# Cubes and Dice Quiz Set 02

### Question 1

The following diagram depicts the various views of a cube. Each face has some alphabet. The alphabet on one face of cube 4 is erased. Which alphabet should it be? A
B
B
E
C
C
D
A
Soln.
Ans: c

The un-wrapped view of the cube is given below which explains everything. ### Question 2

A cube has 6 numbers marked 1, 2, 3, 4, 5 and 6 on its faces. The sum of numbers on the opposite sides are 7. What possible numbers exist on the two faces marked (A) and (B) respectively ?

A
2 and 4
B
4 and 6
C
6 and 1
D
5 and 2
Soln.
Ans: d

Face 4 is opposite 3. So A = 2, B = 4 is not possible. Similarly, A = 4 and B = 6 is ruled out. Lastly, 6 and 1 are on opposite sides, so A = 6, and B = 1 is ruled out. The fourth choice A= 5, and B = 2 is the right answer without any further thought. Sir Arthur Conan Doyle's logic: "When you have eliminated the impossible, whatever remains, however improbable, must be the truth."

### Question 3

Two positions of a dice are shown below. When face A is on the top. What face will be at the bottom? A
C
B
E
C
B
D
F
Soln.
Ans: b
F is the common face, so D will be opposite B and the face A will be opposite E.

### Question 4

Two positions of a cuboidal block are given below. The block contains all even numbers up to 12. When 10 is at the bottom, what number will at the top ?

A
8
B
12
C
6
D
4
Soln.
Ans: b

The answer is obvious because all even numbers except 12 are revealed in the two positions.

### Question 5

Here two positions of a dice are shown. If face with 2 is in the bottom, then which face will be on the top ? A
2
B
3
C
5
D
6
Soln.
Ans: c
Here the common faces with 4 number are in same position. Hence 2 will be opposite to 5. 