Construction of Boxes MCQ Quiz - Objective Question with Answer for Construction of Boxes - Download Free PDF

The faces opposite to each other is shown below:

The opposite sides are:

1)  → This cube can be formed as no two opposite faces appear together on the same dice. 

2)  → This cube cannot be formed as  and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

3)  → This cube cannot be formed as  and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

4)  → This cube cannot be formed as  and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

Hence, ‘option 1’ is the correct answer.

According to the question:

The shaded element in figure 1 should be horizontal. Therefore, figure 1 cannot be formed and options 3 and 4 get eliminated.

As 4 plain faces are available, figure 4 can be formed.

Therefore, option 2 gets eliminated.

By rotating figure 1, we can obtain figures 2 and 3.

Thus, only figures 2, 3 and 4 can be formed.

Hence, "Option 4" is the correct answer.

The correct answer is 90 days 

Key Points

• Relevant Provision:
  • Section 148A(5) of the Code of Civil Procedure, 1908
• What is a Caveat?
  • A caveat is a formal notice filed by a person to ensure that no order is passed without giving them an opportunity to be heard.
• Duration of Validity:
  • As per Section 148A(5), a caveat remains operative for 90 days from the date of filing, unless renewed.
• Purpose:
  • To prevent ex parte orders against the caveator and uphold the principles of natural justice.

Additional Information

• 15 days: No such time limit is prescribed for caveats.
• 30 days: Confused with limitation for certain applications, not caveats.
• 60 days: Not relevant for caveat validity under CPC

When the box will be constructed, the following symbols will be opposite to each other as shown below:

So, when the box will be constructed, the symbols  will be opposite to each other.

Hence, option 4)  is the correct answer.

When the box will be constructed, the following symbols will be opposite to each other as shown below:

So, when the box will be constructed, the symbols Blue and Orange will be opposite to each other.

Hence, option 3) Blue and Orange is the correct answer.

The faces opposite to each other are shown below:

⇒ As the alternate positions becomes opposite to each other and the remaining two faces becomes opposite to each other.

So, opposite pairs are:

• 1 → 5
• 2 → 6
• 3 → 4

Therefore, according to the question :

• Given figure A → 
• ⇒ Can be formed as a cube from the given sheet (As 2,5 and 3 are one of the numbers of each opposite pairs)
• Given figure B → 
• ​⇒ Cannot be formed as a cube from the given sheet (As 5 is opposite to 1)
• Given figure C → ​
• ⇒ Cannot be formed as a cube from the given sheet (As 2 is opposite to 6)
• Given figure D → 
• ​⇒ Cannot be formed as a cube from the given sheet (As 5 is opposite to 1)

​Here, Only figure A can be formed as a cube from the given sheet.

Hence, "Only A" is the correct answer.

The opposite sides of cubes are

Now look at the options

 → This figure cannot be the answer because from the above figure it is clearly seen that the face S is opposite to face T but in this figure face S is adjacent to the face T.

 → This figure cannot be the answer because from the above figure it is clearly seen that the face P is opposite to face R but in this figure face P is adjacent to the face R.

 → This figure cannot be the answer because from the above figure it is clearly seen that the face U is opposite to face Q but in this figure face U is adjacent to the face Q.

 → This figure satisfies the above conditions, Hence this figure will be the answer figure.

Hence, the correct answer is Option (4).

CONCEPT :

Types of figure generally given in the exams.

The clearly seen alternate position of the open dice becomes the opposite pair after folding and the two remaining faces also become opposite to each other.

Here, In every figure:

A is opposite to C.

B is opposite to D.

Thus the remaining, E is opposite to F.

EXPLANATION :

The alternate position of faces becomes opposite to each other, as shown below:

The opposite pairs are (6-1), (3-5), and (4-2).

The face opposite to the face having the number 6 is 1.

CONCLUSION :

Hence, the correct answer is 1.

The opposite sides are given below-

So, when the sheet in fig. (V) is folded to form a cube, then the face bearing a square lies opposite to the face bearing a circle.

Therefore, the cubes shown in figures (a) and (b) which have the faces bearing the square and the circle adjacent to each other, cannot be formed.

Hence, only the cubes in figures (c) and (d) can be formed.

In the given figure the opposite faces are:

Here, the opposite faces are 3 ⇔ 4, 1 ⇔ 6, and 2 ⇔ 5.

Opposite faces are not on the adjacent side of the dice.

The opposite pair 2 ⇔ 5 in option(1) and 1 ⇔ 6 is in options (2) and (3).

Hence, the correct answer is "Option (4)".

Note: Two opposite faces are never seen together or adjacent to each other:

In Figure, I: None of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

In Figure II: None of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

In Figures III: D and J are opposite faces but here they are seen together which is wrong. Thus this cube cannot be made.

In Figure IV: H and C are opposite faces but here they are seen together which is wrong. Thus this cube cannot be made.

Thus Figures III, and figure IV cannot be formed by folding the dice.

Hence, the correct answer is "III and IV". 

Additional Information

• Dices are of two types :

1.  Standard Dice
2. Non-Standard Dice.

• Dice has:-

1. faces = 6
2. sides = 12
3. corners = 8

• Two opposite faces never seen together.
• Adjacent faces are never opposite to each other.

To make 64 cubes, we would have to cut cubes as shown below.

 N³ = 64, N=4cm ( N is the length of the side of the original cube)

Cubes painted on three sides = 8

Cubes painted on two sides = 12(n-2)= 2 × 12 = 24

Cubes painted on one side =6 (n-2)²= 4 × 6 = 24

24 + 24 + 8 = 56

Cubes that are not painted = 64 – 56 = 8

Hence, “8” is the correct answer.

The fig. (X) is similar to the Form V. So, when the sheet in fig. (X) is folded to form a cube, then the face bearing a dot appears opposite to a blank face, the face bearing a ''

sign appears opposite to another blank face and the face bearing a circle appears opposite to the third blank face. Clearly, all the four cubes shown in figures (a), (b), (c) and (d) can be formed.

Faces opposite to each other is shown below:

1. → Cannot be formed (As, 6 and 2 are opposite faces. So, they cannot appear at the same time on the dice)

2. → Cannot be formed (As, 4 and 3 are opposite faces. So, they cannot appear at the same time on the dice)

3. → Can be formed.

4. → Cannot be formed (As, A and C are opposite faces. So, they cannot appear at the same time on the dice)

Hence, 'option 3' is the correct answer.

The faces opposite to each other is shown below:

The opposite sides are:

1)  → This cube cannot be formed as  and  faces is opposite faces and no two opposite faces can appear together on the same dice.

2)  → This cube cannot be formed as  and  faces is opposite faces and no two opposite faces can appear together on the same dice.

3)  → This cube cannot be formed as  and  faces is opposite faces and no two opposite faces can appear together on the same dice.

4)  → This cube cannot be formed as  and  faces is opposite faces and no two opposite faces can appear together on the same dice.

Hence, ‘option 1’ is the correct answer.