# Cubes and Dice Quiz Set 04

### Question 1

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 2

Six cubes with their upper faces erased are as shown.

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

If the dice (1), (2) and (3) have even numbers on their bottom faces then what would be the sum of the numbers on their top faces?

A
7
B
11
C
12
D
14
Soln.
Ans: b

Since the sum of digits on opposite faces is 7, faces with odd digits would have even digits opposite them. Hence, the digits at the top of all these dice are odd. Let's deduce them. To find the odd number at the top, we should prove that two out of the three odd numbers 1, 3 and 5 appear on the sides. Then the third will automatically be on the top.

1. Dice 1: The number opposite 6 is 1, and the number 3 is already visible, so the number at the top is 5.
2. Dice 2: The number opposite 4 is 3, so the number at its top is 1.
3. Dice 3: The number opposite 6 is 1, the number opposite 4 is 3, so the number at the top is 5.

The sum is: 5 + 1 + 5 = 11.

### Question 3

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

In figure 2, which alphabet is opposite the D ?

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

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

### Question 4

A dice has numbers 1, 2, 3, 4, 5 and 6 on its faces. Four positions of the dice are as shown below. The number on the face opposite to the face with number 6 is

A
1
B
3
C
4
D
5
Soln.
Ans: c

From the first and last figures we can deduce that 1, 3 and 5 cannot be opposite 6. Sir Arthur Conan Doyle's logic: "When you have eliminated the impossible, whatever remains, however improbable, must be the truth." So 4 is the answer.

### 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.

Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer