# Cubes and Dice Quiz Set 09

### Question 1

Four views of a cube are shown below. Study each view and answer the question below. In figure 3, which alphabet will be opposite to the B ?

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

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

Four views of a cube are shown below. Study each view and answer the question below. In figure 4, which alphabet will appear opposite to the E ?

A
A
B
C
C
D
D
B
Soln.
Ans: c

The un-wrapped view of the cube is given below which explains everything. ### Question 3

Here 4 positions of a cube are shown. Which sign will be opposite to '#' ? A
\$
B
P
C
Y
D
T
Soln.
Ans: c
From position 1 and 3 common face with \$ is in the same position. Hence # is opposite Y and T is opposite A.

### Question 4

Six dice with their top faces erased have been given. The opposite faces of each dice have numbers which add to thirteen. If dice, A, B and C have odd numbers at their upper faces and dice D, E and F have even numbers on their bottom faces, then what would be the difference in the totals of top numbers of these two sets ?

A
0
B
4
C
8
D
1
Soln.
Ans: b

Since the sum of the numbers on the opposite sides is 13, one of those numbers would be odd, and the other even. So we can say the all these dice have odd numbers at the top.

1. Dice No. A: Face opposite 6 is 7 because 6 + 7 = 13. Similarly, face opposite 4 is 9. So, the numbers that appear on the sides are 4, 6, 7 and 9. Out of the remaining 5 and 10, the top face is 5.
2. Dice No. B: Face opposite 8 is 5 because 8 + 5 = 13. Similarly, face opposite 9 is 4. So, the numbers that appear on the sides are 4, 5, 8 and 9. Out of the remaining 6 and 7, the upper face is 7.
3. Dice C: Similarly, 5 is at the top.
4. Dice D: Similarly, 7 is at the top.
5. Dice E: 9 is at the top.
6. Dice F: 5 is at the top.

The difference is (7 + 9 + 5) - (5 + 7 + 5) = 4.

### Question 5

Give below are four views of a cube. Each face is marked with certain symbols. The different views of the cubes have been numbered 1 to 4. Carefully examine each view and answer the question below. In figure 2, which symbol will appear on the face opposite to the face containing "&" ?

A
\$
B
#
C
*
D
@
Soln.
Ans: b

The spread out of the cube shown below explains it all.  