Two different positions of the same dice are shown below. Which number is opposite 3?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option A — 5
Detailed Solution
In (i), 1 and 2 touch 3. In (ii), 4 and 6 touch 3.
So 1, 2, 4 and 6 are the four faces adjacent to 3.
A face has exactly four neighbours, so the only number left, 5, is opposite 3.
⚠ Common trap
Do not use the 'opposite faces add up to 7' rule; this is a general dice, and (A) is found only from the figures.Quick tip
Faces seen together with a face can never be opposite it; the face never seen with it is opposite
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Ask a doubtMore Cube & Dice Questions
View all ›- Q1.A cube painted red on all its faces is cut into 64 identical smaller cubes. How many of the smaller cubes have exactly two faces painted?
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- Q4.Three different positions of the same dice are shown below. Which number is on the face opposite to 2?
- Q5.Two positions of the same dice are shown below. Which number is on the face opposite to 5?
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Cube & Dice — Preparation
This question tests your understanding of Cube & Dice, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Cube and dice questions test visualisation. Dice questions show one or more positions of a die and ask which number or symbol is opposite a given face. Cube questions describe a large painted cube cut into smaller identical cubes and ask how many small cubes have paint on three, two, one or no faces. For dice, if two positions share a common face, the faces in the same position relative to it are opposite each other. Faces that appear together in any single view can never be opposite. For a painted cube cut into n x n x n small cubes, 8 have three painted faces, 12(n - 2) have two, 6(n - 2)^2 have one, and (n - 2)^3 have none. These formulas solve most cube questions instantly. Practise the cube and dice questions below, each with a step-by-step solution.