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: 15,774

#52. Factorize:-

x³ - 23x² + 142x - 120.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#53. Find the square root of 7 + 3√5.

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #56:

You are correct, JaneFairfax!

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#62. What is a:b equal to if

Character is who you are when no one is looking.

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

ganesh wrote:

#62. What is a:b equal to if

?

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #62. You are correct, Identity!

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#63. Find the value of

#64. Simplify:-

Character is who you are when no one is looking.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #63:-

You are correct, JaneFairfax!

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #61:-

You are perfectly right, Janefairfax!

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

#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)

Character is who you are when no one is looking.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #68:-

Very good work, JaneFairfax! You're correct!

#69. Find the value of x if

Character is who you are when no one is looking.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #66:-

Perfectly right, Janefairfax!

#70. What is the value of x if

Character is who you are when no one is looking.

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,774

Answer to #70:-

Correct, Janefairfax! Keep it up!

#71. What is the value of x if

Character is who you are when no one is looking.

Offline

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

Offline