Indian Institute of Technology Bombay
Question : A solid cuboid is melted to form several cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm and the edge of each cube is 4 cm, then the number of cubes is:
Option 1: 50
Option 2: 44
Option 3: 40
Option 4: 48
Correct Answer: 40
Solution : Dimensions of cuboid are 20, 16 and 8 cm. The length of the side of the cube = 4 Volume of cuboid = $l\times b\times h$ Volume of cube = $a^3$ Number of cubes = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}$ = $\frac{20\times 16\times 8}{4\times4\times4}$ =
Question : Directions: 6 persons A, B, C, D, E, and F are sitting around a rectangular table (not necessarily in the same order) facing towards the centre. 4 persons are sitting at each corner, and one person is sitting at the middle of each shorter side of the table. B is an immediate neighbour of D and C. F is an immediate neighbour of A and D. E is an immediate neighbour of A and C. F is not sitting at any of the corners. Which of the following pairs represents the persons who are sitting exactly opposite to each other?
Option 1: CD
Option 2: FC
Option 3: AD
Option 4: BE
Correct Answer: FC
Solution : Given: (I) 6 persons A, B, C, D, E and F are sitting around a rectangular table (not necessarily in the same order) facing towards the centre. 4 persons are sitting at each corner, and one person is sitting at the middle of each shorter
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