1. The document discusses dice and reasoning questions related to dice. It provides examples of dice with different number configurations and questions about determining the number opposite to or on the top/bottom of a given number on the dice. 2. Multiple choice questions are asked related to standard dice where opposite sides sum to 7 and general dice where adjacent sides sum to 7. Examples of dice configurations are shown to demonstrate the questions. 3. The questions test the ability to logically determine the number that would be opposite or on the top/bottom of a given number by analyzing the dice configurations and using the properties of standard and general dice.

1. Reasoning
Reasoning
SOLJAR PANDEY SIR
By
S
O
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A
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2. Dice
i
k
l
k
Dice
i
k
l
k
S
O
L
J
A
R
P
A
N
D
E
Y
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3. Dice
Dice
6 Faces/ l
r
g
8 Corners/f
d
u
k
j
k
Top
m
Q
i
j
h
H
k
qt
k
Right
n
k
;
h
H
k
qt
k
Bottom
f
u
p
y
h
H
k
qt
k
Back
f
i
N
y
h
H
k
qt
k
Left
c
k
;
h
a H
k
qt
k
Front
v
x
y
h
H
k
qt
k
Left – Right
Top – Bottom
Front – Back
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4. Dice
Dice
Standard Dice General Dice
e
k
u
d
i
k
l
k l
k
e
k
U
;
i
k
l
k
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5. Standard Dice-
Standard Dice
e
k
u
d
i
k
l
k
&
e
k
u
d
If every
opposite surface sum is equal
to 7 then the dice is called
.
;
f
n
i
zR
;
sd
f
o
i
j
h
r
l
r
g
i
j
;
k
sx
7
d
s c
j
k
c
j
g
SA
r
c
b
l
s g
e
General Dice-
General
Dice
l
k
e
k
U
;
i
k
l
k
&
l
k
e
k
U
;
i
k
l
k
If any two
adjacent surface have sum 7
then the dice is called
.
;
f
n
l
k
F
k
d
h
l
r
g
k
sa d
k
;
k
sx
7
g
SA
r
c
b
l
s g
e d
g
r
s g
SaA
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6. Case -I (Only one common)/d
so
y
,
d
l
r
g
l
e
k
u
g
SA
6
1
4 4 5
3
5
2
1 3 4
5
Dice
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D
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7. Case -II (Two Common)/n
k
s l
r
g
l
e
k
u
g
k
sA
2
3
5 2 6
5
6
1
3 1 6
4
Dice
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8. Case -III (No Common)/d
k
sb
Z H
k
h
l
r
g
l
e
k
u
u
g
k
sA
6
1
3 5 2
4
Dice
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9. Each alternate surface are opposite to each other
i
k
l
s d
k
s [
k
k
sy
u
s i
j
]
i
zR
;
sd
o
Sd
f
Y
i
d
l
r
g
,
d
n
wl
j
s d
s l
k
e
u
s g
k
sr
h
g
SA
Open Dice
1 3 4 5
6
2
A B E
F
C
D 2
3
4
5 6
1
1 – 4
3 – 5
2 – 6
A – E
C – F
D – B
2 – 4
3 – 5
1 – 6
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10. 1. In the dice given below which number will be on the
opposite side to 3?
u
h
p
s f
n
;
s x
,
i
k
l
s e
sa v
ad
3
d
s f
o
i
j
h
r
i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
1
1
2
3 6
3
5 2
4
5
I II III
(1) 1 (2) 6 (3) 5 (4) 4
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11. 2. In the dice given below which number will be on the
opposite side to 6?
u
h
p
s f
n
;
s x
,
i
k
l
s e
sa v
ad
6
d
s f
o
i
j
h
r
i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
2
3
6
2 2
6
4 6
5
4 4
1
2
I II III IV
(1) 1 (2) 2 (3) 3 (4) 4
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12. 3. In the dice given below which number will be on the
opposite side to 3?
u
h
p
s f
n
;
s x
,
i
k
l
s e
sa v
ad
3 d
s f
o
i
j
h
r
i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
3
4
5
6 1
2
4 6
3
5 1
