Cubes and Dice Questions

Q:

Count the number of cubes in the given figure.

 A) 130 B) 132 C) 138 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

Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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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

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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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:

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

(A)

 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   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.

Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: Bank Exams
Job Role: Bank Clerk

32 17216
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

Explanation:

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

Filed Under: Cubes and Dice - Non Verbal Reasoning
Exam Prep: CAT , Bank Exams
Job Role: Bank PO

54 14756
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

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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Q:

Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?

 A) 2 B) 3 C) 6 D) Cannot be determined