TCS Company Logical Reasoning General Mental Ability

A wooden block is 3 inches on an edge and all of its faces are painted black. If the block is cut such that 27 blocks result, each 1 cubic inch in volume, how many will have no painted faces?

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TCS Other Question

Archaeologists found a tablet thought to be written by Copts in the 3rd century AD in a crypt in the Palmyra oasis. Written in Assyrian language, the tablet has claims numbered from 1 to 20. For all values of n from 1 to 20, claim n says 'Exactly n of the claims on this tablet are true.' Which claims are true and which are false? Ramu our intrepid traveler goes to Egypt and is dazzled by its sphinxes and pyramids. At one such pyramid in Giza, he reads the inscription, "This pyramid was originally 28 levels tall with 4 faces". The pyramids are constructed by cubical blocks of rocks such that, on any face, the number of rocks at each level is one less than the level below it. He counts the number of rocks on one of the faces to be 10.0. Can you help Ramu find out how many levels have been lost over the last 4000 years due to the ravages of time?