EduSahara™ Assignment
Name : Proportion Concepts
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the product of extremes of
19
:
9
and
1
:
4
(i)
9
(ii)
74
(iii)
76
(iv)
79
(v)
75
Question
2
2.
Find the product of extremes of
15
4
:
20
13
and
1
10
:
6
7
(i)
47
14
(ii)
2
13
(iii)
43
14
(iv)
45
14
(v)
15
4
Question
3
3.
Find the product of means of
1
:
7
and
17
:
10
(i)
10
(ii)
119
(iii)
121
(iv)
116
(v)
118
Question
4
4.
Find the product of means of
8
7
:
18
17
and
9
19
:
1
3
(i)
8
21
(ii)
160
323
(iii)
54
107
(iv)
162
323
(v)
164
323
Question
5
5.
Find the mean proportional of
50
and
2
(i)
10
(ii)
2
(iii)
8
(iv)
50
(v)
100
Question
6
6.
Find the third proportional of
128
and
16
(i)
256
(ii)
16
(iii)
2
(iv)
(-1)
(v)
128
Question
7
7.
Find the fourth proportional of
54
,
9
and
30
(i)
2
(ii)
9
(iii)
5
(iv)
30
(v)
7
Question
8
8.
Which of the ratios is proportional to 20 : 5?
(i)
37
:
9
(ii)
36
:
9
(iii)
36
:
12
(iv)
35
:
9
(v)
36
:
7
Question
9
9.
Invertendo of
9
4
=
63
28
(i)
13
4
=
91
28
(ii)
4
9
=
28
63
(iii)
13
5
=
91
35
(iv)
5
4
=
35
28
(v)
9
63
=
4
28
Question
10
10.
Alternendo of
14
2
=
42
6
(i)
16
2
=
48
6
(ii)
12
2
=
36
6
(iii)
16
12
=
48
36
(iv)
14
42
=
2
6
(v)
2
14
=
6
42
Question
11
11.
Componendo of
8
6
=
104
78
(i)
14
2
=
182
26
(ii)
6
8
=
78
104
(iii)
8
104
=
6
78
(iv)
2
6
=
26
78
(v)
14
6
=
182
78
Question
12
12.
Dividendo of
14
3
=
168
36
(i)
11
3
=
132
36
(ii)
14
168
=
3
36
(iii)
17
3
=
204
36
(iv)
3
14
=
36
168
(v)
17
11
=
204
132
Question
13
13.
Componendo and dividendo of
20
15
=
160
120
(i)
5
15
=
40
120
(ii)
35
15
=
280
120
(iii)
20
160
=
15
120
(iv)
35
5
=
280
40
(v)
15
20
=
120
160
Question
14
14.
Invertendo
of
w
j
=
g
i
(i)
w
+
j
j
=
g
+
i
i
(ii)
w
−
j
j
=
g
−
i
i
(iii)
w
+
j
w
−
j
=
g
+
i
g
−
i
(iv)
j
w
=
i
g
(v)
w
g
=
j
i
Question
15
15.
Alternendo
of
h
g
=
r
m
(i)
h
r
=
g
m
(ii)
h
−
g
g
=
r
−
m
m
(iii)
h
+
g
g
=
r
+
m
m
(iv)
g
h
=
m
r
(v)
h
+
g
h
−
g
=
r
+
m
r
−
m
Question
16
16.
Componendo
of
c
q
=
w
f
(i)
c
+
q
c
−
q
=
w
+
f
w
−
f
(ii)
c
−
q
q
=
w
−
f
f
(iii)
c
+
q
q
=
w
+
f
f
(iv)
q
c
=
f
w
(v)
c
w
=
q
f
Question
17
17.
Dividendo
of
y
r
=
c
z
(i)
y
+
r
y
−
r
=
c
+
z
c
−
z
(ii)
y
−
r
r
=
c
−
z
z
(iii)
r
y
=
z
c
(iv)
y
+
r
r
=
c
+
z
z
(v)
y
c
=
r
z
Question
18
18.
Componendo and Dividendo
of
w
l
=
u
s
(i)
w
−
l
l
=
u
−
s
s
(ii)
l
w
=
s
u
(iii)
w
u
=
l
s
(iv)
w
+
l
l
=
u
+
s
s
(v)
w
+
l
w
−
l
=
u
+
s
u
−
s
Question
19
19.
