Showing posts with label Hard. Show all posts
Showing posts with label Hard. Show all posts

Thursday, May 5, 2011

GK_BLAST GKB_Q115

GKB_Q115
Q-The reflex angle between the hands of a clock at 10:25 is ?(in degree)

(Note: At 10:25, hour hand is not at sharp 10)



The angle between hands is 180+?
Now the problem is to find ?=x
.
.
.
We know that hour hand covers 30 degree in one hour and minute hand covers 360 degree in one hour.
     360 degree of minute hand = 30 degree of hour hand
(in 25 minute, minute hand covers 150 degree)
So 150 degree of minute hand = (30*150)/360 degree of hour hand
Hence hour hand cover 12.5 degree.
So
x=30-12.5=17.5 degree
Therefore, total angle between hands is 180+17.5=197.5 degree

*Give your comments and follow the blog.
   Thank you

Monday, April 11, 2011

Handshake Problem...

GKB_Q98
Q-
At a party,every1 shake hands with everybody else.There r 66 handshakes
How many people r there?




Ans- With two people, there is one handshake.
With three people, there are three handshakes.
With four people, there are six handshakes.
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+...+n.
Since this sum is n(n+1)/2,
we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+n-132 = 0.
Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Friday, April 8, 2011

How many Squares on a Chessboard?

How many Squares on a Chessboard?

Although this investigation seems quite simple, it requires a methodical approach if the correct answer is to be attained.
As the title suggests, the investigation involves children finding out how squares there are on a chessboard. You might think that there are only 64, but you would be wrong...
The diagram below shows that there are indeed 64 squares, you there are also some more...
Don't forget the one large square (shown in red here)...
And, also the 16 two-by-two squares shown below (although these aren't the only 2x2 squares!)...
There are many more different-sized squares on the chessboard.
The complete list of answers is shown below:
1, 8x8 square
4, 7x7 squares
9, 6x6 squares
16, 5x5 squares
25, 4x4 squares
36, 3x3 squares
49, 2x2 squares
64, 1x1 squares
Therefore, there are actually 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 squares on a chessboard! (in total 204).

Tuesday, February 8, 2011

Game of CHALKS...[Puzzle]

Game of CHALKS...


    Get set  CHALKS to experience this Puzzle...
All you have to do is to take "SEVEN" new pieces of CHALK and lay them out so that every piece touches every other pieces.
If you can squeak through this problem in under thirty minutes, You are a GENIUS...

Give me your answer on my E-mail (smith.g4g@gmail.com) and give your comments...
Try...
.
.
.
.
.
.
The picture looks down at the seven pieces of chalks assembled for the solution. The circle in the middle is the end of one piece of chalk, seen head-on. There are two groups of thee pieces each, each group on top of one another, placed around this central piece of chalk on close examination it will be seen that every piece touches every other pieces...