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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 14 : The vertices of a cube are labelled from 1 to 8, in such a way that the sets of numbers corresponding to the vertices of the 6 faces are {1, 2, 6, 7}, {1, 4, 6, 8}, {1, 2, 5, 8}, {2, 3, 5, 7}, {3, 4, 6, 7} and {3, 4, 5, 8}. The vertex labelled 6 is furthest from the vertex labelled - (A) 1, (B) 3, (C) 4, (D) 5, (E) 7.
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – ANSWER 14 : D. The top surface of a cube has the vertices with numbers 6, 7, 3, 4 which is corresponding to the vertices with numbers 1, 2, 5, 8 at the bottom surface. If it is 1 unit of length for lines of 6 – 7, 6 – 4 and 6 – 1, then it is 2^(0.5) unit for lines of 6 – 2 and 6 – 8, with the longest line 6 – 5 of length 3^(0.5).
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 15 : A motel cleaner has 8 master keys at home to open all the rooms in a large motel. Each room can be opened by just 1 of these keys. If 40 % of the rooms are left unlocked, what is the probability that the cleaner can get into a specific room if he selects 3 keys at random before leaving home to go to work? (A) 5 / 8, (B) 5 / 16, (C) 31 / 40, (D) 3 / 20, (E) 19 / 40.
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