EduSahara™ Assignment
Name : Proportion Concepts
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the product of extremes of
2
:
14
and
16
:
9
(i)
16
(ii)
18
(iii)
224
(iv)
21
(v)
17
Question
2
2.
Find the product of extremes of
13
16
:
15
17
and
19
13
:
3
5
(i)
37
80
(ii)
41
80
(iii)
285
221
(iv)
1
2
(v)
39
80
Question
3
3.
Find the product of means of
12
:
15
and
15
:
12
(i)
222
(ii)
228
(iii)
225
(iv)
224
(v)
144
Question
4
4.
Find the product of means of
1
17
:
19
7
and
2
15
:
1
2
(i)
1
34
(ii)
38
103
(iii)
38
105
(iv)
12
35
(v)
8
21
Question
5
5.
Find the mean proportional of
98
and
2
(i)
2
(ii)
14
(iii)
12
(iv)
196
(v)
98
Question
6
6.
Find the third proportional of
32
and
8
(i)
64
(ii)
8
(iii)
(-1)
(iv)
32
(v)
2
Question
7
7.
Find the fourth proportional of
24
,
6
and
32
(i)
6
(ii)
11
(iii)
8
(iv)
32
Question
8
8.
Which of the ratios is proportional to 8 : 2?
(i)
32
:
11
(ii)
31
:
8
(iii)
32
:
8
(iv)
32
:
6
(v)
33
:
8
Question
9
9.
Invertendo of
6
18
=
12
36
(i)
24
18
=
48
36
(ii)
12
18
=
24
36
(iii)
18
6
=
36
12
(iv)
6
12
=
18
36
(v)
24
12
=
48
24
Question
10
10.
Alternendo of
11
6
=
22
12
(i)
11
22
=
6
12
(ii)
5
6
=
10
12
(iii)
17
5
=
34
10
(iv)
6
11
=
12
22
(v)
17
6
=
34
12
Question
11
11.
Componendo of
13
1
=
52
4
(i)
14
1
=
56
4
(ii)
14
12
=
56
48
(iii)
12
1
=
48
4
(iv)
13
52
=
1
4
(v)
1
13
=
4
52
Question
12
12.
Dividendo of
1
8
=
13
104
(i)
1
13
=
8
104
(ii)
8
1
=
104
13
(iii)
7
8
=
91
104
(iv)
9
8
=
117
104
(v)
9
7
=
117
91
Question
13
13.
Componendo and dividendo of
4
17
=
16
68
(i)
13
17
=
52
68
(ii)
21
17
=
84
68
(iii)
17
4
=
68
16
(iv)
21
13
=
84
52
(v)
4
16
=
17
68
Question
14
14.
Invertendo
of
k
i
=
h
b
(i)
k
+
i
k
−
i
=
h
+
b
h
−
b
(ii)
k
+
i
i
=
h
+
b
b
(iii)
k
h
=
i
b
(iv)
k
−
i
i
=
h
−
b
b
(v)
i
k
=
b
h
Question
15
15.
Alternendo
of
o
r
=
d
n
(i)
o
+
r
r
=
d
+
n
n
(ii)
o
d
=
r
n
(iii)
r
o
=
n
d
(iv)
o
+
r
o
−
r
=
d
+
n
d
−
n
(v)
o
−
r
r
=
d
−
n
n
Question
16
16.
Componendo
of
q
a
=
j
p
(i)
q
−
a
a
=
j
−
p
p
(ii)
q
+
a
q
−
a
=
j
+
p
j
−
p
(iii)
q
j
=
a
p
(iv)
q
+
a
a
=
j
+
p
p
(v)
a
q
=
p
j
Question
17
17.
Dividendo
of
v
o
=
e
t
(i)
v
+
o
v
−
o
=
e
+
t
e
−
t
(ii)
v
+
o
o
=
e
+
t
t
(iii)
v
−
o
o
=
e
−
t
t
(iv)
v
e
=
o
t
(v)
o
v
=
t
e
Question
18
18.
Componendo and Dividendo
of
j
y
=
z
p
(i)
j
z
=
y
p
(ii)
j
+
y
j
−
y
=
z
+
p
z
−
p
(iii)
j
−
y
y
=
z
−
p
p
(iv)
y
j
=
p
z
(v)
j
+
y
y
=
z
+
p
p
Question
19
19.
