# Important Notes on DICE by Gradeup

By Parnab Mallick|Updated : January 23rd, 2021

As we all know Dice is a part of the one of our popular indoor game since immemorial times. Presently, it is one of the interesting chapters of Reasoning and also included in the syllabus of IB ACIO and SSC CGL Exam. Now, let us discuss Dice in detail. Dice is a three-dimensional figure in which there are 6 Surfaces, 12 Edges and 8 Corners. There are 4 adjacent surfaces to each surface.

As we all know Dice is a part of the one of our popular indoor game since immemorial times. Presently, it is one of the interesting chapters of Reasoning and also included in the syllabus of IB ACIO and SSC CGL Exam. Now, let us discuss Dice in detail. Dice is a three-dimensional figure in which there are 6 Surfaces, 12 Edges and 8 Corners. There are 4 adjacent surfaces to each surface.

Here, ‘=’ represents Edges

‘→’ represents Surfaces

and, ‘●’ represents Corners

In exams two or more positions of a dice are given in a question and your task is to find out the opposite surface of a given surface.

Example:

From the above two positions of a dice it is clear that 2,3,4 and 5 are the adjacent surfaces of surface ‘1’. Therefore, we can say that opposite surface of ‘1’ is surface ‘6’.

• TYPES OF DICE

I. STANDARD DICE: The dice in which the sum of two opposite surfaces is

equal to seven is considered as Standard Dice.

For Example:

In the above dice, 5,3 and 1 are adjacent surfaces and it is clear that the sum of any two surfaces shown in dice is not equal to seven.

Therefore, Surface opposite to ‘5’ is Surface ‘2’ (i.e 5+2=7)

Surface opposite to ‘3’ is Surface ‘4’ (i.e 3+4=7)

Surface opposite to ‘1’ is Surface ‘6’ (i.e 1+6=7)

II. GENERAL DICE: In General Dice the sum of two opposite surfaces is not equal to seven. To find out the opposite surface we are required atleast two positions of dice having:

(a) one surface common

Here, Surface ‘3’ is common surface in both the positions of dice. After fixing ‘3’ and then moving in clockwise direction we can easily find the opposite surfaces.

3 – 6 – 4

3 – 5 – 2

It is clear that 6 and 5 are opposite surfaces and, 4 and 2 are opposite surfaces. Therefore, surface opposite of surface ‘3’ is surface ‘1’.

(b) Two surface common

In the above two positions of dice, two surfaces i.e Surface ‘3’ and Surface ‘2’ are common.

3 – 2 – 1

3 – 2 – 6

After fixing surfaces 3 and 2, we find that surface opposite of surface ‘1’ is surface ‘6’.

Surface opposite of surface ‘3’ is not confirm, it may be surface ‘4’ or surface ‘5’. Similarly, surface opposite of surface ‘2’ is not confirm, it may be surface ‘5’ or surface ‘ 4’.

III. OPEN DICE: In open dice all the six surfaces are clearly shown. The opposite surfaces are at the alternate positions of rows or columns. For Example:

Here, opposite of surface ‘1’ is surface ‘4’

opposite of surface ‘3’ is surface ‘5

opposite of surface ‘2’ is surface ‘6’

• EXPANSION OF DICE: In expansion of dice we are given two or more positions of dice and we have to represent all the six surfaces in open dice.

For Example:

In the above two positions of dice common surface is ‘4’.

Always fix the common surface at the centre position.

From first position:

i.e

From second position:

i.e

Clearly, blank surface will be filled by remaining number i.e ‘6’

Therefore, opposite surfaces are: 1↔ 2, 4 ↔ 6 and 3 ↔ 5

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Posted by:

Member since Aug 2020
Parnab Mallick is an educator and mentor with an expertise in SSC and Railway exams. He tries to make students’ life easy by guiding them the right path and knowledge to cater to their dream govt. job. He lives with the notion ‘We all have equal opportunity to be unequal’

write a comment

Mukesh KumarJan 3, 2021

can there are not more expectation of answer in expansion and two surface type dice q's ?

RajiramJan 17, 2021

Hii sir I  am new student

Rijwan KhanJan 17, 2021

Thank you

Aftab AlamJan 18, 2021

Thanku ma'am

Kanhaiya KumarJan 18, 2021

Thanku

Sir  kya 2021 - 2022 ka NTPC ka notification nikli kya apply karne ko

Cheenu GautamJan 18, 2021

Mam ap kyu nhi pdha rhe ho Kisi batch m plzz muje reasoning m bhut dikkt h Kuch topics m or muje koi bhi teacher Ka smj nhi ata ab reasoning plzzz aap aa jaiye mam