Invertendo
of
b
:
r
::
u
:
j
(i)
b
:
u
::
r
:
j
(ii)
b
−
r
:
r
::
u
−
j
:
j
(iii)
b
+
r
:
r
::
u
+
j
:
j
(iv)
b
+
r
:
b
−
r
::
u
+
j
:
u
−
j
(v)
r
:
b
::
j
:
u
Question
20
20.
Alternendo
of
h
:
s
::
a
:
y
(i)
s
:
h
::
y
:
a
(ii)
h
:
a
::
s
:
y
(iii)
h
−
s
:
s
::
a
−
y
:
y
(iv)
h
+
s
:
h
−
s
::
a
+
y
:
a
−
y
(v)
h
+
s
:
s
::
a
+
y
:
y
Question
21
21.
Componendo
of
s
:
o
::
a
:
k
(i)
s
:
a
::
o
:
k
(ii)
s
+
o
:
o
::
a
+
k
:
k
(iii)
s
−
o
:
o
::
a
−
k
:
k
(iv)
o
:
s
::
k
:
a
(v)
s
+
o
:
s
−
o
::
a
+
k
:
a
−
k
Question
22
22.
Dividendo
of
r
:
i
::
k
:
p
(i)
r
+
i
:
r
−
i
::
k
+
p
:
k
−
p
(ii)
r
+
i
:
i
::
k
+
p
:
p
(iii)
r
:
k
::
i
:
p
(iv)
i
:
r
::
p
:
k
(v)
r
−
i
:
i
::
k
−
p
:
p
Question
23
23.
Componendo and Dividendo
of
p
:
e
::
l
:
a
(i)
p
+
e
:
p
−
e
::
l
+
a
:
l
−
a
(ii)
p
−
e
:
e
::
l
−
a
:
a
(iii)
e
:
p
::
a
:
l
(iv)
p
+
e
:
e
::
l
+
a
:
a
(v)
p
:
l
::
e
:
a
Question
24
24.
If
a
:
b
::
c
:
d
,
then
(i)
ab = cd
(ii)
ac = bd
(iii)
abc = bcd
(iv)
ad = bc
Question
25
25.
The ratio 3 : 2 is proportional to which of the following ratios?
(i)
18
:
12
(ii)
6
:
10
(iii)
15
:
4
(iv)
12
:
6
(v)
9
:
8
Question
26
26.
Which of the following represents a proportion ?
(i)
29
:
35
::
87
:
140
(ii)
30
:
36
::
90
:
108
(iii)
31
:
37
::
62
:
111
(iv)
32
:
38
::
96
:
76
(v)
28
:
34
::
112
:
102
Question
27
27.
Which of the following does not represent a proportion ?
(i)
16
:
8
::
80
:
40
(ii)
15
:
9
::
60
:
36
(iii)
6
:
4
::
12
:
12
(iv)
24
:
18
::
48
:
36
(v)
14
:
10
::
42
:
30
Question
28
28.
If
a
:
b
::
c
:
d
,
then '
d
' is called
(i)
third proportional
(ii)
first term
(iii)
extreme
(iv)
second term
(v)
mean proportional
Question
29
29.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
mean proportional
(ii)
first term
(iii)
third proportional
(iv)
extreme
(v)
fourth proportional
Question
30
30.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
second term
(ii)
first term
(iii)
mean proportional
(iv)
third proportional
Question
31
31.
If
a
:
b
::
b
:
c
,
then the mean proportional is
(i)
c
(ii)
a
(iii)
b
(iv)
ac
(v)
bc
Question
32
32.
If
a,b,c,d,e,f
are in continued proportion, then which of the following is true?
(i)
ab
=
bc
=
cd
=
de
(ii)
a
b
=
b
c
=
c
d
(iii)
a
b
=
c
d
=
e
f
(iv)
a
b
b
c
=
b
c
c
d
=
c
d
d
e
Question
33
33.
If
18
:
x
::
24
:
16
, find '
x
'
(i)
12
(ii)
9
(iii)
13
(iv)
15
(v)
11
Question
34
34.
Find the fourth proportional of 36, 24, 30
(i)
20
(ii)
17
(iii)
22
(iv)
19
(v)
21
Question
35
35.
Find the third proportional of 72 and 12
(i)
1
(ii)
3
(iii)
2
(iv)
5
(v)
0
Question
36
36.
