EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If
a
b
=
c
d
,
then which of the following is true ?
(i)
3
a
+
2
d
3
a
−
2
d
=
2
b
+
3
c
2
b
−
3
c
(ii)
3
a
+
5
b
3
a
−
5
d
=
3
c
+
2
d
3
c
−
5
d
(iii)
3
a
+
2
b
3
a
−
2
b
=
3
c
+
2
d
3
c
−
2
d
(iv)
3
a
−
5
b
3
a
−
5
d
=
3
c
−
2
d
3
c
−
5
d
Question
2
2.
Find the product of extremes of
3
:
15
and
1
:
7
(i)
21
(ii)
19
(iii)
20
(iv)
23
(v)
15
Question
3
3.
Dividendo
of
q
p
=
k
c
(i)
q
k
=
p
c
(ii)
q
−
p
p
=
k
−
c
c
(iii)
p
q
=
c
k
(iv)
q
+
p
p
=
k
+
c
c
(v)
q
+
p
q
−
p
=
k
+
c
k
−
c
Question
4
4.
Find the fourth proportional of
32
,
8
and
28
(i)
9
(ii)
7
(iii)
4
(iv)
28
(v)
8
Question
5
5.
Find the mean proportional between
2.5
and
40
(i)
8
(ii)
9
(iii)
11
(iv)
10
(v)
12
Question
6
6.
Invertendo
of
e
:
a
::
q
:
y
(i)
e
+
a
:
a
::
q
+
y
:
y
(ii)
e
+
a
:
e
−
a
::
q
+
y
:
q
−
y
(iii)
e
:
q
::
a
:
y
(iv)
a
:
e
::
y
:
q
(v)
e
−
a
:
a
::
q
−
y
:
y
Question
7
7.
If
(
3
x
+
12
)
,
(
x
+
21
)
,
(
2
x
+
24
)
and
(
x
+
12
)
are in proportion,
find
x
(i)
(
30
,
-12
)
(ii)
(
32
,
-12
)
(iii)
(
31
,
-11
)
(iv)
(
30
,
-13
)
(v)
(
-10
,
32
)
Question
8
8.
If
'b'
is the mean proportional between
'a'
and
'c'
,
then the mean proportional between
(
a
2
+
b
2
)
and
(
b
2
+
c
2
) is
(i)
ab + bc + ca
(ii)
c (a + b)
(iii)
a (b + c)
(iv)
b (a + c)
Question
9
9.
Invertendo
of
x
y
=
l
h
(i)
y
x
=
h
l
(ii)
x
l
=
y
h
(iii)
x
+
y
x
−
y
=
l
+
h
l
−
h
(iv)
x
−
y
y
=
l
−
h
h
(v)
x
+
y
y
=
l
+
h
h
Question
10
10.
Find two numbers whose mean proportional is
14
and third proportional is
2401
4
(i)
6
and
49
(ii)
4
and
47
(iii)
5
and
49
(iv)
4
and
48
(v)
4
and
49
Question
11
11.
If
a
:
b
::
c
:
d
,
then
(i)
ac = bd
(ii)
abc = bcd
(iii)
ad = bc
(iv)
ab = cd
Question
12
12.
If
a
:
b
::
c
:
d
,
then '
d
' is called
(i)
extreme
(ii)
first term
(iii)
second term
(iv)
mean proportional
(v)
third proportional
Question
13
13.
Componendo
of
6
5
=
18
15
(i)
11
1
=
33
3
(ii)
6
18
=
5
15
(iii)
1
5
=
3
15
(iv)
11
5
=
33
15
(v)
5
6
=
15
18
Question
14
14.
If
(
2
x
+
2
)
is the geometric mean of
(
x
+
1
)
and
(
4
x
+
4
)
,
find
x
(i)
(
1
,
1
)
(ii)
(
0
,
-1
)
(iii)
(
0
,
0
)
(iv)
(
2
,
2
)
(v)
(
2
,
0
)
Question
15
15.
Dividendo
of
5
9
=
30
54
(i)
14
9
=
84
54
(ii)
14
4
=
84
24
(iii)
9
5
=
54
30
(iv)
4
9
=
24
54
(v)
5
30
=
9
54
Question
16
16.
Which of the following represents a proportion ?
(i)
48
:
40
::
240
:
200
(ii)
50
:
42
::
150
:
84
(iii)
49
:
41
::
98
:
123
(iv)
47
:
39
::
141
:
156
(v)
46
:
38
::
184
:
114
Question
17
17.
Dividendo
of
6
:
4
::
24
:
16
(i)
10
:
4
::
40
:
16
(ii)
10
:
2
::
40
:
8
(iii)
4
:
6
::
16
:
24
(iv)
2
:
4
::
8
:
16
(v)
6
:
24
::
4
:
16
Question
18
18.
If
a
b
+
c
=
b
c
+
a
=
c
a
+
b
where
a
+
b
+
c
≠
0,
then each of the ratios is equal to
(i)
-1
(ii)
(
-1
2
)
(iii)
2
(iv)
1
2
(v)
a + b + c
Question
19
19.
Componendo of
13
14
=
130
140
(i)
27
1
=
270
10
(ii)
13
130
=
14
140
(iii)
14
13
=
140
130
(iv)
27
14
=
270
140
(v)
1
14
=
10
140
Question
20
20.
Dividendo
of
q
:
m
::
o
:
g
(i)
q
−
m
:
m
::
o
−
g
:
g
(ii)
q
+
m
:
m
::
o
+
g
:
g
(iii)
q
:
o
::
m
:
g
(iv)
m
:
q
::
g
:
o
(v)
q
+
m
:
q
−
m
::
o
+
g
:
o
−
g
Question
21
21.
Componendo
of
7
:
9
::
28
:
36
(i)
16
:
9
::
64
:
36
(ii)
2
:
9
::
8
:
36
(iii)
7
:
28
::
9
:
36
(iv)
9
:
7
::
36
:
28
(v)
16
:
2
::
64
:
8
Question
22
22.
Which of the following does not represent a proportion ?
(i)
21
:
18
::
42
:
36
(ii)
12
:
10
::
36
:
30
(iii)
5
:
4
::
10
:
12
(iv)
12
:
8
::
60
:
40
(v)
12
:
9
::
48
:
36
Question
23
23.
If
15
:
30
::
18
:
x
, find '
x
'
(i)
37
(ii)
34
(iii)
35
(iv)
38
(v)
36
Question
24
24.
Find the mean proportional of
72
and
2
(i)
12
(ii)
144
(iii)
72
(iv)
2
(v)
9
Question
25
25.
Alternendo of
20
4
=
260
52
(i)
24
16
=
312
208
(ii)
24
4
=
312
52
(iii)
20
260
=
4
52
(iv)
4
20
=
52
260
(v)
16
4
=
208
52
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (ii)
5) (iv)
6) (iv)
7) (i)
8) (iv)
9) (i)
10) (v)
11) (iii)
12) (i)
13) (iv)
14) (iii)
15) (iv)
16) (i)
17) (iv)
18) (iv)
19) (iv)
20) (i)
21) (i)
22) (iii)
23) (v)
24) (i)
25) (iii)
