EduSahara™ Assignment
Name : Proportion Concepts
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the product of extremes of
14
:
18
and
7
:
6
(i)
84
(ii)
86
(iii)
81
(iv)
83
(v)
126
Question
2
2.
Find the product of extremes of
13
19
:
5
2
and
2
9
:
1
10
(i)
13
190
(ii)
3
38
(iii)
11
190
(iv)
13
188
(v)
5
9
Question
3
3.
Find the product of means of
12
:
14
and
7
:
3
(i)
98
(ii)
97
(iii)
96
(iv)
36
(v)
101
Question
4
4.
Find the product of means of
18
7
:
1
10
and
2
15
:
11
17
(i)
1
75
(ii)
1
25
(iii)
(
-1
75
)
(iv)
1
73
(v)
198
119
Question
5
5.
Find the mean proportional of
128
and
2
(i)
128
(ii)
2
(iii)
16
(iv)
256
(v)
14
Question
6
6.
Find the third proportional of
32
and
8
(i)
8
(ii)
64
(iii)
32
(iv)
2
(v)
0
Question
7
7.
Find the fourth proportional of
30
,
5
and
18
(i)
0
(ii)
5
(iii)
18
(iv)
3
Question
8
8.
Which of the ratios is proportional to 12 : 3?
(i)
31
:
8
(ii)
33
:
8
(iii)
32
:
10
(iv)
32
:
8
(v)
32
:
5
Question
9
9.
Invertendo of
16
18
=
160
180
(i)
2
18
=
20
180
(ii)
34
2
=
340
20
(iii)
34
18
=
340
180
(iv)
18
16
=
180
160
(v)
16
160
=
18
180
Question
10
10.
Alternendo of
1
14
=
15
210
(i)
15
13
=
225
195
(ii)
15
14
=
225
210
(iii)
14
1
=
210
15
(iv)
1
15
=
14
210
(v)
13
14
=
195
210
Question
11
11.
Componendo of
10
3
=
120
36
(i)
10
120
=
3
36
(ii)
7
3
=
84
36
(iii)
13
3
=
156
36
(iv)
13
7
=
156
84
(v)
3
10
=
36
120
Question
12
12.
Dividendo of
10
6
=
150
90
(i)
16
6
=
240
90
(ii)
4
6
=
60
90
(iii)
6
10
=
90
150
(iv)
16
4
=
240
60
(v)
10
150
=
6
90
Question
13
13.
Componendo and dividendo of
12
19
=
72
114
(i)
7
19
=
42
114
(ii)
12
72
=
19
114
(iii)
19
12
=
114
72
(iv)
31
7
=
186
42
(v)
31
19
=
186
114
Question
14
14.
Invertendo
of
t
s
=
i
l
(i)
t
−
s
s
=
i
−
l
l
(ii)
s
t
=
l
i
(iii)
t
+
s
t
−
s
=
i
+
l
i
−
l
(iv)
t
+
s
s
=
i
+
l
l
(v)
t
i
=
s
l
Question
15
15.
Alternendo
of
r
p
=
x
a
(i)
r
x
=
p
a
(ii)
r
+
p
p
=
x
+
a
a
(iii)
r
−
p
p
=
x
−
a
a
(iv)
r
+
p
r
−
p
=
x
+
a
x
−
a
(v)
p
r
=
a
x
Question
16
16.
Componendo
of
b
g
=
p
i
(i)
b
−
g
g
=
p
−
i
i
(ii)
g
b
=
i
p
(iii)
b
+
g
b
−
g
=
p
+
i
p
−
i
(iv)
b
p
=
g
i
(v)
b
+
g
g
=
p
+
i
i
Question
17
17.
Dividendo
of
u
c
=
g
e
(i)
c
u
=
e
g
(ii)
u
+
c
c
=
g
+
e
e
(iii)
u
g
=
c
e
(iv)
u
+
c
u
−
c
=
g
+
e
g
−
e
(v)
u
−
c
c
=
g
−
e
e
Question
18
18.
Componendo and Dividendo
of
f
a
=
e
q
(i)
a
f
=
q
e
(ii)
f
−
a
a
=
e
−
q
q
(iii)
f
+
a
f
−
a
=
e
+
q
e
−
q
(iv)
f
+
a
a
=
e
+
q
q
(v)
f
e
=
a
q
Question
19
19.
