Once upon a time, there was a castle on a square island. The entire island was surrounded by a 14m wide trench. The Romans had wanted to invade the castle and had brought a few wooden planks along with them to facilitate themselves in crossing the moat. The planks were however found to be only 13m long.
The Romans still managed to cross the trench. How did they do it?
By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
Example: 98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100
But if we add a condition use of the number 32 is a must. Then there are limited solutions.
One of such solution is: 9 - 8 + 76 + 54 - 32 + 1 = 100
A rain drop fell from one leaf to another leaf and lost 1/4th of its volume. It then fell to another leaf and lost 1/5th of the volume. It again fell on another leaf and lost 1/5th of the volume.
This process kept repeating till it fell on the last leaf losing 1/75th of its volume.
Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf accurate up to two decimal places?
Tarang football website was hacked by one of the players. Jack, the coach of Tarang has pointed out five players as the possible hacker.
Each suspected player made three statements from each suspected player and out of which two are true and one is false.
Joseph
A) I have not hacked the website.
B) I know nothing about hacking.
C) John did it.
Hazard
A) I have not hacked the website.
B) The website was attacked by one of the players.
C) I hate Shelly
Remy
A) I have not hacked the website.
B) I have never seen Oscar in my entire life.
C) I am sure John did it.
John
A) I have not hacked the website.
B) I am sure Oscar did it.
C) Joseph was lying when he said he did it.
Oscar
A) I have not hacked the website.
B) I am sure Hazard did it.
C) I used to be friend with Remy.