Question

A standard fair dice rolls toward the east on a straight line to cover 72 cm and then rolls once towards the south, how many dots will be facing south? N st 4 cm a. 4 b. 3 C. 6 d. 1​

Answer 1

the side of the dice = 4cm

the distance= 72 cm

= 72/4 = 18

the dice has been rolled 18 times

the number is 6 is facing on the top

and rolled to once to south = 1 the answer is 1

Answer 2

Given:

A standard fair dice rolls toward the east on a straight line to cover 72 cm.

Then rolls once towards the south.

The Length of the edge of the dice is 4cm.

To find:

The number of dots facing south

Solution:

Number of rotations to cover 72cm towards east = 72/4

                                                                                  = 18 rotations

• Considering the side of the die which has one dot, after 4 rotations (towards east) it's in the same position as shown in the figure.

• So the position of one dot after 18 rotations = 18/4 (the remainder is 2)

• After 16 rotations the position of one dot will be the same, then again after 2 rotations, it will be the exact opposite side of the position shown in the image.

• The number of dots that are on the opposite side of one dot on the die is 6.
• When the die is rolled once towards the south, then 6 dots will be facing south.

Hence, the number of dots facing south is c)6