4
5
I II III IV
(1) 1 (2) 2 (3) 4 (4) 6
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13. 4. In the given dice which number will be on the opposite
side to 3?
u
h
p
s f
n
;
s x
,
i
k
l
s e
sa v
ad
3 d
s f
o
i
j
h
r
i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
4
3
6
1 2
5
4 5
3
1 3
2
6
I II III IV
(1) 2 (2) 3 (3) 4 (4) 6
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14. 5. If there are three dots at the bottom, then how many dots
will be on top?
;
f
n
i
k
l
s d
s u
h
p
s i
Q
y
d
i
j
r
h
u
f
c
U
n
q g
k
sa r
k
s m
Q
i
j
h
i
Q
y
d
i
j
f
d
r
u
s f
c
U
n
q g
k
sax
sa
5
I II
(1) 1 or 5 (2) 2 (3) 4 (4) 5
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15. 6. If the number of dots is three on top then how many will
be at bottom?
;
f
n
m
Q
i
j
h
i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
r
h
u
g
k
s r
k
s b
l
d
s f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
6
I II
(1) 1 (2) 4 (3) 5 (4) 6
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16. 7. If 4 dots are at bottom then what will be the number of
dots on top?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
t
c
4 f
c
U
n
q u
h
p
s d
h
v
k
sj
g
k
sax
s r
k
s
m
Q
i
j
d
s i
Q
y
d
i
j
f
d
r
u
s x
k
sy
s g
k
sax
s
7
(1) 3 (2) 2 (3) 5 (4) 6
I II
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17. 8. What will be the digit opposite to 2?
u
h
p
s f
n
,
x
,
i
k
l
s e
sa v
ad
2 d
s l
k
e
u
s o
k
y
s i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
(1) 1
(2) 4
(3) 5
(4) Can’t be determined/f
u
/
k
Zf
j
r
u
g
h
a f
d
;
k
t
k
l
d
r
k
g
SA
8
6
3
2 5
3
6 5
4
3
I II III
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18. 9. Dice given below has been shown in four positions on
which digit 1 to 6 has been shown. What will be opposite
to digit 2 on this dice?
u
h
p
s ,
d
i
k
l
s d
k
s p
k
j
i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
f
t
u
d
s i
Q
y
d
k
sa i
j
v
ad
1 l
s 6
r
d
d
s v
ad
v
af
d
r
g
aSA
b
u
e
sa v
ad
2 d
s f
o
i
j
h
r
i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
9
(1) 3 (2) 4 (3) 5 (4) 6
3
2
4 3
1
2 5
3
4 2
6
4
I II III IV
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19. 10. A dice has been shown in two positions as given below. If
the number of dots is 6 at bottom. Then what will be the
number of dots on top of it?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
;
f
n
f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa
d
h
l
a[
;
k
6 g
k
s]
r
k
s m
Q
i
j
d
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
g
k
sx
h
(1) 1 (2) 2 (3) 4 (4) 5
10
I II
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20. 11. A dice has been given below in two positions. If number
of dots on top is 1 then what will be the number of dots at
bottom?
u
h
p
s ,
d
i
k
l
s d
s n
k
s i
zk
:
i
k
sa d
k
s n
'
k
k
Z;
k
x
;
k
g
SA
t
c
m
Q
i
j
h
i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
1 g
k
s]
r
k
s f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
(A) 1 (B) 2
(C) 3 (D) 6
11
I II
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21. 12. In question 11, which number will be on the opposite face
to 6?
i
z'
u
l
a[
;
k
11 e
sa f
c
U
n
q 6 d
s l
k
e
u
s o
k
y
s i
Q
y
d
i
j
d
k
SU
k
&
l
k
v
ad
g
k
sx
k
(1) 1
(2) 5
(3) 4
(4) Can't be determined/f
u
/
k
Zf
j
r
u
g
h
a f
d
;
k
t
k
l
d
r
k
g
SA
12
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22. 13. In question 11, what will be at the bottom face in position
I?
