SNAP PYQs on Cube and Dice with Solutions: Practice SNAP Previous Year Questions

Two adjacent faces of a cube are painted red and out of the remaining sides, two opposite faces are painted green. The cube is then cut into 125 equal smaller cubes. How many smaller cubes will have at most two sides painted?

On the counter are six squares marked 1, 2, 3, 4, 5, 6. Players are invited to place as much money as they wish on any one square. Three dice are then thrown.
1 If your number appears on one die only, you get your money back plus the same amount.
1 If two dice show your number, you get your money back plus twice the amount you placed on the square.
1 If your number appears on all three dice, you get your money back plus three times the amount.
1 If the number is not on any of the dice, the operator gets your money.
For example, suppose that you bet one Rupee on square No. 6. If one die shows a 6, you get your Rupee back plus another Rupee. If two dice show 6, you get back your Rupee plus two Rupees. If three dice show 6, you get your Rupee back plus three Rupees.
From a player’s point of view, the chance of his number showing on one die is \(\frac{1}{6}\) , but since there are three dice, the chances must be \(\frac{3}{6}\) or \(\frac{1}{2}\) , therefore the game is a fair one. Of course this is the way the operator of the game wants everyone to reason, for it is quite fallacious. What is the probable story ?

The following figure is folded to form a cube. Which symbol will appear on the face opposite to $\triangle$?

A cube has six sides each of a different colour. The red side is opposite black. The green side is between red and black. The blue side is adjacent to white and the brown side is adjacent to blue. The red side is face down. The side opposite brown is

Which of the following can be deduced from (I), (II) and (VI)?

If the Red side is exchanged with the Green side and the Blue is swapped with Black, then which of the following is false?