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LOGICAL PUZZLES 1
ANSWERS
QUESTION
Supposing a clock takes 7 seconds to strike 7 . How long with the same clock take to strike 10 ?
ANSWER (1)
10.5 seconds
While striking 7 the clock strikes its first gong at 7 o'clock and it strikes 6 more at regular intervals . These 6 intervals take 7 seconds so that the intervals between gongs is 7/6 sec . However ,to strike 10 there are 9 intervals each taking 7/6 seconds for a total of 10.5 seconds.QUESTION
A number of cats got together , and killed 391 mice .Every cat killed an equal number of mice .And each cat killed more mice then there were cats. So,How many catsdo you think there was ( It is not that ,one cat killed the lot since I use the word cats and also it is not like that 391 cats killed one mouse ,since I use the word mice ) ?
ANSWER (2)
17 cats , 23 mice
Just one look at the no. 391 and we know that it cannot be a prime no. And if the problem has to have only one answer ,this no can have only two factors .The factors are 17 and 23 both of which are prime no. We know that each cat killed more mice than there were cats , and therefore the correct answer , is 17 cats and 23 mice.QUESTION
My friends room has a square window of 4m across and 4m down .He decided to get only half the area of window painted . Even after the painting he found that the clear part of the window still measured 4m from top and to bottom and 4m from side to side . How is it possible ?
ANSWER (3)
Point out the Language
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QUESTION
A railway track runs parallel to a road until a bend brings the road to a level crossing . Acyclist rides along to work along the road every day at a constant speed of 12 miles per hour .
He normally meets a train travel in the same direction at the crossing .
One day he was late by 25 minutes and meet the train 6 miles ahead of railway crossing . Can you find the speed of the train ?
ANSWER (4)
72 miles per hour
Let's assume that the man and the train normally meet at the crossing at 10 a.m ,Then the usual time of the cyclist at the bend is 10 a.m and he is 6 miles behind at 9.30 a.m But when the cyclist is late ,he arrives at the bend at 10.25 a.m and therefore he is six miles behind at 9.55 a.m Since the train takes 5 minutes to travel 6 miles run .The speed of the train is 72 miles per hour .QUESTION
A short man takes three steps to a tall man's steps . They both start out on the left foot . How many steps do they have to takae before they are both stepping out on the right foot together ?
ANSWER (5)
They will never step out the right foot together .
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