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: 21,104

#53. Find the square root of 7 + 3√5.

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

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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#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 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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

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

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

.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.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #56:

You are correct, JaneFairfax!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#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?

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#62. What is a:b equal to if

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

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: 21,104

Answer to #62. You are correct, Identity!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#63. Find the value of

#64. Simplify:-

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #63:-

You are correct, JaneFairfax!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#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.

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #61:-

You are perfectly right, Janefairfax!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

#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)

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #68:-

Very good work, JaneFairfax! You're correct!

#69. Find the value of x if

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #66:-

Perfectly right, Janefairfax!

#70. What is the value of x if

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #70:-

Correct, Janefairfax! Keep it up!

#71. What is the value of x if

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

Offline

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,104

Answer to #71:-

Very well done, Janefairfax!

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

Offline