# Cubes and Dice Question & Answers

## Cubes and Dice:

A cube is a 3 dimensional object with 6 square faces, with the 3 meeting at each vertex. Dice on the other is a very similar object with dots on each side ranging from 1 to 6 respectively. In Cubes and Dice, the questions will be related to arrangement of dots on the dice in various ways, logically determine the probability of arrangement of one or two dice in a particular way etc.

How many dots are there on the dice face opposite the one with three dots?

A) 2 | B) 4 |

C) 5 | D) 6 |

Explanation:

From figures (i), (ii) and (iv), we conclude that 6, 4,1 and 2 dots appear adjacent to 3 dots. Clearly, there will be 5 dots on the face opposite the face with 3 dots.

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Submitted By: RajuSubject: Cubes and Dice - Non Verbal Reasoning

A dice is numbered from 1 to 6 in different ways.

If 1 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 |

Explanation:

If 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).

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Submitted By: RajuSubject: Cubes and Dice - Non Verbal Reasoning

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?

A) 12 | B) 13 |

C) 15 | D) Cannot be determined |

Explanation:

In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.

Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.

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Submitted By: RajuSubject: Cubes and Dice - Non Verbal Reasoning

A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

Which symbol is opposite the dot?

A) Circle | B) Triangle |

C) Arrow | D) Cross |

Explanation:

From figures X and Y, we conclude that dot, circle, square and cross lie adjacent to the triangle. Therefore, the arrow must lie opposite the triangle. From figures X and Z, we conclude that dot, triangle, arrow and cross lie adjacent to the circle. Therefore, the square must lie opposite the circle. Thus, the arrow lies opposite the triangle, the square lies opposite the circle and consequently, the cross lies opposite the dot.

As analysed above, the cross lies opposite the dot.

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Submitted By: RajuSubject: Cubes and Dice - Non Verbal Reasoning

Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies opposite 6?

A) 1 | B) 2 |

C) 4 | D) 5 |

Explanation:

From positions X and Y we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions Y and Z we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6. Thus, 2 lies opposite 4, 1 lies opposite 6 and consequently 5 lies opposite 3.

As analysed above, 1 lies opposite 6.

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Submitted By: RajuSubject: Cubes and Dice - Non Verbal Reasoning