Question

Three friends are climbing down a staircase. One friend climbs down two steps at one go, the second friend three steps at one go and and the third climbs down four steps. They started together from the beginning of the staircase leaving their foot marks. They all came down in complete steps and had their foot marks together at the bottom of the staircase.
In how many steps would there be only one pair of foot mark? Are there any steps on which there would be no foot marks?

Answer 1

Answer:

in the first step there would be no marks as

one friend climb 2 steps

second friend climb three steps

third friend climb 4 steps

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2+3-4=5-4=1