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Home ‣ Non Verbal Reasoning ‣ Cubes and Dice Comments
- Question
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?
Options- Correct Answer
- 2
ExplanationWe 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.
Cubes and Dice problems
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- 1. A dice is rolled twice and the two positions are shown in the figure below. What is the number of dots at the bottom face when the dice is in position (i)?
Options
Discuss
Correct Answer: 6
Explanation:
From figures (i) and (ii) we conclude that 3, 4, 1 and 5 dots appear adjacent to 2 dots. Therefore, 6 dots must appear opposite 2 dots. Since, there are 2 dots on the top face when the dice is in position (i), therefore, the number of dots at the bottom face must be 6.- 2. Four positions of a dice are shown below. What number must be at the bottom face when the dice is in the position as shown in the figure(iii)
Options
Discuss
Correct Answer: 4
Explanation:
From figures (i), (ii), (iv) we conclude that 5, 6, 1 and 2 lie adjacent to 4. Hence, 3 must lie opposite 4 and vice-versa. In fig. (iii), 3 is at the top and consequently 4 must lie at the bottom face.- 3. In a dice a, b, c and d are written on 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?
Options
Discuss
Correct Answer: a
Explanation:
Clearly, the six faces are labelled asFace I -> a, Face IV -> b, Face III -> c, Face II -> d, Face V -> e, Face VI -> f
Therefore 'a' appears opposite 'c'.
Hence, when 'c' is at the top, then 'a' will be at the bottom.
- 4. What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:
Options
Discuss
Correct Answer: 2
Explanation:
From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.- 5. 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.
Options
Discuss
Correct Answer: 5
Explanation:
From figures (i) and (ii), we conclude that 2, 6, 1 and 4 appear adjacent to 5. Therefore, 3 must appear opposite 5, Conversely, the number opposite 3 is 5.- 6. 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?
Options
Discuss
Correct Answer: 3
Explanation:
Number 1 is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that 1 remains on the RHS face (i.e. face II as per activity 1) and the numbers 5 and 3 move to the faces hidden behind 2 and 4 respectively (in fig. (i). Then, clearly 3 lies opposite 4. Hence, when 4 is at the bottom then 3 mist lie on the top.- 9. Two positions of a dice are shown below. When number 1 is on the top, what number will be at the bottom?
Options
Discuss
Correct Answer: 5
Explanation:
Number 6 is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that 6 remains on the top face (i.e. face V as per activity 1) and the number 4 in fig. (ii) moves to the FR-RH face (i.e. face I) as in fig. (i), then 5 will move to the RR-RH face (i.e. face II). Clearly, 5 (which lies on face II) and 1 (which lies on face IV) will be opposite to each other. So, when 1 is on the top, then 5 will be at the bottom.- 10. 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 arrow?
Options
Discuss
Correct Answer: Triangle
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 symbol opposite the arrow is the triangle.
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- 1. A dice is rolled twice and the two positions are shown in the figure below. What is the number of dots at the bottom face when the dice is in position (i)?