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Q:

Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?

A) 2 B) 3
C) 6 D) Cannot be determined

Answer:   A) 2

Explanation:

We shall assume the dice in fig. (ii) to be rotated so that the 5 dots appear at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity 1) and 1 dot appears at the same position as in fig; (i) i.e. on Front face (i.e. on face I). Then, from the, two figures, 2 dots appear on the top face (i.e. on face V) and 4 dots appear on the Bottom face (i.e. on face VI).

Since, these two faces are opposite to each other, therefore, two dots are contained on the face opposite to that containing four dots.

Q:

Count the number of cubes in the given figure.

A) 130 B) 132
C) 138 D) 140
 
Answer & Explanation Answer: D) 140

Explanation:

In the figure, there are

5 columns containing 4 cubes each;

33 columns containing 3 cubes each;

9 columns containing 2 cubes each and 3 columns containing 1 cube each.

 Total Number of cubes = ( 5 x 4) + (33 x 3) + (9 x 2) + (3 x 1) = 20 + 99 + 18 + 3 = 140

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5 1505
Q:

Count the number of cubes in the given figure.

A) 45 B) 46
C) 48 D) 49
 
Answer & Explanation Answer: B) 46

Explanation:

In the figure, there are 21 columns containing 2 cubes each and 4 columns containing 1 cube each. 

 

 Total number of cubes = (21 x 2) + (4 x 1) = 42 + 4 = 46

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2 458
Q:

Count the number of cubes in the given figure.

A) 80 B) 87
C) 89 D) 90
 
Answer & Explanation Answer: C) 89

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

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4 345
Q:

Count the number of cubes in the given figure.

A) 64 B) 66
C) 68 D) 70
 
Answer & Explanation Answer: C) 68

Explanation:

In the figure, there are 34 columns containing 2 cubes each.

 Total number cubes = (34 x 2) = 68

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7 328
Q:

Count the number of cubes in the given figure.

A) 8 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

Clearly, there are 4 columns containing 1 cube each, 4 columns containing 2 cubs each and 1 column containing 3 cubes.

Hence, there are (4 x 1) + (4 x 2) + (1 x 3) = 4 + 8 + 3 = 15 cubes in the given figure.

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4 376