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**ganesh****Moderator**- Registered: 2005-06-28
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#52. Factorize:-

x³ - 23x² + 142x - 120.

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**ganesh****Moderator**- Registered: 2005-06-28
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#53. Find the square root of 7 + 3√5.

#54. Find the square root of 53 - 12√10.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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#56. Arrange the following fractions in the descending order:-

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

.Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
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#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 .Character is who you are when no one is looking.

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #56:

You are correct, JaneFairfax!

Character is who you are when no one is looking.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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#62. What is a:b equal to if

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**Identity****Member**- Registered: 2007-04-18
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ganesh wrote:

#62. What is a:b equal to if

?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #62. You are correct, Identity!

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
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#63. Find the value of

#64. Simplify:-

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #63:-

You are correct, JaneFairfax!

Character is who you are when no one is looking.

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

Character is who you are when no one is looking.

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #61:-

You are perfectly right, Janefairfax!

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
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#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)

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #68:-

Very good work, JaneFairfax! You're correct!

#69. Find the value of x if

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #66:-

Perfectly right, Janefairfax!

#70. What is the value of x if

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**JaneFairfax****Member**- Registered: 2007-02-23
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**ganesh****Moderator**- Registered: 2005-06-28
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Answer to #70:-

Correct, Janefairfax! Keep it up!

#71. What is the value of x if

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**JaneFairfax****Member**- Registered: 2007-02-23
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