Invertendo
of
j
:
h
::
r
:
s
(i)
h
:
j
::
s
:
r
(ii)
j
−
h
:
h
::
r
−
s
:
s
(iii)
j
:
r
::
h
:
s
(iv)
j
+
h
:
h
::
r
+
s
:
s
(v)
j
+
h
:
j
−
h
::
r
+
s
:
r
−
s
Question
20
20.
Alternendo
of
z
:
v
::
k
:
p
(i)
v
:
z
::
p
:
k
(ii)
z
+
v
:
v
::
k
+
p
:
p
(iii)
z
+
v
:
z
−
v
::
k
+
p
:
k
−
p
(iv)
z
−
v
:
v
::
k
−
p
:
p
(v)
z
:
k
::
v
:
p
Question
21
21.
Componendo
of
n
:
t
::
c
:
l
(i)
n
+
t
:
t
::
c
+
l
:
l
(ii)
n
:
c
::
t
:
l
(iii)
t
:
n
::
l
:
c
(iv)
n
+
t
:
n
−
t
::
c
+
l
:
c
−
l
(v)
n
−
t
:
t
::
c
−
l
:
l
Question
22
22.
Dividendo
of
l
:
a
::
s
:
i
(i)
l
−
a
:
a
::
s
−
i
:
i
(ii)
a
:
l
::
i
:
s
(iii)
l
+
a
:
l
−
a
::
s
+
i
:
s
−
i
(iv)
l
:
s
::
a
:
i
(v)
l
+
a
:
a
::
s
+
i
:
i
Question
23
23.
Componendo and Dividendo
of
g
:
o
::
r
:
w
(i)
g
+
o
:
g
−
o
::
r
+
w
:
r
−
w
(ii)
g
:
r
::
o
:
w
(iii)
o
:
g
::
w
:
r
(iv)
g
−
o
:
o
::
r
−
w
:
w
(v)
g
+
o
:
o
::
r
+
w
:
w
Question
24
24.
If
a
:
b
::
c
:
d
,
then
(i)
abc = bcd
(ii)
ad = bc
(iii)
ac = bd
(iv)
ab = cd
Question
25
25.
The ratio 3 : 2 is proportional to which of the following ratios?
(i)
12
:
8
(ii)
15
:
4
(iii)
6
:
10
(iv)
9
:
12
(v)
18
:
6
Question
26
26.
Which of the following represents a proportion ?
(i)
37
:
25
::
74
:
75
(ii)
36
:
24
::
108
:
72
(iii)
38
:
26
::
114
:
52
(iv)
34
:
22
::
136
:
66
(v)
35
:
23
::
105
:
92
Question
27
27.
Which of the following does not represent a proportion ?
(i)
18
:
24
::
36
:
48
(ii)
9
:
15
::
36
:
60
(iii)
10
:
14
::
30
:
42
(iv)
4
:
6
::
8
:
18
(v)
8
:
16
::
40
:
80
Question
28
28.
If
a
:
b
::
c
:
d
,
then '
d
' is called
(i)
mean proportional
(ii)
third proportional
(iii)
second term
(iv)
extreme
(v)
first term
Question
29
29.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
extreme
(ii)
fourth proportional
(iii)
mean proportional
(iv)
first term
(v)
third 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)
a
(ii)
ac
(iii)
b
(iv)
c
(v)
bc
Question
32
32.
If
a,b,c,d,e,f
are in continued proportion, then which of the following is true?
(i)
a
b
=
b
c
=
c
d
(ii)
a
b
=
c
d
=
e
f
(iii)
ab
=
bc
=
cd
=
de
(iv)
a
b
b
c
=
b
c
c
d
=
c
d
d
e
Question
33
33.
If
x
:
18
::
24
:
12
, find '
x
'
(i)
33
(ii)
36
(iii)
38
(iv)
35
(v)
37
Question
34
34.
Find the fourth proportional of 15, 12, 25
(i)
20
(ii)
23
(iii)
18
(iv)
19
(v)
21
Question
35
35.
Find the third proportional of 27 and 9
(i)
0
(ii)
4
(iii)
5
(iv)
3
(v)
2
Question
36
36.
