Cubes and Dice Questions Non Verbal Reasoning Quiz

October 13, 2015

2711

The sheet of paper shown in the figure (X) given on the left hand side, in each problem, is folded to form a box. Choose from amongst the alternatives (1), (2), (3) and (4), the boxes that are similar to the box that will be formed.

Construction of Boxes:

The details of the cube formed when a sheet is folded to form a box:

Form I

RCC 1

In this case:

1 lies opposite 5;

2 lies opposite 4;

3 lies opposite 6.

Form II

RCC 2

In this case:

1 lies opposite 6;

2 lies opposite 4;

3 lies opposite 5.

Form III

RCC 3

In this case:

1 lies opposite 4;

2 lies opposite 6;

3 lies opposite 5.

Form IV

RCC 4

In this case:

1 lies opposite 4;

2 lies opposite 5;

3 lies opposite 6.

Form V

In this case:

1 lies opposite 3;

2 lies opposite 5;

4 lies opposite 6.

Form VI

RCC 6

In this case:

will be the one of the faces of the cube and it lies opposite 3;

2 lies opposite 4;

1 lies opposite 5.

Form VII

RCC 7

In this case:

will be the one of the faces of the cube and it lies opposite 3;

2 lies opposite 4;

1 lies opposite 5.

Form VIII

RCC 8

In this case:

and

are two faces of the cube that lie opposite to each other.

1 lies opposite 3;

2 lies opposite 4;

See Various Forms of Construction of Boxes

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Q1. Choose the box that is similar to the box formed from the given sheet of paper (X).

RCC 9

A. 1,2
B. 2,4
C. 2,3
D. 4,1

Answer: Option C

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Answer: Option C

Explanation:

The fig. (X) is similar to the Form VI. So, when a cube is formed by folding the sheet shown in fig. (X), then is one of the faces of the cube. However, the cube in fig. (1) has two such faces and fig. (4) has a face which is completely shaded. So, these two cubes cannot be formed. Hence, only the cubes in figures (2) and (3) can be formed.