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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?View SolutionSubmit Solution 1,258.7K views
 2 answers
 1 votes

Fry Link street has 1000 buildings.
A sign board maker is contracted to number the houses from 1 to 1000.How many zeroes will he need?
View SolutionSubmit Solution 1,262.3K views
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 2 votes

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
View SolutionSubmit Solution 1,271.0K views
 2 answers
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What remainder is left
when,
1! + 2! + 3! + 4!… + 100! is divided By 7?View SolutionSubmit Solution 1,266.7K views
 2 answers
 1 votes