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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
S
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
R
P
A
N
D
E
Y
S
I
R
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
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
O
L
J
A
R
P
A
N
D
E
Y
S
I
R
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
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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)
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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/
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N
D
E
Y
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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/
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N
D
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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/
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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
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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
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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)
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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)
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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
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P
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N
D
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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
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N
D
E
Y
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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)
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P
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N
D
E
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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
@
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N
D
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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
@
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N
D
E
Y
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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
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J
A
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P
A
N
D
E
Y
S
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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
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A
R
P
A
N
D
E
Y
S
I
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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
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O
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P
A
N
D
E
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