MCQ: Cubes and Dice - 3(Hard) - SSC CGL MCQ

Total cubes 26

Total cubes = 9

Number 1 is common to both the figures (i) and (ii). The dice in fig. (ii) is assumed to be rotated so that 1 dot moves to the top face i.e to the same position as in figure (i) and 2 and 4 dots move to the face behind the faces with 3 and 5 dots respectively. Clearly by combination, 3 dots lie on the face opposite the face having 2 dots. Therefore, when there are 2 dots at the bottom, the number of dots at the top will be 3.

as per the question, sum of the numbers on opposite sides or faces is always 7. Therefore
1 appears opposite 6,
2 appears opposite 5 and
3 must appears opposite of 4.
In (a) 1 cannot adjacent to 6 In (b) 3 cannot adjacent to 4 In (d) 2 cannot appears adjacent to 5 Hence only option (c) is correct.

For the better understanding take a dice and apply the same steps which is mentioned above.

(iii) will be eliminated as the separation present on the two faces which is possible and option (iv) as the separation is not on the middle of the face.

On the basis of question figure pattern ,we can see that
Six faces of the dice are A, B, C, D, E and F. A is adjacent to B. E is adjacent to D and F.
Hence , E is the side opposite to A .

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According to given dice , we can say that
Two, three, four and six dots are on the faces adjacent to one dot.
Therefore, five dots are on face opposite one dot.
One dot, three dots and five dots are on the faces adjacent to two dots.
From the second view of the cube it is clear that four dots are on the face adjacent to two dots.
Therefore, six dots are on the face opposite two dots.

As per the given pattern in question figure , we can find the similar next position of given dice .
From the two views of the dice it is clear that number 4 will be at the top when 3 is at the bottom.

On the basis of following pattern in given dices , we can say that
Here the common faces with 3 dots are in same positions .Thus , When ‘2’ is at the bottom, number '1’ will be on the top.

According to the rule (2) of dice , we have
There are respectively one, three, five and six dots on faces adjacent to the face having two dots.
So, four dots lies on the face opposite to the two dots.
Therefore, six dots are on the face opposite to one dot.

On the basis of above given pattern in dice , we get
The numbers 2, 3, 4 and 5 cannot be on the face opposite to 1.
Therefore, 6 lies opposite 1.

On the basis of question figure pattern ,we can find the numbers of blocks .
Total number of blocks in given figure = 4 + 3 = 7
There are seven blocks in the given figure.

We follow the given pattern :-
From Ist and IInd figures the numbers 1, 2, 5 and 6 cannot be on the face opposite the number 4.
Therefore, 3 lies opposite 4.

On the basis of following pattern in given dices , we can say that
Clearly, the similar figures will be on the opposite faces of one another.

On the basis of following pattern in given dices , we can say that
From the two views of cube it is clear that ‘3’ lies opposite to ‘1’.