Find the mean proportional of
9
and
144
(i)
35
(ii)
36
(iii)
34
(iv)
37
(v)
39
Question
37
37.
If
2
,
x
,
8
are in continued proportion, find
x
(i)
5
(ii)
3
(iii)
4
(iv)
2
(v)
6
Question
38
38.
Find the mean proportional between
3.9
and
15.6
(i)
7.8
(ii)
6.8
(iii)
9.8
(iv)
5.8
(v)
8.8
Question
39
39.
Find the mean proportional between
√
8
and
2
√
98
(i)
2
√
14
(ii)
2
√
17
(iii)
2
4
√
14
(iv)
2
√
11
(v)
28
Question
40
40.
Invertendo
of
2
9
=
12
54
(i)
7
9
=
42
54
(ii)
11
9
=
66
54
(iii)
11
7
=
66
42
(iv)
2
12
=
9
54
(v)
9
2
=
54
12
Question
41
41.
Alternendo
of
5
4
=
15
12
(i)
1
4
=
3
12
(ii)
9
4
=
27
12
(iii)
9
1
=
27
3
(iv)
5
15
=
4
12
(v)
4
5
=
12
15
Question
42
42.
Componendo
of
2
8
=
6
24
(i)
2
6
=
8
24
(ii)
6
8
=
18
24
(iii)
10
6
=
30
18
(iv)
10
8
=
30
24
(v)
8
2
=
24
6
Question
43
43.
Dividendo
of
9
8
=
36
32
(i)
17
1
=
68
4
(ii)
17
8
=
68
32
(iii)
8
9
=
32
36
(iv)
9
36
=
8
32
(v)
1
8
=
4
32
Question
44
44.
Componendo and Dividendo
of
2
8
=
14
56
(i)
10
6
=
70
42
(ii)
2
14
=
8
56
(iii)
8
2
=
56
14
(iv)
10
8
=
70
56
(v)
6
8
=
42
56
Question
45
45.
Invertendo
of
6
:
7
::
24
:
28
(i)
13
:
7
::
52
:
28
(ii)
6
:
24
::
7
:
28
(iii)
7
:
6
::
28
:
24
(iv)
1
:
7
::
4
:
28
(v)
13
:
1
::
52
:
4
Question
46
46.
Alternendo
of
8
:
7
::
24
:
21
(i)
15
:
7
::
45
:
21
(ii)
15
:
1
::
45
:
3
(iii)
8
:
24
::
7
:
21
(iv)
1
:
7
::
3
:
21
(v)
7
:
8
::
21
:
24
Question
47
47.
Componendo
of
4
:
5
::
24
:
30
(i)
9
:
5
::
54
:
30
(ii)
5
:
4
::
30
:
24
(iii)
1
:
5
::
6
:
30
(iv)
4
:
24
::
5
:
30
(v)
9
:
1
::
54
:
6
Question
48
48.
Dividendo
of
3
:
5
::
24
:
40
(i)
3
:
24
::
5
:
40
(ii)
2
:
5
::
16
:
40
(iii)
5
:
3
::
40
:
24
(iv)
8
:
5
::
64
:
40
(v)
8
:
2
::
64
:
16
Question
49
49.
Componendo and Dividendo
of
3
:
7
::
6
:
14
(i)
7
:
3
::
14
:
6
(ii)
10
:
4
::
20
:
8
(iii)
10
:
7
::
20
:
14
(iv)
4
:
7
::
8
:
14
(v)
3
:
6
::
7
:
14
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (iv)
5) (i)
6) (iii)
7) (iii)
8) (ii)
9) (ii)
10) (iv)
11) (v)
12) (i)
13) (iv)
14) (iv)
15) (i)
16) (iii)
17) (ii)
18) (v)
19) (v)
20) (ii)
21) (ii)
22) (v)
23) (i)
24) (iv)
25) (i)
26) (ii)
27) (iii)
28) (iii)
29) (i)
30) (iv)
31) (iii)
32) (ii)
33) (i)
34) (i)
35) (iii)
36) (ii)
37) (iii)
38) (i)
39) (i)
40) (v)
41) (iv)
42) (iv)
43) (v)
44) (i)
45) (iii)
46) (iii)
47) (i)
48) (ii)
49) (ii)