Invertendo
of
t
:
f
::
j
:
y
(i)
t
:
j
::
f
:
y
(ii)
t
+
f
:
t
−
f
::
j
+
y
:
j
−
y
(iii)
t
−
f
:
f
::
j
−
y
:
y
(iv)
f
:
t
::
y
:
j
(v)
t
+
f
:
f
::
j
+
y
:
y
Question
20
20.
Alternendo
of
t
:
l
::
c
:
a
(i)
t
+
l
:
l
::
c
+
a
:
a
(ii)
t
+
l
:
t
−
l
::
c
+
a
:
c
−
a
(iii)
t
:
c
::
l
:
a
(iv)
l
:
t
::
a
:
c
(v)
t
−
l
:
l
::
c
−
a
:
a
Question
21
21.
Componendo
of
l
:
i
::
b
:
t
(i)
l
+
i
:
l
−
i
::
b
+
t
:
b
−
t
(ii)
i
:
l
::
t
:
b
(iii)
l
:
b
::
i
:
t
(iv)
l
+
i
:
i
::
b
+
t
:
t
(v)
l
−
i
:
i
::
b
−
t
:
t
Question
22
22.
Dividendo
of
l
:
j
::
r
:
n
(i)
l
:
r
::
j
:
n
(ii)
l
+
j
:
l
−
j
::
r
+
n
:
r
−
n
(iii)
l
+
j
:
j
::
r
+
n
:
n
(iv)
j
:
l
::
n
:
r
(v)
l
−
j
:
j
::
r
−
n
:
n
Question
23
23.
Componendo and Dividendo
of
z
:
t
::
v
:
y
(i)
z
+
t
:
z
−
t
::
v
+
y
:
v
−
y
(ii)
z
−
t
:
t
::
v
−
y
:
y
(iii)
z
+
t
:
t
::
v
+
y
:
y
(iv)
t
:
z
::
y
:
v
(v)
z
:
v
::
t
:
y
Question
24
24.
If
a
:
b
::
c
:
d
,
then
(i)
ab = cd
(ii)
abc = bcd
(iii)
ad = bc
(iv)
ac = bd
Question
25
25.
The ratio 5 : 4 is proportional to which of the following ratios?
(i)
10
:
16
(ii)
25
:
12
(iii)
15
:
20
(iv)
20
:
8
(v)
30
:
24
Question
26
26.
Which of the following represents a proportion ?
(i)
32
:
40
::
128
:
160
(ii)
33
:
41
::
66
:
123
(iii)
30
:
38
::
120
:
114
(iv)
34
:
42
::
102
:
84
(v)
31
:
39
::
93
:
156
Question
27
27.
Which of the following does not represent a proportion ?
(i)
21
:
18
::
42
:
36
(ii)
12
:
9
::
48
:
36
(iii)
12
:
10
::
36
:
30
(iv)
12
:
8
::
60
:
40
(v)
5
:
4
::
10
:
12
Question
28
28.
If
a
:
b
::
c
:
d
,
then '
a
' is called
(i)
mean proportional
(ii)
fourth proportional
(iii)
extreme
(iv)
second term
(v)
third proportional
Question
29
29.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
third proportional
(ii)
first term
(iii)
mean proportional
(iv)
fourth proportional
(v)
extreme
Question
30
30.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
mean proportional
(ii)
first term
(iii)
third proportional
(iv)
second term
Question
31
31.
If
a
:
b
::
b
:
c
,
then the mean proportional is
(i)
a
(ii)
ac
(iii)
c
(iv)
b
(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
=
b
c
c
d
=
c
d
d
e
(ii)
a
b
=
b
c
=
c
d
(iii)
a
b
=
c
d
=
e
f
(iv)
ab
=
bc
=
cd
=
de
Question
33
33.
If
12
:
x
::
15
:
30
, find '
x
'
(i)
23
(ii)
25
(iii)
24
(iv)
21
(v)
26
Question
34
34.
Find the fourth proportional of 18, 30, 9
(i)
15
(ii)
14
(iii)
12
(iv)
16
(v)
17
Question
35
35.
Find the third proportional of 3 and 15
(i)
73
(ii)
78
(iii)
75
(iv)
74
(v)
76
Question
36
36.
