There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
divide the stones 3,3,2. put 3 stones in both sides of the
pan balance. if the stones have equal weight.if there is no
deviation in pan balance.Then put remaining 2 stones in the
pan balance.Then we take the weightiest ball in the 8 stones
with 2 times weighted.
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
minimum no of steps required:3
answer:
1 2 3 4 5 6 7 8
take 1,2&3,4
if both are equal move on to next
take 3,4&5,6
if both are equal move on next
take 6&7
if both are equal 8is the heavier one
else 7 is the heavier one
else
take 4 & 5
if both are equal
6 is the heavier on
else
5 is the heavier
else
take 2 & 5
if both are equal
1 is the heaveier one
else
2 is the heavier one
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
the right answer is 3
first divide the stones into 2parts 4 4
then see which one is heavier
then divide the heavier part into two parts 2 2
then measure the two stones of heavier part
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Answer is 2.
Solution:
Divide the stones into 3,3,2. Put 3 stones on left pan and
3 stones on right pan. If heavier stone is present in any
one of the side then that side will get down. Take the 3
stones from that side and again put 1 stone on left and 1
on right. We can find the heavier stone from this. If both
are equal then the remaining one is heaviest.
While dividing the stones as 3,3,2 when both sides are
equal then take the remaining 2 stones and put it on left
and right.
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
divide the stones into 4 and 4, weight it find which is
heavy. Consider which is high weighted and then again
divide those stones into 2 and 2, weight it find which is
hevy. consider which is high in weight and weigh the
remaining 2 weights and thus highest weighed is found. Thus
Answer is 3.
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
Re: There are 8 stones which are similar except one which is
heavier than the others. To find it, you are given a pan
balance. What is the minimal number of weighing needed to
find out the heaviest stone ?
The answer is 2, 3 balls on each of the pans of the
balancing scales, should the scales balance then from the
remaining 2, we can find the heavier ball through another
comparison which gives 2 comparisons, however in the first
place should the balance not balance, then from the heavier
group, pick 2 more balls (from 3) and weigh them, if the
scales balance then the remaining ball is the heaviest one
and if the scales do not balance then the one that is heavy
can be seen from that instant itself-- THUS THE MOST
OPTIMAL ANSWER IS "2"
A rich old Arab has three sons. When he died, he willed his
17 camels to the sons, to be divided as follows:
First Son to get 1/2 of the camels Second Son to get 1/3rd
of the camels Third Son to get 1/9th of the camels.
The sons are sitting there trying to figure out how this can
possibly be done, when a very old wise man goes riding by.
They stop him and ask him to help them solve their problem.
Without hesitation he divides the camels properly and
continues riding on his way.
How did he do it?
In a sports contest there were m medals awarded on n
successive days (n > 1).
1. On the first day 1 medal and 1/7 of the remaining m - 1
medals were awarded.
2. On the second day 2 medals and 1/7 of the now remaining
medals was awarded; and so on.
3. On the nth and last day, the remaining n medals were awarded.
How many days did the contest last, and how many medals were
awarded altogether?
500 men are arranged in an array of 10 rows and 50 columns
according to their heights.
Tallest among each row of all are asked to come out. And the
shortest among them is A.
Similarly after resuming them to their original positions,
the shortest among each column are asked to come out. And
the tallest among them is B.
Now who is taller A or B ?
If you started a business in which you earned Rs.1 on the
first day, Rs.3 on the second day, Rs.5 on the third day,
Rs.7 on the fourth day, & so on.
How much would you have earned with this business after 50
years (assuming there are exactly 365 days in every year)?
The secret agent X emailed a code word to his head office.
They are "AIM DUE OAT TIE MOD". But four of these five words
are fake and only one contains the information.
The agent X also mailed a sentence as a clue - if I tell you
any one character of the code word, you would be able to
tell the number of vowels in the code word.
Can you tell which is the code word?
Kate, Demi, Madona, Sharon, Britney and Nicole decided to
lunch together in a restaurant. The waiter led them to a
round table with six chairs.
How many different ways can they seat?
Jim lies a lot. He tells the truth on only one day in a week.
One day he said: "I lie on Mondays and Tuesdays."
The next day he said: "Today is either Sunday, Saturday or
Thursday."
The next day he said: "I lie on Fridays and Wednesdays."
On which day of the week does Jim tell the truth?
A soldier looses his way in a thick jungle. At random he
walks from his camp but mathematically in an interesting
fashion.
First he walks one mile East then half mile to North. Then
1/4 mile to West, then 1/8 mile to South and so on making a
loop.
Finally how far he is from his camp and in which direction?
In the village called TALAJA, only three TV channels are
available - Moon Plus, Mony and Mee TV.
Out of 4000 TV viewers in the village, 1500 watch Moon TV,
2000 watch Mony and 2500 watch Mee TV.
Amongst these, 500 viewers watch Moon Plus and Mony, 800
watch Moon Plus and Mee TV, and 1000 watch Mony and Mee TV.
How many viewers watch all three channels?
In training for a competition, you find that swimming
downstream (with the current) in a river, you can swim 2
miles in 40 minutes, & upstream (against the current), you
can swim 2 miles in 60 minutes.
How long would it take you to swim a mile in still water?
There are 3 colored boxes - Red, Green and Blue. Each box
contains 2 envelopes. Each envelope contains money - two of
them contain Rs. 25000 each, two of them contain Rs. 15000
each and remaining two contain Rs. 10000 each.
There is one statement written on the cover of each box.
* Red Box: Both, a red box and a blue box contain Rs. 10000
each.
* Green Box: Both, a green box and a red box contain Rs.
25000 each.
* Blue Box: Both, a blue box and a green box contain Rs.
15000 each.
Only one of the above 3 statements is true and the
corresponding box contains the maximum amount.
Can you tell which box contains the maximum amount and how much?
Find the smallest number such that if its rightmost digit
is placed at its left end, the new number so formed is
precisely 50% larger than the original number.
Given the following facts:
1. Dinesh is younger than Farukh and older than Gurmit.
2. Jatin is younger than Chandu and older than Eshrat.
3. Amit is younger than Irfan and older than Chandu.
4. Farukh is younger than Bhavin and older than Hemant.
5. Irfan is younger than Gurmit and older than Jatin.
6. Hemant is older than Gurmit.
Who is the Youngest?
When Alexander the Great attacked the forces of Porus, an
Indian soldier was captured by the Greeks. He had displayed
such bravery in battle, however, that the enemy offered to
let him choose how he wanted to be killed. They told
him, "If you tell a lie, you will put to the sword, and if
you tell the truth you will be hanged."
The soldier could make only one statement. He made that
statement and went free. What did he say?