i
z'
u
11 e
sa i
zk
:
i
1 d
s f
u
p
y
s i
Q
y
d
i
j
d
k
Su
&
l
k
v
ad
g
k
sx
k
(1) 1
(2) 4
(3) 5
(4) None of these/b
u
e
sa l
s d
k
sb
Z u
g
h
a
13
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23. 14. If the number of dots is 3 at bottom then what will be the
number of dots on top?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
t
c
f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
3 g
k
s]
r
k
s m
Q
i
j
h
i
Q
y
d
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
14
(1) 2 (2) 1 (3) 4 (4) 6
I II
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24. 15. A dice has been shown below in two positions. If the
number of dots on top is 4 then what will be the number
of dots at bottom?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
t
c
m
Q
i
j
d
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa
d
h
l
a[
;
k
4 g
k
s]
r
k
s f
u
p
y
s i
Q
y
d
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
15
(1) 2 (2) 3
(3) 5 (4) 6
I II
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25. 16. A dice has been shown below in two positions. If the
number of dots at bottom is 2 then what will be the
number of dots on top?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa d
s n
'
k
k
Z;
k
x
;
k
g
SA
t
c
b
l
d
s f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
2 g
k
s]
r
k
s m
Q
i
j
h
i
Q
y
d
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
16
I II
(1) 1 (2) 4
(3) 5 (4) 6
S
O
L
J
A
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P
A
N
D
E
Y
S
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26. 17. A dice has been given below in two positions. If the
number of dots at bottom is three then what will be the
number of dots on top?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa e
sa n
'
k
k
Z;
k
x
;
k
g
SA
t
c
f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
3 g
k
s]
r
k
s m
Q
i
j
h
i
Q
y
d
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
17
I II
(1) 2 (2) 3
(3) 4 (4) 6
S
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P
A
N
D
E
Y
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27. 18. What will be the number of dots opposite to the surface of
2 dots?
u
h
p
s ,
d
i
k
l
s d
s p
k
j
i
zk
:
i
k
sa d
k
s n
'
k
k
Z;
k
x
;
k
g
SA
b
l
i
k
l
s n
k
s f
c
U
n
q o
k
y
s i
Q
y
d
d
s
f
o
i
j
h
r
i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
18
I II III IV
(1) 1 (2) 4
(3) 5 (4) 6
S
O
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A
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P
A
N
D
E
Y
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28. 19. If the bottom of the dice shows 2 dots, then what would
be the number of dots on its top?
u
h
p
s ,
d
i
k
l
s d
k
s n
k
s i
zk
:
i
k
sa e
sa n
'
k
k
Z;
k
x
;
k
g
SA
t
c
f
u
p
y
s i
Q
y
d
i
j
f
c
U
n
qv
k
sa d
h
l
a[
;
k
2 g
k
s]
r
k
s m
Q
i
j
h
i
Q
y
d
f
c
U
n
qv
k
sa d
h
l
a[
;
k
f
d
r
u
h
g
k
sx
h
19
I II
(1) 2 (2) 3
(3) 5 (4) 6
S
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P
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D
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29. 20. Which alphabet will come in place of question mark?
u
h
p
s ,
d
i
k
l
s d
s p
k
j
i
zk
:
i
k
sa d
k
s n
'
k
k
Z;
k
x
;
k
g
SA
b
u
i
j
v
{
k
j
f
y
[
k
s x
;
s g
SaA
c
r
k
,
a
f
d
f
j
D
r
L
F
k
k
u
i
j
d
k
Su
l
k
v
{
k
j
g
k
sx
k
20
M
D
S M
S
W U
Y
D D
M
?
I II III IV
(1) S (2) D
(3) U (4) W
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