Find the mean proportional of
7
and
112
(i)
27
(ii)
29
(iii)
25
(iv)
31
(v)
28
Question
37
37.
If
2
,
x
,
50
are in continued proportion, find
x
(i)
11
(ii)
8
(iii)
12
(iv)
10
(v)
9
Question
38
38.
Find the mean proportional between
1.1
and
27.5
(i)
4.5
(ii)
7.5
(iii)
5.5
(iv)
3.5
(v)
6.5
Question
39
39.
Find the mean proportional between
√
7
and
4
√
7
(i)
14
(ii)
2
√
7
(iii)
2
√
4
(iv)
2
4
√
7
(v)
2
√
10
Question
40
40.
Invertendo
of
7
4
=
42
24
(i)
4
7
=
24
42
(ii)
7
42
=
4
24
(iii)
11
4
=
66
24
(iv)
11
3
=
66
18
(v)
3
4
=
18
24
Question
41
41.
Alternendo
of
5
2
=
30
12
(i)
2
5
=
12
30
(ii)
5
30
=
2
12
(iii)
7
3
=
42
18
(iv)
7
2
=
42
12
(v)
3
2
=
18
12
Question
42
42.
Componendo
of
6
4
=
24
16
(i)
10
4
=
40
16
(ii)
6
24
=
4
16
(iii)
10
2
=
40
8
(iv)
2
4
=
8
16
(v)
4
6
=
16
24
Question
43
43.
Dividendo
of
7
8
=
35
40
(i)
8
7
=
40
35
(ii)
7
35
=
8
40
(iii)
15
1
=
75
5
(iv)
15
8
=
75
40
(v)
1
8
=
5
40
Question
44
44.
Componendo and Dividendo
of
3
7
=
12
28
(i)
10
4
=
40
16
(ii)
7
3
=
28
12
(iii)
3
12
=
7
28
(iv)
4
7
=
16
28
(v)
10
7
=
40
28
Question
45
45.
Invertendo
of
2
:
9
::
6
:
27
(i)
7
:
9
::
21
:
27
(ii)
9
:
2
::
27
:
6
(iii)
2
:
6
::
9
:
27
(iv)
11
:
9
::
33
:
27
(v)
11
:
7
::
33
:
21
Question
46
46.
Alternendo
of
2
:
5
::
16
:
40
(i)
5
:
2
::
40
:
16
(ii)
3
:
5
::
24
:
40
(iii)
2
:
16
::
5
:
40
(iv)
7
:
3
::
56
:
24
(v)
7
:
5
::
56
:
40
Question
47
47.
Componendo
of
7
:
8
::
42
:
48
(i)
8
:
7
::
48
:
42
(ii)
7
:
42
::
8
:
48
(iii)
1
:
8
::
6
:
48
(iv)
15
:
1
::
90
:
6
(v)
15
:
8
::
90
:
48
Question
48
48.
Dividendo
of
8
:
5
::
32
:
20
(i)
5
:
8
::
20
:
32
(ii)
8
:
32
::
5
:
20
(iii)
13
:
5
::
52
:
20
(iv)
3
:
5
::
12
:
20
(v)
13
:
3
::
52
:
12
Question
49
49.
Componendo and Dividendo
of
7
:
8
::
56
:
64
(i)
7
:
56
::
8
:
64
(ii)
15
:
1
::
120
:
8
(iii)
8
:
7
::
64
:
56
(iv)
1
:
8
::
8
:
64
(v)
15
:
8
::
120
:
64
Assignment Key
1) (i)
2) (i)
3) (i)
4) (i)
5) (iii)
6) (iv)
7) (iv)
8) (iv)
9) (iv)
10) (iv)
11) (iii)
12) (ii)
13) (iv)
14) (ii)
15) (i)
16) (v)
17) (v)
18) (iii)
19) (iv)
20) (iii)
21) (iv)
22) (v)
23) (i)
24) (iii)
25) (v)
26) (i)
27) (v)
28) (iii)
29) (iii)
30) (iii)
31) (iv)
32) (ii)
33) (iii)
34) (i)
35) (iii)
36) (v)
37) (iv)
38) (iii)
39) (ii)
40) (i)
41) (ii)
42) (i)
43) (v)
44) (i)
45) (ii)
46) (iii)
47) (v)
48) (iv)
49) (ii)
