NTSE Government Jobs Exams

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NTSE Other Question

Twenty-seven identical white cubes are assembled into a single cube, the outside of which is painted black. The cube is then disassembled and the smaller cubes thoroughly shuffled in a bag. A blindfolded man (who cannot feel the paint) reassembles the pieces into a cube. What is the probability that the outside of this cube is completely black? A person invested 3 times as much money at 5% as he had invested at 2% per annum simple interest. Further he invested Rs 6000 more at 3% than he had invested at 2%. If the total interest from the three investments after a year is Rs 980, then what is the total amount he invested?