30. 21. Colours of rainbow are shown on the faces of a dice.
Which colour among the seven colours is left?
,
d
i
k
l
s d
s i
Q
y
d
k
sa i
j
b
U
n
z/
u
q"
k
d
s j
ax
O
;
o
f
L
F
k
r
g
SA
i
k
l
s d
s n
k
s i
zk
:
i
d
k
s n
'
k
k
Z;
k
x
;
k
g
SA
b
U
n
z/
u
q"
k
d
k
d
k
Su
&
l
k
j
ax
b
u
e
sa v
k
y
sf
[
k
r
u
g
h
a g
S
21
R
B
O G
I
Y
I II
(1) blue (2) green
(3) yellow (4) violet
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

31. Directions (22 - 29): In each question an explanatory figure of
dice is given. Study the figure and identify the correct dice
formed by that figure.
f
u
n
sZ'
k
(22 - 33): u
h
p
s (X) d
qN
i
zl
k
j
&
f
p
=
k
f
n
,
x
,
g
aSA
f
t
l
s e
k
sM
+d
j
;
f
n
,
d
?
k
u
d
k
v
k
d
k
j
f
n
;
k
t
k
;
r
k
s f
u
E
u
?
k
u
a, b, c ,
o
a d e
sa l
s d
k
Su
&
l
k
?
k
u
l
aH
k
o
g
S
22.
22
F
C
A C
A
E F
B
D A
C
D
(b) (c) (d)
B
E A
D
F C
(X) (a)
(I) (II) (III) (IV)
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

32. 23.
23
A
B
B
A
B
B A
(II) (III) (IV)
A
(X) (I)
B
(1) d
so
y
I, II v
k
Sj
IV
(2) I, II and III only/d
so
y
I, II, III
(3) II only/d
so
y
II
(4) II and IV only/d
so
y
II v
k
Sj
IV
I, II and IV only/
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

33. 24.
24
(II) (III) (IV)
(X) (I)
(1) d
so
y
I, v
k
Sj
II
(2) II, III and IV only/d
so
y
II, III v
k
Sj
IV
(3) IV only/d
so
y
IV
(4) III and IV only /d
so
y
III v
k
Sj
IV
I, and II only/
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

34. 25.
25
I II III IV
(x)
(1) d
so
y
I v
k
Sj
III
(2) II, III and IV only/d
so
y
II, III v
k
Sj
IV
(3) II and IV only/d
so
y
II v
k
Sj
IV
(4) III and IV only/d
so
y
III v
k
Sj
IV
I and III only/
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

35. 26.
26
(X) (a) (b) (c)
A
(d)
A
(1) a and c only/
(2) b and d only /d
so
y
b v
k
Sj
d
(3) b and c only /d
so
y
b v
k
Sj
c
(4) b, c and d only/d
so
y
b, c v
k
Sj
d
d
so
y
a v
k
Sj
c
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

36. 27.
27
I II III IV
2 1 1 2 2
1
(X) (I) (II) (III) (IV)
1
2
(1) I, II, III and IV /
(2) only I and II /d
so
y
I v
k
Sj
II
(3) only II and III/d
so
y
II v
k
Sj
III
(4) only I, II, and III/d
so
y
I, II, v
k
Sj
III
I, II, III v
k
Sj
IV
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

37. 28
28.
I II III IV
×
+
A
C
D
C
D E
A
B ×
+
A
×
+
D
A
C
D B E
(X) (a) (b) (c) (d)
(1) (a) and (b) only/
(2) only (a)/d
so
y
(a)
(3) (c) and (d) only/d
so
y
(c) v
k
Sj
(d)
(4) None of these/b
u
e
sa l
s d
k
sb
Z u
g
h
a
d
so
y
(a) v
k
Sj
(b)
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

38. 29
29.
D
E
D
C D A
B
4 2
1
3
A E
D
B
C 3
1
4
2
1 3
4
2
B
C
2 1
4
3
(1) only (a) and (b)/
(2) only (a) / d
so
y
(a)
(3) only (c) and (d)/ d
so
y
(c) v
k
Sj
(d)
(4) only (d)/ d
so
y
(d)
d
so
y
(a) v
k
Sj
(b)
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

