There is a very interesting concept called Cyclic Number.
Cyclic Numbers can be defined as a number with n digits, which, when multiplied by 1, 2, 3, ..., n produces the same digits in a different order.
There are few very famous cyclic numbers. We have given a puzzle question below, if you could answer the puzzle your concept of cyclic number will be crystal clear. That's the reason we have not given example for cyclic numbers.
Can you find a number which added to itself one or several times will give a total having the same digits as that number but differently and after the sixth addition will give a total of all nines?
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There is a pole in a lake. One-half of the pole is in the ground, another one-third of it is covered by water, and 8 ft is out of the water. What is the total length of the pole in ft?
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A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.
1. How many players participate in the tournament if 255 matches are totally played?
2. How many matches are played in the tournament if 26 players totally participate?
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A barge with one man and a load of iron scrap is on a barge floating in a lock in the Panama Canal. If the man throws some iron off the barge into the water, what will happen to the water level on the side of the lock?
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A man needed to pay his rent and was out of money, but found that his rent was worth about one gold link on his chain per day. What is the fewest number of cuts he can make in his 23-link chain to pay the rent for up to 23 days?
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While a red mark was placed on the forehead of each of three blindfolded women seated facing each other in a circle, they were told that the the mark might be either red or white. Upon removal of the blindfolds, each was to raise her hand if she saw at least one red mark, and then to take it down if she could logically deduce the color of her own mark. All three hands were quickly raised, but then one of them lowered her hand. How did she know?
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Three men were standing in a row, all facing the same direction, so that there was one in back who could see the two in front of him, one in the middle, and one in front who could not see either of the other two. There were three blue and two red hats. One hat was placed on each man, without them seeing which two were left over. Each man was told the total number of each color of hat. First the man in the back was asked if he could deduce what color hat he had on, but he said he couldn't. Neither could the man in the middle, when he was next asked. But then man in the front, who could see neither of those behind him but could hear their answers, correctly deduced by logic what color hat he was wearing. What color was it and why?
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A drawer contains 10 black and 10 brown socks that are all mixed up. What is the fewest number of socks you can take from the drawer without looking and be sure to get a pair of the same color?
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Some tricks for faster calculation:
1. Multiplying 5 times an even number: halve the number you are multiplying by and place a zero after the number.
Example:
i. 5 * 136, half of 136 is 68, add a zero for an answer of 680.
ii. 5 * 874, half of 874 is 437; add a zero for an answer of 4370.
2. Multiplying 5 times an odd number: subtract one from the number you are multiplying, then halve that number and place a 5 after the resulting number.
Example:
i. 343 * 5 =(343-1)/2 | 5 = 1715 .
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If one tyre of your car suddenly gets stolen.... and after sometime you find the Tyre without the screws how will you make your journey complete?
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watchman was paid for awaking not for sleeping so that he can see dreams.. – 05Feb12
as a night watchman he shouldnt have slept at night to get that dream... – 04Feb12
Can u plz give me clarity in ur solution Kaush sir..... – 04Feb12
thanks for these tricks. Are these from the book "quicker maths by m.tyra" ? – 03Feb12