Reasonin Rakesh Yadav

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SOLUTION
1. (d) From the two different views
of the dice it is clear that '6'
lies opposite to '5'.
2. (b)
nks vyx&2 fLFkfr;ksa ls ;g vFkZ fudyrk
gS fd 5 ds foijhr 6 gksxkA
First Layer
Second Layer
Third Layer
The number of cubes which
are painted on 2 sides:
12 (n – 2).
n = length of bigger cube ÷
length of smaller cube
So, 12 (3 – 2)
12 × 1 = 12
,sls ?kuksa dh la[;k ftldh nks lrg jaxh
gqbZ gSa%
12 (n – 2).
n = cM+s ?ku dh Hkqtk dh yEckbZ ÷
NksVs ?ku dh Hkqtk dh yEckbZ
vr% 12 (3 – 2)
12 × 1 = 12
3. (c) From the two views of cube it
is clear the '3' lies opposite to
'1'
,d ?ku dh nks fLFkfr;ksa ls ;g lkiQ gksrk
gS fd 3, 1 ds foijhr gSA
1
4. (b) If there is one triangle at
the bottom. there would be
three triangle on the top.
5. (b)
6
;fn ?ku dh fupyh lrg ij ,d f=kHkqt gS
rks mldh Åijh lrg ij 3 f=kHkqt gksus
pkfg,A
2
6. (b) Number of cubes having two
colours
7. (a)
= 4×3 = 12
nks jxksa ds ?kuksa dh la[;k = 4×3 = 12
White
Red
Yellow
The cubes of middle row will have
no red colour 9 cubes
The Central cube will have no
colour
Now, out of 8 cubes, 4 cubes have
either yellow or white colour.
,d ?ku ds chp dh ykbu esa fcuk yky jax ds ?kuksa
dh la[;k 9 ?ku
dsUnz ds ?ku es a dksbZ jax ugha gksxkA
8 ?ku esa ls pkj ?ku ;k rks ihyh ;k liQsn jax ds
gSA
8. (b) The numbers 2, 4, 5 and 6
cannot be on the face
opposite to 3.
The numbers 1, 3, 4 and 6
cannot be on the face
opposite to 5.
Therefore, 2 lies opposite 5.
Clearly, 4 lies opposite 6.
fn;s x;s ?kuksa es a 2, 4, 5 vkSj 6, 3 ds
foijhr ugha gks ldrs gS
rFkk 1, 3, 4 vkSj 6, 5 ds foijhr ugha
gks ldrk gSA
Rakesh Yadav Sir
blfy,, 5 ds foijhr 2 gksxk rFkk 6 ds
foijhr 4 gksxkA
9. (b) There are four cubes in
Layer-I and four cubes in
Layer IV which have only
one face painted red and all
other faces not painted at
all. Thus there are eight
such cubes.
,d ?ku ds ijr& I es a 4 ?ku gS rFkk
ijr& IV esa Hkh pkj ?ku gS ftlls dsoy
lrg dks yky jax ls jaxk tkrk gS rks lHkh
nwljh lrg dks ugh jaxk tkrk gS blfy,
10. (d)
yky jax ls dsoy 8 ?ku gh jaxs gksxsaA
Layer-1
Layer-2
Layer-3
Layer-4
Layer-1
Layer-2
Layer-3
Layer-4
Green
Red
Black
11. (c) The numbers 1, 2, 4 and 5 lie
on the faces adjacent to 3.
Therefore, the number 6
lies opposite 3.
The numbers 3, 4, 5 and 6 lie
on the faces adjacent to 1.
Therefore, the number 2
lies opposite 1.
Now, the number 4 lies
opposite 5.
lrg la[;k 3, la[;k,sa 1, 2, 4 vkSj 5
ij lyaXu djrh gSA
;|fi la[;k 6, 3 ds foijhr fLFkr gSA
la[;k 1, la[;k 3, 4, 5 vkSj 6 ij
lyaXu djrh gSA
;|fi la[;k 2, 1 ds foijhr fLFkr gSA
vc la[;k 4, 5 ds foijhr gSA
12. (a) From the two views of dice.
it is clear that number '1'
lies opposite to number '4'.
,d ?ku dh pkj fLFkfr;ksa ls ;g irk
pyrk gS fd 4 ds foijhr 1 gksxkA
13. (c) The numbers 1, 2, 3 and 6
are on adjacent faces of the
number 5. Therefore, the
number 3 lies opposite to 5.
bles a 5 dh lyaXu la[;k,sa 1, 2, 3 vkSj
6 gS blfy, 5 ds foijhr 3 gksxkA
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