Cubes and Dice Questions

Q:

Count the number of cubes in the given figure.

A) 130 B) 132
C) 138 D) 140
 
Answer & Explanation Answer: D) 140

Explanation:

In the figure, there are

 

5 columns containing 4 cubes each;

 

33 columns containing 3 cubes each;

 

9 columns containing 2 cubes each and 3 columns containing 1 cube each.

 

 Total Number of cubes = ( 5 x 4) + (33 x 3) + (9 x 2) + (3 x 1) = 20 + 99 + 18 + 3 = 140

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Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

111484628842.png image

      (A)

1111484628875.png image

A) Option 1,2 and 3 B) Option 1,3 and 4
C) Option 2 and 3 D) Option 2,3 and 4
 
Answer & Explanation Answer: B) Option 1,3 and 4

Explanation:

When the sheet in fig. (A) is folded, then one of the faces of the cube formed will be of the form 14-11484629084.png image  and this face will lie opposite the face bearing a square. Also, one of the blank faces lies opposite another blank face and the third blank face lies opposite the face bearing an '=' sign. Clearly, all the three blank faces cannot appear adjacent to each other. So, the cube shown in fig. (2) which has all the three blank faces adjacent to each other cannot be formed. Hence, only the cubes shown in figures A, C and D can be formed.

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Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?

A) 2 is opposite to 6 B) 1 is adjacent to 3
C) 3 is adjacent to 5 D) 3 is opposite to 5
 
Answer & Explanation Answer: C) 3 is adjacent to 5

Explanation:

If 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).

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Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?

A) 4 is adjacent to 6 B) 2 is adjacent to 5
C) 1 is adjacent to 6 D) 1 is adjacent to 4
 
Answer & Explanation Answer: A) 4 is adjacent to 6

Explanation:

If 1 is adjacent to 2, 3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.

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Q:

How many dots are there on the dice face opposite the one with three dots?

A) 2 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

Explanation:

From figures (i), (ii) and (iv), we conclude that 6, 4,1 and 2 dots appear adjacent to 3 dots. Clearly, there will be 5 dots on the face opposite the face with 3 dots.

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272 22938
Q:

A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.

A) 56 B) 48
C) 32 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:

We know that Cubes with no surface painted can be find using x-23, where x is number of cuttings. Here x=6.

  6-23=64

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Q:

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?

A) 12 B) 13
C) 15 D) Cannot be determined
 
Answer & Explanation Answer: C) 15

Explanation:

In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.

 

Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.

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128 16913
Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

121484628399.png image

      (A)

1211484628442.png image

A) Option 1,2 and 3 B) Option 1,2 and 4
C) Option 2 and 3 D) Option 2,3 and 4
 
Answer & Explanation Answer: D) Option 2,3 and 4

Explanation:

when a cube is formed by folding the sheet shown in fig. (A), then 22-11484628706.png image  is one of the faces of the cube and this face lies opposite to a blank face. Also, a face bearing a square lies opposite to another blank face. The remaining two blank faces lie opposite to each other. Clearly, in the cube shown in fig. (1), the face consisting of the four symbols is not the same as that formed (as shown above). Hence, the cube in fig. (1) cannot be formed

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Filed Under: Cubes and Dice - Non Verbal Reasoning
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