TCS Company Logical Reasoning Mathematical Reasoning

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?

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TCS Other Question

99^n is such a number begin with 7, least value of n? 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?