Indian Institute of Technology Bombay
If you passed 12th in PCB (Physics, Chemistry, Biology) in 2023, you need to study PCM (Physics, Chemistry, Math) to be eligible for BTech in IIT Bombay through JEE Advanced. You can join 12th again with PCM subjects in 2024 and appear for JEE Main and Advanced after passing. This
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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