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**Q.1. A dice with six faces is marked with six numbers 1, 2, 3, 4, 5 and 6 respectively. This dice is rolled three times and three positions are shown as:****Find the number opposite to 1.**

A. 2

B. 6

C. 5

D. 4**Answer: CExplanation: **

From figures (ii) and (iii), we can conclude that the numbers 2, 4, 3, and 6 appear adjacent to the letter 5. Therefore, the number 1 appears opposite to 5. In other words, 5 appears opposite to 1.

A. E

B. F

C. D

D. A

From figures (i) and (ii), we can conclude that the alphabets C, D, A and E lie adjacent to the alphabet F. So, the alphabet B lies opposite F and conversely F lies opposite B.

A. B

B. A

C. F

D. E

From figures (i), (ii) and (iv), we can conclude that F, D, C and A lie adjacent to B. Hence, E must lie opposite to B.

A. 4

B. 2

C. 1

D. 3

**Answer: CExplanation:**

The pattern on the fig. (X) and the fact that the faces are rectangular and fig.(2) is eliminated as dot on the upper face is on left side instead of right.

Fig. (3) and fig.(4) also get eliminated as the smaller rectangular faces should be blank instead of having a dot on them.

So, fig.(1) is the only possible fig as it is having three blank faces adjacent to each other.

The sum of the numbers of dots on the opposite face is 7.

A. 22

B. 3

C. 10

D. 24

Explanation:

Even numbered dice are: (II), (IV) and (VI)

Number of dots on the top face of (II) dice = 1

Number of dots on the top face of (IV) dice = 1

Number of dots on the top face of (VI) dice = 1

Therefore, the required total = 1+1+1=3

A. 11

B. 12

C. 13

D. 14

Explanation:

Odd numbered dice are : (II), (III) and (V)

Numbers of dots on the top faces of these dice are 5, 5 and 3 respectively.

Required total = 5+5+3=13|

A. 0

B. 3

C. 1

D. -5

Explanation:

Number of faces on the top faces of the dice (I), (II) and (III) are 5, 1 and 5 respectively.

Therefore, the total of these numbers = 5 + 1 + 5 = 11

Number of dots on the top faces of the dice (IV), (V) and (VI) are 6, 4 and 6 respectively.

Therefore, the total of these numbers = 6+4+6=16

Required difference = 11 -16=-5**Q8. If the odd numbers of dice have an even number of dots on their top faces and an even numbered dice have an odd of dots on their bottom faces, then what is the total number of dots on their top faces?**

A. 26

B. 12

C. 16

D. 18**Answer: AExplanation: **

Number of dots on the top faces of the dice (II), (IV) and (VI) are 2, 2 and 4 respectively.

Number of dots on the top faces of the dice (I), (III) and (V) are 6, 6 and 6 respectively.

Required total = 2 + 2 + 4 + 6 + 6 + 6 =26

A. 7

B. 14

C. 12

D. 11

Explanation:

No. of dots on the top faces of dice (I), (II) and (III) are 5, 1 and 5 respectively.

Required total = 5 + 1 + 5 = 11

A. Golden

B. Purple

C. Brown

D. Green

Explanation

The colors adjacent to grey are green, pink, purple and brown. Hence golden will be opposite to grey.

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