Reasonin Rakesh Yadav

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DICE
08
CHAPTER
Dice has a shape of cube or cuboid.
It have six faces but at a time only
three faces are visible when as
three faces are hidden.
iklk ?ku ;k ?kukHk dh vkd`fr dk gksrk gSA bldh N%
lrg gksrh gSA ysfdu ,d le; es a dsoy rhu lrg
gh fn[kkbZ nsrh gSA tcfd rhu lrg fNih gqbZ gksrh gSA
E
H
A
B
F
D
C
G
(i) ABCD –– Front surface (visible)
(ii) EFGH –– Back surface (hidden)
(iii) ADHE –– Top surface (visible)
(iv) BCGF –– bottom surface (hidden)
Opposite
Opposite
(v) DCGH – Right surface (visible)
Opposite
(vi) ABFE – Left surface (hidden)
(i) ABCD lkeus dh lrg (fn[kkbZ nsus okyh)
(ii) EFGH ihNs dh lrg (fn[kkbZ ugha nsus okyh)
(iii) ADHE Åijh lrg (fn[kkbZ nsus okyh)
(iv) BCGF fupyh lrg (fn[kkbZ ugha nsus okyh)
(v) DCGH nk;ha lrg (fn[kkbZ nsus okyh)
(vi) ABFE ck;ha lrg (fn[kkbZ ugha nsus okyh)
foijhr
foijhr
foijhr
There are 4 cases to ask a question
in any exam.
fdlh ijh{kk es a pkj izdkj ds iz'u iwNs tkrs gSA
Case I
when only one position is
given.
Case II
When only two position
are given
Case III
When more than two position
are given.
;ksx I
tc dsoy ,d fLFkfr nh gksA
;ksx II
tc dsoy nks fLFkfr nh gksA
;ksx III
tc nks ls T;knk fLFkfr nh gksA
CASE I
When only one position is Given
When only one position is given in
a question then we will check our
dice is standard or general.
tc dsoy ,d fLFkfr nh gksA
tc iz'u es a dsoy ,d fLFkfr nh gks rc ge ikals dks
ekud ;k lkekU; es a tkap djrs gS aA
Standard Dice
If every opposite surfaces sum is
equal to 7 then the dice is called
standard dice.
ekud iklk
;fn izR;sd foijhr lrg ij ;ksx 7 ds cjkcj gS rc
bls ge ekud iklk dgrs gSA
2 5 (opposite)
4
6 4 3 (opposite)
2
6 1 (opposite)
General Dice:
If any two adjacent surfaces have
sum 7 then the dice is called general
dice.
lkekU; iklk
;fn nks leku lrg dk ;ksx 7 gSA rc bls ge
lkekU; iklk dgrs gSA
4
Rakesh Yadav Sir
3
5
3 + 4 = 7 it is a general dice./
lkekU; iklk gSA
In general dice visible no are
opposite to hidden numbers
lkekU; iklk fn[kkbZ nsrk gS ijaUrq blds foijhr
lrg fn[kkbZ ugha nsrh gSA
lkekU; ;k ekud ikls dh tkap dSls djrs gS&
3/4/5/ 1/6/2
How to identify whether it is
standard or General
If sum of any two adjacent
surfaces is 7 (7 visible) then the
dice is general or if sum of 7
are not seen then the dice is
standard.
;fn nks lyaXu lrg dk ;ksx 7 gSA rc iklk
lkekU; fLFkfr es a gS ;k ;fn mudk ;ksx 7
fn[kkbZ ugha nsrk gS rc bls ge ekud iklk
dgrs gSA
Examples
1.
Sol.
3
4
5
1
2
3
Which of the following is a standard
dice.
fuEufyf[kr es a ls dkSu lk ekud iklk gS
3
4
5
1
2
7
7 7
7
2. Opposite to 5 = ?
5 ds foijhr = ?
1
2
3
sol:- 7×
It is a standard dice
;g ekud iklk gSA
5 2 (Ans.)
3. 6
5
2
1
3
4
3
opposite to 6 = ?
Sol. There is no two adjacent surfaces
have sum 7
it is a standard dice.
Opposite to 6 is 1 Ans.
nks LkyaXu lrg ds iklks a es a lrg dk ;ksx 7 gS
;g ekud iklk gSA
6 ds foijhr 1 gSA
4.
4
6
5
2
3
1
(i)
5
5
(ii)
6
6
1
1
5
4
5
4
2
2
214 Rakesh Yadav Readers Publication Pvt. Ltd