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1. Counting the Number of Cubes / Blocks.

Correct Answers :

[C]

Explanation :

There is 6 columns with 2 cubes each. Total boxes = 6 × 2 = 12, option (c)

2. Counting the Number of Cubes / Blocks.

Correct Answers :

[A]

Explanation :

There are total 4 rows and 5 boxes in each row, then 5 × 4 = 20 boxes. Option (a)

3. Counting the Number of Cubes / Blocks.

Correct Answers :

[A]

Explanation :

There are total 42 cubes present in the upper portion.

Then total cubes be 42 × 2 = 84

or

24 columns with 2 cubes each = 24 × 2 = 48

14 columns with 2 cubes each = 28

4 columns with 2 cubes each = 8

Total cubes = 48 + 28 + 8 = 84, hence option (a)

4. Counting the Number of Cubes / Blocks.

Correct Answers :

[B]

Explanation :

4 columns with 1 cubes = 4 cubes

1 columns with 3 cubes = 3

1 columns with 4 cubes = 4

Total cubes = 4 + 3 + 4 = 11, option (b)

5. Counting the Number of Cubes / Blocks.

Correct Answers :

[B]

Explanation :

Total cubes 25, option (b)

6. Counting the Number of Cubes / Blocks.

Correct Answers :

[C]

Explanation :

One column with 10 boxes = 1 × 10 = 10

Two column with 7 boxes = 2 × 7 = 14

One column with 4 boxes= 1 × 4 = 4

Total boxes = 28, hence option (c)

7. Counting the Number of Cubes / Blocks.

Correct Answers :

[B]

Explanation :

Total cubes = 9

8. Counting the Number of Cubes / Blocks.

Correct Answers :

[C]

Explanation :

There are 9 columns with 5 cubes = 9 × 5

There are 7 columns with 4 cubes = 7 × 4

There are 5 columns with 3 cubes = 5 × 3

There are 3 columns with 2 cubes = 3 × 2

There is one column with 1 cubes = 1 × 1

Total = 9 × 5 + 7 × 4 + 5 × 3 + 3 × 2 + 1 × 1 = 81

9. Counting the Number of Cubes / Blocks.

Correct Answers :

[D]

Explanation :

Option (d), i.e 15 × 3 + 13 × 2 + 11 × 1 = 82 cubes

10. Counting the Number of Cubes / Blocks.

Correct Answers :

[C]

Explanation :

Option (c) there are 20 cubes.

11. Two Position of a dice are shown below:

When six is at the bottom, what number will be at the top?

When six is at the bottom, what number will be at the top?

Correct Answers :

[D]

Explanation :

From both the figures we find that numbers 1,2,3 and 4 dots appear adjacent to 6 . thus, the number 5 dots will appear opposite to 6. Therefore when 6 is at the bottom, then 5 will be at the top.

12. Two positions of a block are shown below. When 2 is
at the bottom which number will be at the top?

Correct Answers :

[C]

Explanation :

Number three is common in both the figures we assume the block in figure (ii) to be rotated so that three appears at the same position as in figure (i) and the numbers 5 and 2 move to the faces hidden behind the numbers 4 and 6 respectively. Thus the combined figure will have 3 on right hand side face, 4 on the front face, 6 on the top face, 5 on the rear face and 2 on the bottom face. Clearly when 2 is at the bottom, then 6 is at the top.

13. Two positions of a block are shown below. When 2
dots is at the bottom which number of dots will be at
the top?

Correct Answers :

[A]

Explanation :

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.eto 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.

14. Two positions of a dice are shown below. When 1 is
at the top which number will be at the bottom?

Correct Answers :

[C]

Explanation :

Option (c) as we can observe the position of 6 is same in both the figures and position of 4 moves from Right hand side to Left hand side (clock wise direction). Clearly we can observe that 5 is just opposite of number 1.

15. Two positions of a dice are shown below. When 3 is
at the top which number will be at the bottom?

Correct Answers :

[C]

Explanation :

Option (c) as number 6 position is same in both the figures. We can assume that the dice to be rotated so that 6 remains on the same face and 1,3,4 and 5 will be arranged ascending order as all are adjacent to 6. Hence, when 3 is in top, 5 will be at bottam.

16. What number is opposite of 3 in the figure shown
below?

Correct Answers :

[C]

Explanation :

Option (c) as 5 is common on both the figure, and 1,2,4 and 6 are adjacent to 5 . hence 3 is opposite of 5.

17. How many dots are contained on the faces opposite
to that containing four dots?

Correct Answers :

[A]

Explanation :

Option (a) as both the figure contains one dot and 5 dots, fixing the 5 dots face and moving one dot face position to fig (i). we find 4 dots is opposite to 2 dots.

18. Below there are three different positions of a dice.
Find the number of dots on the face opposite to the
face with one dot.

Correct Answers :

[D]

Explanation :

Option (d): as 1, 3 5 and 6 are adjacent to 2 in all the three positions, if 3 is opposite to 5 that we came across from the figures. So it is obvious that one will be opposite to 6.

19. A dice is thrown four times and its four different
positions are shown below. Find the number on the
face opposite the face showing 2.

Correct Answers :

[C]

Explanation :

Option (c) from figure I, ii and iv we conclude that 6, 4, 3 and 1 lie adjacent to 2. Hence 5 be opposite of 2.

20.If the total sum of numbers on opposite faces of a cubical block is always 7, find the figure which is correct.

Correct Answers :

[C]

Explanation :

Option (c) as per the question, sum of the numbers
on opposite sides or faces is always 7. Therefore 1 apprears 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.

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