#591 - Find Number Problem
Find out a number which is less than 100 and is more than one fifth of its actual value when the digits are reversed.
The number is 45
1/5 of 45 = 9
9+45 is 54.
Find out a number which is less than 100 and is more than one fifth of its actual value when the digits are reversed.
The number is 45
1/5 of 45 = 9
9+45 is 54.
Once upon a time there were three rivals who got together in a dark wood on an open spot for composing a quarrel by using guns. It was a kind of duel but there were three people in it and therefore it is a truel. There were A, B and C. there was some rules to be followed in the game. The rules of the games were:
-They have to draw the lots in order to find who will fire first and who will be second and who will be third.
- The next rule is that, they will start firing on each other unless there is a last person alive.
- Each person will decide on his own about which person he will fire on.
-it is quite clear that A hits and kills in all the shots and it is 100%. Whereas 80% of the shots are hit by B and C hits in 50% of the shots he tries to fire in. the three persons have their own strategy for firing. Nobody is killed by the stray bullet.
Question: who will have the highest chances for surviving in the truel and how much is the chance?
the person C will have the highest chances of survival.
Person A hits = 1
Person A misses = 0
Person B hits = 4/5
Person B misses = 1/5
Person C hits = 1/2
Person C misses = 1/2
If we tie a goat to one peg, a circled grass is been eaten by the goat. If we tie the goat to two pegs with a circle on its neck, then an eclipse is eaten out of the grass by the goat. If we want an eclipse then we put two pegs then put a rope in between then and the other end of the rope is tied up on the goats neck.
How should we tie the peg and the goat so that a square is eaten out from the garden grass? We only have one goat rope and the peg and the rings ?
In the corners of the square, tighten two ropes. Tighten another rope between them by putting rings on each rope. That rope should be tightened on the goat neck on the opposite end.
Evil warlock dislikes dwarfs and therefore he selects four of them and buries them. The dwarfs are buried in the ground and they are in such a way that except their heads their body is inside the ground. The dwarfs cannot move their body and they can view only forward. They are all buried in a line, and amongst the four, one of the dwarf is separated by a wall. All the dwarfs are in the same direction. The last dwarfs can see two heads of the friends in the front and a wall. The last second dwarf can see one head of his friend and a wall. The second dwarf can see only the wall. The dwarf can see nothing.
Warlock comprehends the situation and tells the dwarfs that he has placed hats on their heads. There are two blue hat and two red ones. In all the four dwarfs, one of them has to say what color hat he is wearing. If the dwarf says the correct color of the hat, they will be left free. If the answer is wrong, then they will be dig inside the ground till the very end.
What will be the answer by the dwarf and how will they give the answer?
If the last dwarf seems to take time to answer the question, then it means that the dwarfs in front of him have different colored hats on them. There will be anyway enough time given to the last dwarf to tell the answer.
If he sees the same colored hats in front of him, he will immediately tell the answer.
Use the digits from 1 up to 9 and make 100.
Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (example, 4 and 2 can be combined to form 4/2 or 2/4)
Question: how can we do this ?
There are various solutions that one can come up with. Following are some of them.
1 + 2 + 5 + 4/6 + 7/3 + 89 =100
12 + 9 + 75 + 6/3 + 8/4 =100
2 + 95 +1/6 + 4/8 + 7/3 =100
24 + 57 + 8 + 6/3 + 9/1 =100
36 + 51 + 9 + 4/8 + 7/2 =100
5 + 91 + 3/2 + 6/8 + 7/4 =100
How many squares do you see in matchstick puzzle belwo ?
35
1/2 X 1/2 matchsticks squares: 4
1X1 matchsticks squares : 17
2X2 matchsticks squares : 9
3X3 matchsticks squares : 4
4X4 matchsticks squares : 1
Its a protector.
It sit on a bridge.
One individual can see directly through it , while others wonder what it hide.
Who am i talking about ?
Sunglasses.
Bridge is the nose.
Can you find the next number in sequence ?
113 119 101 114 116 ?
121 ( ascii code of y)
First six alphabet of keyboard are q w e r t y.
Equivalent ascii codes are : 113 119 101 114 116 121
Can you form three triangles by just moving two match sticks.