Arithmetic Mean and Geometric Mean of two numbers in the ratio m:n, then the numbers are:
(1)


(2)

(3)

(4)


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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#168 2009-01-03 23:10:21

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#169 2009-01-04 00:19:06

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #68:-
Very good work, JaneFairfax! You're correct!
grtjb8.jpg

#69. Find 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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#170 2009-01-04 00:31:51

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#171 2009-01-04 00:50:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #66:-
Perfectly right, Janefairfax!
grtjb10.jpg

#70. 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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#172 2009-01-04 01:01:58

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#173 2009-01-04 01:21:21

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #70:-
Correct, Janefairfax! Keep it up!
xln3.jpg

#71. 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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#174 2009-01-04 01:56:53

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: *** Problems

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#175 2009-01-04 03:09:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: *** Problems

Answer to #71:-
Very well done, Janefairfax!
cgrn3.jpg


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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