Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #101 2009-01-17 23:10:42

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#61. Two crystal spheres of diameter

are being packed in a cubic box of side length x. If the crystal spheres are placed in the box and the rest of the box is completely filled with packing powder, approximately what portion of the box is filled with packing powder?

#62. What is the sum of the first 100 terms common to the series
17, 21, 25, 29, 33, 37, ...... and 16, 21, 26, 31, 36, .........?

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

## #102 2009-01-17 23:14:22

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#63.Consecutive odd numbers are arranged in rows as shown below. If the rows are continued in the same pattern, what is the middle number of row 51?

1
3    5
7   9   11
13   15  17   19
21   23  25   27   29
.......................................

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

## #103 2009-01-18 09:35:05

Muggleton
Member
Registered: 2009-01-15
Posts: 65

Offline

## #104 2009-01-19 03:05:58

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

Correct, Muggleton!

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

## #105 2009-01-19 03:26:22

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#64. What is the coefficient of

in the product
?

#65. If the

terms of an Arithmetic Progression are in Geometric progression, what is the common ratio of the Gemoetric progression?

#66. If a, b, and C are in Arithmetic Progression, then

are in
(1) Arithmetic Progression
(2) Geometric Progression
(3) Harmonic Progression
(4) None of these

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

## #106 2009-01-19 16:22:48

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#67. If the common ratio of a Geometric progression a, b, c, d, e........ is r, is

also a Geometric Progession? If so, what is the common ratio?

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

## #107 2009-01-20 06:03:21

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

Offline

## #108 2009-01-20 17:06:31

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

Answers to #64, #65, #66, and #67.
#65, #66, and #67 : Correct.
#64. Please give me some time to simplify your answer check the correctness. Iam rnning out of time now!

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

## #109 2009-01-20 21:24:55

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#68.The numbers 34041 and 32506 when divided by a certain number of three digits, leave the same remainder. What is the number?

#69. My wrist watch is slow by 5 minutes at 3 pm, on Wednesday. It was 8 minutes fast at 9.00 am on Friday. At what time did the watch show the correct time?

#70. A cistern has a leak which empties it in 8 hours. A tap is turned on which fills the cistern at the rate of 6 liters a minute, as a result, the cistern is now emptied in 12 hours. How many liters can the cistern hold?

#71. A certain basket-ball team has played

of its games and has 17 wins and 3 losses. What is the maximum number of games that the team can lose and still win at least
of the total games played?

#72. A log 7 feet long is cut into three pieces, the length of the longest piece being equal to the sum of the length of the other two pieces. What is the length of each piece?

#73. Simplify:-

.

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

## #110 2009-01-21 09:04:39

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

Offline

## #111 2009-01-21 16:40:19

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

Answers to #68, #69, #70, #71, #72:-

Answers to #68, #69, #70 :- All correct!
Answer to #71: I get a different answer. I think it is you who have to correct your answer Please check.
#72 :

Okay, #72 stands corrected, as desired by JaneFairfax!
#72. A log 7 meters long is cut into three pieces, the length of the longest piece being equal to the sum of the length of the other two pieces. What is the length of each piece?

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

## #112 2009-01-21 16:49:08

careless25
Real Member
Registered: 2008-07-24
Posts: 559

### Re: 5 Star Questions

should be a 10sec question...with process of elimination.:D

Last edited by careless25 (2009-01-21 16:49:37)

Offline

## #113 2009-01-21 17:06:36

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

Offline

## #114 2009-01-21 17:17:10

careless25
Real Member
Registered: 2008-07-24
Posts: 559

### Re: 5 Star Questions

for 72 Jane it is in Kilometers per hour.

Offline

## #115 2009-01-21 17:21:42

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

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

## #116 2009-01-21 17:23:36

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

careless25,
Perfect! Well done!!!

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

## #117 2009-01-21 17:27:00

careless25
Real Member
Registered: 2008-07-24
Posts: 559

### Re: 5 Star Questions

ganesh wrote:

Wow, i should have known this. I still get confused when using feet, yards, miles, acres, etc. Base of 10 makes it much more easier i guess.

Offline

## #118 2009-01-22 02:38:08

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#74. What is the value of x if

?

#75. Jerome invested \$400 at the beginning of every month in a bank paying 8% interest per annum on recurring deposits. How much would he get at the end of 3 years?

#76. From the top of a hill 400 meters high, the angle of depression of the top and the bottom of a tower are 30° and 45°. What is the height of the tower?

#77. In an examination, the average makrs scored by the student was 50 marks. After detecting certain errors in correction and awarding marks, the marks scored by 100 students had to be reduced from 90 to 60. As a result, the average marks scored by the students came down to 45. What is the total number of students who appeared for the examination?

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

## #119 2009-01-22 05:33:15

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

Offline

## #120 2009-01-22 19:24:50

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

Answers to #74, #76, and #77:

JaneFairfax,
Answers to #74, and #77 are correct.
Very Good!

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

## #121 2009-01-23 00:28:51

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

#78. What is the value of

to 20 terms?

#79. What is the value of the sum of the series

?

#80. The Hamonic Mean of two numbers is 4, their Arithmetic Mean A and Geometric Mean G satisfy the relation

.
What are the two numbers?

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

## #122 2009-01-23 00:34:48

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

Persnickety!

Offline

## #123 2009-01-23 00:37:20

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

Offline

## #124 2009-01-23 00:48:10

ganesh
Registered: 2005-06-28
Posts: 24,626

### Re: 5 Star Questions

Correct. Very Good.

The '.' represents 'product' not the decimal!

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

## #125 2009-01-23 00:55:21

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

### Re: 5 Star Questions

If you want to represent multiplication with a dot, it should be a centre dot (\cdot), not a baseline dot!

Offline