A drinks machine offers three selections - Tea, Coffee or
Random (Either tea or Coffee) but the machine has been wired
up wrongly so that each button does not give what it claims.
If each drink costs 50p, how much minimum money do you have
to put into the machine to work out which button gives which
selection?
What is the minimum number of numbers needed to form every
number from 1 to 7,000?
Example: To form 4884, you would need 2 4s & 2 8s. 4822
requires a 4, a 8, & 2 2s, but you would not count the
numbers again that you had already counted from making 4884.
A fly is flying between two trains, each travelling towards
each other on the same track at 60 km/h. The fly reaches one
engine, reverses itself immediately, and flies back to the
other engine, repeating the process each time.
The fly is flying at 90 km/h. If the fly flies 180 km before
the trains meet, how far apart were the trains initially?
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Brain Teaser No
Three Gold (G) coins, three Silver (S) coins and three
Copper (C) coins are arranged in a single row as follow:
G S C G S C G S C
? Only 2 adjacent unlike coins can be moved at any one time.
? The moved coins must be in contact with at least one other
coin in line. i.e. no pair of coins is to be moved and
placed away from the remaining ones.
? No coin pairs can be reversed i.e. a S-C combination must
remain in that order in its new positionwhen it is moved.
What is the minimum number of moves required to get all the
coins in following order?
C C C S S S G G G
Show all moves.
Three convicts are brought into the warden's office. He says
he can parole one of them and to decide which one he will
parole he takes out 5 hats (3 red and 2 white). He stands
behind them and places a hat on each one of their heads and
puts the other two remaining hats in a drawer.
He tells the prisioners they can look at the others hats and
if they can tell which hat they have on they will be the one
who is paroled.
The first man looks at the other two and says, "I don't know."
The second man looks at the others hats and says, "I don't
know."
The third man who is blind says, "Even though I have not the
gift of sight I can tell by what the others have said that
the color of my hat is..."
What color is the blind mans hat and how does he know?
Pinto says, "The horse is not Black."
Sandy says, "The horse is either Brown or Grey."
Andy says, "The horse is Brown."
At least one is telling truth and at least one is lying.
Can you tell the color of the horse?
Suppose five bales of hay are weighed two at a time in all
possible ways. The weights in pounds are 110, 112, 113, 114,
115, 116, 117, 118, 120, and 121.
How much does each bale weigh?
You have 3 points labelled A, B and C. You then have another
3 points labelled 1, 2 and 3. The aim of the puzzle is to
connect point A with point 1, 2 and 3. Point B with point 1,
2 and 3 and point C with point 1, 2 and 3.
Now while connecting the points you have to follow one rule
- the lines cannot cross over each other.
If a bear eats 65 pounds in fish every day EXCEPT every 6th
day which it only eats 45 pounds of fish.
If the bear continues this, how many pounds of fish will it
eat in 200 days?
A frog starts climbing 15 feet wall. Each hour he climbs 3
feet and rests for 30 minutes. During rest, he slips back 2
feet.
How many hours does the frog take to reach the top?
Replace each letter by a digit. Each letter must be
represented by the same digit and no beginning letter of a
word can be 0.
O N E
O N E
O N E
+ O N E
-------
T E N
Use trial and error. 0 =1, N = 8 ,E = 2, T = 7
1 8 2
1 8 2
1 8 2
+ 1 8 2
------
7 2 8
A man is on a search for Atlantis and comes upon an island
where all the inhabitants know whether Atlantis is still
around or not.
However, all of the inhabitants are either Fairies or Trolls
and they all use a spell to appear humanoid so you cannot
tell which is which. And the Faries always tell the truth
and the Trolls always lie, but there is a slight
complication, some of the Fairies have gone insane and
always lie and some of the Trolls have also gone insane and
always tell the truth.
So here is your task: you must ask the first inhabitant that
you come to ONE question and from that ONE question you must
determine wether Atlantis is still around or not.
What is the question that you must ask?
Everyday in his business a merchant had to weigh amounts
from 1 kg to 121 kgs, to the nearest kg. What are the
minimum number of different weights required and how heavy
should they be?
Three friends divided some bullets equally. After all of
them shot 4 bullets the total number of bullets remaining is
equal to the bullets each had after division. Find the
original number divided.
What is the smallest number which when divided by 10 leaves
a remainder of 9, when divided by 9 leaves a remainder of 8,
when divided by 8 leaves a remainder of 7, when divided by 7
leaves a remainder of 6 and so on until when divided by 2
leaves a remainder of 1?
Mrs. F has invited several wives of delegates to the United
Nations for an informal luncheon. She plans to seat her 9
guests ina row such that each lady will be able to converse
with the person directly to her left and right. She has
prepared the following list.
Mrs. F speaks English only.
Mrs. G speaks English and French.
Mrs. H speaks English and Russian.
Mrs. J speaks Russian only.
Mrs. K speaks English only.
Mrs. L speaks French only.
Mrs. M speaks French and German.
Mrs. N speaks English and German.
Mrs. O speaks English only.
How many distinct seating arrangements are possible? Give
all possible seating arrangements.
Note that ABCD and DCBA are the same.
Given a sequence of integers, there are a few sequences
which result in balanced
binary search trees i.e., AVL trees. Write a program that
takes a sequence of integers
as input and outputs the number of such sequences that
result in the balanced binary
search trees.
Input Format:
Single line contains sequence of integers terminated by -1.
Output format:
Print the number of AVL tree possible from that input sequence.
Sample Input:
1 2 3 -1
Sample Output:
2
Given an N × N array of positive and negative integers, find
the sub-rectangle with
the largest sum. The sum of a rectangle is the sum of all
the elements in that rectangle.
In this problem the sub-rectangle with the largest sum is
referred to as the maximal
sub-rectangle. A sub-rectangle is any contiguous sub-array
of size 1 × 1 or greater
located within the whole array.
Input Format:
First line contains the size of matrix.
Followed by n lines and each line contain n integers
separated by space.
Output format:
Single integer which represents maximum sum of rectangle.
Sample Input:
4
0 -2 -7 0
9 2 -6 2
-4 1 -4 1
-1 8 0 -2
Sample Output:
15
along with your userid / name. ThanQ
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