# 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

301 61372
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

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

63 56595
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

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).

208 30718
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

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.

96 30234
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

84 30083
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.

281 24632
Q:

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

If 1 is opposite to 5 and 2 is opposite to 3, then

 A) 4 is adjacent to 3 and 6 B) 2 is adjacent to 4 and 6 C) 4 is adjacent to 5 and 6 D) 6 is adjacent to 3 and 4

Explanation:

If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers - 4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.

46 20813
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 1,2 and 4 C) Option 2 and 3 D) Option 2,3 and 4