DICE

1) Four different positions of the same dice are taken below  Find the number on the face opposite the face showing 4?

A) 6 B) 5 C) 2 D) 1

2) A dice is thrown 3 times and its three different positions are given below. Find the number on the face opposite the face showing 3.
A) 1 B) 4 C) 5 D) 6 

3) Two different positions of a dice are given below. What will be the number of dots on the face opposite the face having two dots ?
A) 1 B) 3 C) 6  D) cannot be determined 

EXERCISE - 1

1) The four different positions of a dice are given below:
Which number is on the face opposite 6?
A) 1 B) 2 C) 3 D) 4

2)  How many dots are there on the dice face opposite the one with three dots ?
A) 2 B) 4 C) 5 D) 6 

3) What number is opposite 3, if 4 different positions of a dice are shown below ?
A) 6 B) 4 C) 3 D) 2 

4) Show below are four different positions of the same dice. Find the number on the face opposite the face showing 6.
A)  1 B) 2 C) 4 D) 5

5) Which number is on the face opposite 4, if the four different positions of a dice are as shown in the figure given below.
A) 5 B) 3 C) 2 D) 1

6) A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing two ?
A) 3 B) 4 C) 5 D) 6

7) Four positions of a dice are shown below. What number must be at the bottom face when the dice is in the position at shown in (iii) ?
A) 1 B) 2 C) 4 D) 6

8)  if the total number of dots on opposite faces of a cubical block is always 7, find the figure which is correct.
9) Amongst the following figures, find the correct one, if it is known that the total number of dots on opposite faces of the cube shown is always 7.
10) Four usual dice are thrown on the ground. The total numbers on the top faces of these four dice is 13 as the top faces showed is 4, 3, 1, 5 respectively. What is the total of the faces touching the ground ?
A) 12  B) 13  C) 15  D) cannot be determined 

** Directions: Question 11 to 13 based on the following illustrations, which are four views of a cube.
14) Three positions of a dice are given. Based on them, find out which number is found opposite the number 2 in the given cube.
A) 6 B) 5 C) 3 D) 1 

15) 3 different positions of a dice are shown below. How many dots lie opposite 2 dots ?
A) 1 B) 3 C) 5 D) 6 

16) Below are depicted the three different positions of a dice. Find the number of dots on the face opposite to the face with one dot.
A) 2  B) 3  C) 4  D) 6 

17) Given below are 3 different positions of a dice. Find the number of dots on the face opposite the face bearing 3 dots.
A) 4  B) 5  C) 6  D) cannot be determined

18) The 6 faces of a dice have been marked with alphabets A, B, C, D, E and F respectively. This dice is rolled down three times. The three positions are shown as:
 Find the alphabet opposite A 
A) C B) D C) E D) F

19) Three different position X, Y, Z of a dice are shown in the figure given below. Answer the following questions which are based upon these figures.
(i) Which number lies at the bottom face in the position X ?
A) 2 B) 3 C) 6 D) cannot be determined

(ii) Which number lies at the bottom face in position Y ?
A) 1 B) 2 C) 5 D) cannot be determined

iii) Which number lies opposite 6 ?
A) 1 B) 2 C) 4 D) 5 

(iv) Which numbers are hidden behind the number 6 and 5 in the position Z ?
A) 1 and 4 B) 1 and 3 C) 4 and 3 D) 1 and 2

v)  Which of the hidden numbers adjacent to 5 in position X is/are common to the hidden numbers adjacent to 5 in position Z ?
A) 1 and 4 B) 2 C) 6  D) none 

20) A cube has six different symbols drawn over at 6 faces. The symbols and dot, circle, triangle, square, cross and Arrow. 3 different position of the cubes are shown in the figures X, Y and Z.
Answer the following questions based upon these figures :
i) Which symbol is opposite the dot ?
A) circle  B) triangle C) Arrow D) cross

ii) Which symbol is opposite the Arrow ?
A) circle  B) triangle C) dot D) cross

iii)  Which symbol occurs at the bottom of figure Y ?
A) Arrow B) triangle C) circle  D) dot 

21) Two positions of a dice are shown below. If the face with one dot is at the bottom, then the number of dots on the top is
A) 2 B) 3 C) 4 D) 5 

22) What will be the number at the bottom, if 5 is at the top, the two positions of the dice being is given below :
A) 1 B) 2 C) 3 D) 6 

23) A dice is roll twice and the two positions are shown in the figures below. What is the number of dots at the bottom face when the dice is in position (i) ?
A) 1 B) 5 C) 6 D) cannot be determined

24) Two positions of a dice are shown. When 4 is at the bottom, what number will be on the top ?
A) 1 B) 2 C) 5 D) 6 

25) What number is opposite 3 in the figure shown below ? The given two positions are of the same dice whose each surface bears a number among 1, 2, 3, 4, 5 and 6.
A) 2 B) 4 C) 5 D) 6 

