Olympiad Test: Dice - Class 7 MCQ

The letters of the adjacent faces to the face with letter A are B, F, C and E. Hence D is the letter of the face opposite to the face with letter (A).

According to the rule (2), when 3 points are at the bottom then 4 points will be at the top.

Here one of the two common faces (5) is in the same position, then according to the rule (2), the remaining face with the 4 dots will be opposite to face with dots 2.

The adjacent faces to the face which 3 points have 2, 1, 4 and 6 points. Hence on the face which is opposite to the face which contains 3 points, there will be 5 points.

According to the rule (3), common faces with number 2 are in same positions. Hence when the digit 5 is on the bottom, 1 will on the upper surface.

The colours adjacent to yellow are orange, blue, red and rose. Hence violet will be opposite to yellow.

In these 2 positions one common face with number 3 is in the same position. Hence according to rule (3), 1 is opposite to 6 and 4 is opposite to 2. Therefore 5 is opposite to 3.

From position I and III common face with % is in the same position. Hence according to rule (3) opposite is x.

In these 2 positions of a dice, one common face having points 3 is in the same position. Hence, according to rule (3), there will be 4 points on the required face.

Here the common faces with 4 dots are in the same positions.
Hence 2 will be opposite to 5.

In these 2 positions one common face with number 1 is in the same position. Hence according to the rule number (3), 2 is opposite 6 and 3 is opposite to 5. Therefore opposite to 4 is 1.

According to the rule (2) when ‘one’ is at the top, then 5 will be at the bottom.

As the numbers 2, 3, 4 and 5 are adjacent to 6. Hence the number on the face opposite to 6 is 1.

Even numbered dice are: (II), (IV) and (VI)
No. of dots on the top face of (II) dice = 6 No. of dots on the top face of (IV) dice = 6 and No. of dots on the top face of (VI) dice = 6 Therefore required total = 6 + 6 + 6 = 18

In first two positions of dice one common face containing 5 is same. Therefore according to Rule no. (3) the face opposite to the face which contains 2 point will contain 6 points.
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.