Analytical Mathematics
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A very big building in which thousand monkeys are living is lighted by thousand lamps. Every lamp is connected to a unique on/off switch, which are numbered from 1 to 1000. At some moment, all lamps are switched off. But because it is becoming darker, the monkeys would like to switch on the lights. They will do this in the following way.
Monkey 1 presses all switches that are a multiple of 1.
Monkey 2 presses all switches that are a multiple of 2.
Monkey 3 presses all switches that are a multiple of 3.
Monkey 4 presses all switches that are a multiple of 4.
Etc., etc.How many lamps are switched on after monkey 1000 pressed his switches?
And
which lamps are switched on?
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If three babies are born every second of the day,
Then how many babies will be born in the year 2016?
Note- A bit trick is there
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Find out a number which is less than 100 and is more than one fifth of its actual value when the digits are reversed.
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Lavesh, Bolt, and Lewis race each other in a 100 meters race. All of them run at a constant speed throughout the race.
Lavesh beats Bolt by 20 meters.
Bolt beats Lewis by 20 meters.How many meters does Lavesh beat Lewis by ?
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