26) 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

27)  Two positions of a dice are shown below. Identify the number at the bottom on the top is 3 ?
A) 2 B) 4 C) 5 D) 6

28) Two positions of a cube are shown below. When the number 4 will be at the bottom, then which number will be at the top ?
A) 3 B) 5  C) 6 D) cannot be determined

29) two positions of a dice are shown below. When number one is on the top, what number will be at the bottom?
A) 2 B) 3 C) 5 D) cannot be determined

30) Two positions of a dice with one to six dots on its sides are shown below. If the dice is resting on the side with 3 dots, what will be the number of dots on the side of the top ?
A) 1 or 5 B) 2 B) 3 C) 5


31) Two positions of a block are given below. When 1 is at the top, which number will be at the Bottom ?
A) 2  B) 3  C) 4  D) 6 

32) 2 positions of a dice are shown below. Where there are two dots at the bottom, the number of dots at the top will be
A) 3 B) 5 C) 6 D) cannot be determined

33) Two positions of a dice are shown below:
When 2 is at the bottom, what number will be at the top ?
A) 6 B) 4 C) 1 D) 5

34) Two positions of block are shown below. When 2 is at the bottom, which number will be at the top ?
A) 1 B) 4 C) 6 D) cannot be determined

35)  Two positions of a parallelopiped are shown below. When the number 3 will be on the top side, then which number will be at the bottom ?
A) 1 B) 4 C) 5 D) 6 

36) two positions of a block are shown below :
 When 6 is at the bottom, what number will be at the top ?
A) 1 B) 2 C) 4 D) 5

37) In a dice a, b, c and d are written in the adjacent faces, in a clockwise order and e and f at the top and bottom. When c is at the top, what will be at the bottom ?
A) a B) b C) c D) data insufficient 

38) Each of the 6 faces of a cube is  numbered by one of the 6 digits from 1 to 6. This cube is shown in its four different positions in the figure (i),(ii), (iii) ,(iv).
Consider the following statement:
I.  FIGURE (ii) and (iii) are sufficient to know as to which face is opposite to the face numbered 6.
II. FIGURE (ii) and (iii) are sufficient to know as to which face is opposite to the face numbered 4.
III. FIGURE (i),(uv) are sufficient to know as to which face is opposite to the face numbered 3 .
Which of the statements given above are correct ?
A) I and III only  B) I and II only 
C) II and III only C) I, II and III

** Directions: the questions from 39 to 43 are based on a dice numbered 1 to 6 in different ways as indicated :

39) If one is adjacent to 2, 4 and 6, then which of the following statements is necessarily true ?
A) 2 is opposite to 6  B) 1 is adjacent to 3 C)  3 is adjacent to 5 D) 3 is opposite to 5

40) if one is opposite to 5 and 2 is opposite to three, then 
A) four is adjacent to 3 and 6
B) 2 is adjacent to 4 and 6 
C) 4 is a adjacent to 5 and 6 
D) 6 is adjacent to 3 and 4

41) if 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?
A) 4 Is adjacent to  6
B) 2 is adjacent to 5
C) 1 is adjacent to 6
D) 1 is adjacent to 4

42) If 1 is opposite to 2 and adjacent to 3 and 4, then which of the following statements is necessarily true?
A) 2 is adjacent to 6
B) 3 is adjacent to 4
C) 4 is opposite to 6
D) 3 is opposite to 5

43) If 2 is opposite to 3 and adjacent to 4 and 6, then which of the following statements is necessary true ?
A) 1 is opposite to 5 
B) 4 is opposite to 6 
C) 4 is adjacent to 2 and 6 
D) 1 is adjacent to 2 and 3 

44) 6 dice with their upper faces erased are as shown:
 The sum of the numbers of dots on the opposite faces is 7.
i) if the dice I, II and III have even number of dots on their bottom faces, then what would be the total number of dots on the top faces?
A) 7  B) 12 C) 14  D) 21 

ii) If the dice I, II, and III have even number of dots on their bottom faces and the dice IV, V, and VI have odd number of dots on their top faces, then what would be the difference in the total number of top face dots between these two sets ?
A)  0 B) 1 C) 2 D) 3

iii) If odd numbered dice have odd number of dots on their bottom faces, what would be the total number of dots on the top faces of these dice ?
A) 4 B) 6 C) 10 D) 12

iv) If even numbered dice have even number of dots on their top faces, what would be the total number dots on the top faces of these dice ?
A) 18 B( 14 C) 12 D) 10 

45) The lateral sides of a block in the shape of a 6 sided prism is painted in violet, blue , green, yellow, orange and red. Two of its positions are shown below :
When the block is laid as in the figure given below, then what are the colours adjacent to the red side ?
A) yellow and Orange 
B) Yellow and Blue 
C) violet and yellow
D) violet and orange

46) A cylinder is painted in 6 colours-- green, blue, yellow, violet , red and orange. 3 positions at shown below :
What is the colour in the empty space ?
A) blue B) green C) violet D) yellow


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