Find the mean proportional of
7
and
175
(i)
38
(ii)
34
(iii)
36
(iv)
35
(v)
32
Question
37
37.
If
9
,
x
,
225
are in continued proportion, find
x
(i)
43
(ii)
48
(iii)
46
(iv)
45
(v)
44
Question
38
38.
Find the mean proportional between
1.3
and
20.8
(i)
4.2
(ii)
7.2
(iii)
6.2
(iv)
3.2
(v)
5.2
Question
39
39.
Find the mean proportional between
√
7
and
√
252
(i)
42
(ii)
√
44
(iii)
4
√
42
(iv)
√
42
(v)
√
39
Question
40
40.
Invertendo
of
2
3
=
14
21
(i)
5
1
=
35
7
(ii)
5
3
=
35
21
(iii)
1
3
=
7
21
(iv)
2
14
=
3
21
(v)
3
2
=
21
14
Question
41
41.
Alternendo
of
3
4
=
18
24
(i)
3
18
=
4
24
(ii)
7
4
=
42
24
(iii)
7
1
=
42
6
(iv)
1
4
=
6
24
(v)
4
3
=
24
18
Question
42
42.
Componendo
of
9
3
=
63
21
(i)
6
3
=
42
21
(ii)
3
9
=
21
63
(iii)
12
3
=
84
21
(iv)
12
6
=
84
42
(v)
9
63
=
3
21
Question
43
43.
Dividendo
of
8
6
=
24
18
(i)
14
6
=
42
18
(ii)
6
8
=
18
24
(iii)
2
6
=
6
18
(iv)
8
24
=
6
18
(v)
14
2
=
42
6
Question
44
44.
Componendo and Dividendo
of
6
2
=
18
6
(i)
6
18
=
2
6
(ii)
2
6
=
6
18
(iii)
8
2
=
24
6
(iv)
8
4
=
24
12
(v)
4
2
=
12
6
Question
45
45.
Invertendo
of
8
:
6
::
40
:
30
(i)
6
:
8
::
30
:
40
(ii)
14
:
6
::
70
:
30
(iii)
14
:
2
::
70
:
10
(iv)
8
:
40
::
6
:
30
(v)
2
:
6
::
10
:
30
Question
46
46.
Alternendo
of
4
:
9
::
8
:
18
(i)
13
:
9
::
26
:
18
(ii)
5
:
9
::
10
:
18
(iii)
9
:
4
::
18
:
8
(iv)
4
:
8
::
9
:
18
(v)
13
:
5
::
26
:
10
Question
47
47.
Componendo
of
7
:
4
::
28
:
16
(i)
4
:
7
::
16
:
28
(ii)
7
:
28
::
4
:
16
(iii)
11
:
3
::
44
:
12
(iv)
11
:
4
::
44
:
16
(v)
3
:
4
::
12
:
16
Question
48
48.
Dividendo
of
7
:
5
::
14
:
10
(i)
2
:
5
::
4
:
10
(ii)
5
:
7
::
10
:
14
(iii)
12
:
5
::
24
:
10
(iv)
12
:
2
::
24
:
4
(v)
7
:
14
::
5
:
10
Question
49
49.
Componendo and Dividendo
of
5
:
7
::
25
:
35
(i)
12
:
7
::
60
:
35
(ii)
2
:
7
::
10
:
35
(iii)
7
:
5
::
35
:
25
(iv)
12
:
2
::
60
:
10
(v)
5
:
25
::
7
:
35
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (iii)
5) (ii)
6) (v)
7) (iii)
8) (iii)
9) (iii)
10) (i)
11) (i)
12) (iii)
13) (iv)
14) (v)
15) (ii)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (v)
21) (i)
22) (i)
23) (i)
24) (ii)
25) (i)
26) (ii)
27) (iv)
28) (iv)
29) (iii)
30) (iv)
31) (iii)
32) (i)
33) (ii)
34) (i)
35) (iv)
36) (iv)
37) (iv)
38) (v)
39) (iv)
40) (v)
41) (i)
42) (iii)
43) (iii)
44) (iv)
45) (i)
46) (iv)
47) (iv)
48) (i)
49) (iv)
