IBM Company Numerical Ability Permutation and Combination

We went to some place and it rained for 15 days. Clear mornings are followed by rainy afternoons. And all clear afternoons are preceeded by rainy mornings. It rained continuiosly for 10 mornings. It rained for 12 afternoons. And 13 days are without any rain. How many days we stayed in the new place?

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IBM Other Question

Three travelers stopped at an inn for supper. The innkeeper could offer
only baked potatoes. While the potatoes were baking, the travelers fell
asleep. Soon, one of them woke up, saw the dish of potatoes, and took a
third of them without waking the others. Later the second one woke up, saw
the dish, and ate a third of the remaining potatoes. Later the third one
did the same. When all three were sleeping once again, the innkeeper
cleared the table and found 8 potatoes left.

How many potatoes were there to start with?
In a soap company,a soap is manufactured with 11 parts.....for making one soap,u will get one part as a scrap...at the end of the day,u have 251 such scraps....from that ,how many soaps can be manufactured?