39. 30
30. How many minimum number of colours would be used
to colour each surface of a dice so that no two adjacent
surfaces have the same colour?
f
d
l
h
i
k
l
s d
k
s d
e
&
l
s&
d
e
f
d
r
u
s j
ax
k
sa l
s j
ax
k
t
k
l
d
r
k
g
S t
c
f
u
d
V
r
e
l
r
g
,
d
g
h
j
ax
l
s u
g
h
a j
ax
k
x
;
k
g
k
s
(1) 3 (2) 8
(3) 4 (4) 5
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

40. 31
31. Which alphabet can come in place of question mark?
f
u
E
u
i
k
l
s e
sa (
)
i
z'
u
o
k
p
d
f
p
U
g
d
s L
F
k
k
u
i
j
d
k
SU
k
&
l
k
v
{
k
j
v
k
l
d
r
k
g
S
(1) D
(2) F
(3) E
(4) can’t be determined/K
k
r
u
g
h
a f
d
;
k
t
k
l
d
r
k
g
SA
A
B
C D
F
A D
E
F B
A
?
I II III IV
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

41. 32
32. Below are given explanatory figures of a single dice shown
in two positions, determine the correct explanatory figure.
f
u
E
u
f
n
;
s x
;
s ,
d
i
k
l
k
d
s n
k
su
k
sa f
L
F
k
f
r
;
k
sa d
k
v
è
;
;
u
d
j
sa r
F
k
k
c
r
k
,
a f
d
u
h
p
s
f
n
;
s x
;
s i
zl
k
j
f
p
=
k
k
s e
sa l
s f
d
l
i
k
l
k
d
k
s e
k
sM
+d
j
b
l
i
k
l
s d
k
:
i
f
n
;
k
t
k
l
d
r
k
g
S
(1)
(1)
(X) (Y)
A
C
E
B
F
D
A
B
C
D
E
F
A
C
E D
F
B
A
B C D E
F
A
C
B
D
E
F
(3)
(2) (4)
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

42. Directions (33 - 35): Study all the positions of a dice and
answer the following:
f
u
n
sZ'
k
(33 &
35): f
n
;
s x
;
s i
k
l
s d
s p
k
j
k
sa f
L
F
k
f
r
;
k
sa d
k
v
è
;
;
u
d
j
r
s g
q,
i
z'
u
k
sa
d
k
m
Ù
k
j
n
sa&
#
@
I II
#
III
#
IV
@
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

43. 33
33. Which symbol will be opposite to #?
# d
s f
o
i
j
h
r
d
k
SU
k
&
l
k
f
p
U
g
g
k
sx
k
(1)
(1) (3)
(2) (4)
#
@
I II
#
III
#
IV
@
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

44. 34
34. Which symbol will be opposite to
d
s f
o
i
j
h
r
d
k
SU
k
&
l
k
f
p
U
g
g
k
sx
k
(1)
(1) @ (3)
(2) (4) #
#
@
I II
#
III
#
IV
@
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

45. 35
35. Which symbol will be in opposite to ?
d
s l
k
e
u
s d
k
Su
&
l
k
f
p
U
g
g
k
sx
k
(1)
(1) @ (3)
(2) (4)
#
@
I II
#
III
#
IV
@
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R

46. 1. (4)
2. (1)
3. (3)
4. (3)
5. (1)
6. (3)
7. (1)
8. (3)
9. (3)
10. (4)
11. (4)
12. (1)
13. (2)
14. (4)
15. (2)
16. (2)
17. (3)
18. (4)
19. (2)
20. (3)
21. (4)
22. (4)
23. (3)
24. (4)
25. (3)
26. (2)
27. (4)
28. (4)
29. (4)
30. (1)
31. (2)
32. (1)
33. (1)
34. (4)
35. (1)
Answer-key
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R