# Cubes and Dice Questions

Q:

What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:

 A) 1 B) 2 C) 3 D) 6

Explanation:

From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.

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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.

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

Explanation:

when a cube is formed by folding the sheet shown in fig. (A), then   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

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

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Q:

Two positions of a block are shown below: When six is at the bottom, what number will be at the top?

 A) 1 B) 2 C) 4 D) 5

Explanation:

From figures (i) and (ii) we conclude that the number 1, 2, 3 and 4 appear adjacent to 6. Thus, the number 5 will appear opposite 6. Therefore, when six is at the bottom, then 5 will be at the top.

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Q:

A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

Which symbol is opposite the dot?

 A) Circle B) Triangle C) Arrow D) Cross

Explanation:

From figures X and Y, we conclude that dot, circle, square and cross lie adjacent to the triangle. Therefore, the arrow must lie opposite the triangle. From figures X and Z, we conclude that dot, triangle, arrow and cross lie adjacent to the circle. Therefore, the square must lie opposite the circle. Thus, the arrow lies opposite the triangle, the square lies opposite the circle and consequently, the cross lies opposite the dot.

As analysed above, the cross lies opposite the dot.

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Q:

Count the number of cubes in the given figure.

 A) 80 B) 87 C) 89 D) 90

Explanation:

In the figure, there are 9 columns containing 5 cubes each, 7 columns containing 4 cubes each, 5 columns containing 3 cubes each and 1 column containing 1 cube.

$∴$Total number of cubes = (9 x 5) + (7 x 4) + (5 x 3) + (1 x 1) = 89

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

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Q:

Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies opposite 6?

 A) 1 B) 2 C) 4 D) 5

Explanation:

From positions X and Y we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions Y and Z we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6. Thus, 2 lies opposite 4, 1 lies opposite 6 and consequently 5 lies opposite 3.

As analysed above, 1 lies opposite 6.

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Q:

Find the total number of cubes in the given figure ?

 A) 56 B) 60 C) 64 D) 72

Explanation:

(Total numbers of cubes in a line  x  Number of stack / tower) + ...

= (6x1)+(5x2)+(4x3)+(3x4)+(5x2)+(6x1)

= 6+10+12+12+10+6 = 56