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A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remains unpainted?

Read Solution (Total 3)

no of hollow cube shared by corner of cube is 8
no of hollow cube shared by edge of cube is 12*3 = 36
no of hollow cube shared by face of cube is 6(3*3) = 54
total no of hollow cube is: 8+36+54 = 98
total no of faces is 98*6 = 588
as each face contain 25 cubes so, total no of painted cube is 25*4 = 100
No of unpainted cube is = 588-100 = 488
13 years agoHelpfull: Yes(16) No(5)

total no.of cubes require to make hollow cube = 5*5*5-3*3*3=98
Total no.of faces of 98 cubes = 98*6 = 588
No.of outer faces of Big cube that is painted = 5*5*4=100
No.of unpainted face = 588 - 100 = 488
12 years agoHelpfull: Yes(4) No(0)
488
13 years agoHelpfull: Yes(3) No(1)

TCS Other Question

Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true? Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then
a) In order to win, Alice’s first move should be a 0-move.
b) In order to win, Alice’s first move should be a 1-move.
c) Alice has no winning strategy.
d) In order to win, Alice’s first move can be a 0-move or a 1-move

please explain it me,its urgent..