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Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of
the cake. One friend suggests that they have a blindfold friend choose
from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10

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TCS Other Question

The citizens of planet nigiet are 8 fingered and have thus
developed their decimal system in base 8. A certain street in nigiet
contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are
used in numbering these buildings?
How many of 14 digit numbers we can make with 1,2,3,4,5 that are
divisible by 4. Repetitions allowed.