# Cubes and Dice Quiz Set 10

### Question 1

Two positions of a dice are shown below. Which number will appear opposite to the face containing 5 number ?

A
3
B
1
C
2
D
4
Soln.
Ans: d
In these two positions one of the common face having 1 number is in the same position. Therefore 4 is opposite to 5.

### Question 2

Two positions of a dice are shown below. Which number will be on the top when 2 number is at the bottom ?

A
5
B
4
C
6
D
1
Soln.
Ans: d
One common face having number 3 is in the same position. Hence face 1 is opposite face 2.

### Question 3

Study the three different positions of a cube given below and answer the question.

The alphabet on the face opposite to F is

A
A
B
D
C
E
D
Can't determined.
Soln.
Ans: b

If we once turn figure 1 clockwise, then figure 3 is obtained. So D is opposite F.

### Question 4

Six cubes with their upper faces erased are as shown.

The sum of the numbers on the opposite faces is 7.

If even numbered dice have even numbers on their top faces, then what would be the sum of the numbers on the faces of these three dice ?

A
12
B
14
C
18
D
24
Soln.
Ans: c

Consider this deduction:

1. Dice 4 has 6 at its top because 2 and 4 are already visible.
2. For dice 2 we know that the number 2 is opposite 5 because 2 + 5 = 7 is given. So, 2 and 4 are revealed, and, so number 6 is on its top as well.
3. For dice 6 we know that the number 2 is opposite the face with number 5 because 2 + 5 = 7 is given. So the even number 6 will be on it's top.

The sum of the numbers on the tops of the even numbered faces is 6 + 6 + 6 = 18.

### Question 5

Four views of a cube are shown below. Study each view and answer the question below.

In figure 1, which alphabet is below the A ?

A
B
B
C
C
E
D
F
Soln.
Ans: b

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