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ICSE Grade VIII - Simple Linear Equations
Question
1
1.
A certain number of men can do a work in
40
days
.
If there were
2
men
less
,
it would take
8
days
more
to complete the work.
How many men are required to complete the work in
30
days
?
15
13
19
17
16
Question
2
2.
The ratio of males to females in a committee of 110 members is 6 : 5. How many more ladies should be added to the committee so that the ratio of males to females is 6 : 13?
82
81
79
78
80
Question
3
3.
The ratio of two numbers is
4
:
2
and their LCM is 52. Find the numbers.
56
:
28
60
:
30
48
:
24
52
:
26
44
:
22
Question
4
4.
In △CDE, if ∠C = 68° and ∠D = 65°, find the measure of ∠E
E
=
46°
E
=
45°
E
=
49°
E
=
47°
E
=
48°
Question
5
5.
Which of the following equations is the same as
(
5
x
−
5
)
=
(
−
7
)
(
4
x
−
6
)
=
(
x
−
6
)
(
4
x
−
6
)
=
(
−
x
−
8
)
(
12
x
−
2
)
=
(
−
7
x
−
10
)
(
−
2
x
−
8
)
=
(
7
x
−
4
)
(
6
x
−
4
)
=
(
−
x
−
8
)
Question
6
6.
Solve :
(
−
2
x
+
5
)
+
(
−
2
x
−
5
)
=
(
−
4
x
−
1
)
20
(
-1
76
)
3
76
1
76
1
78
1
74
Question
7
7.
Which of the following equations is not equivalent to
(
4
x
−
1
)
=
0
4
x
=
(
−
3
)
(
−
8
x
)
=
(
−
2
)
(
−
4
x
)
=
(
−
1
)
(
−
12
x
)
=
(
−
3
)
8
x
=
2
Question
8
8.
A ratio is equal to 7 : 5. If its consequent is 3990, what is its antecendent?
5585
5589
5587
5584
5586
Question
9
9.
Which of the following equations is the same as
9
x
=
8
(
10
x
+
3
)
=
(
−
x
+
5
)
(
16
x
−
9
)
=
(
−
7
x
+
17
)
(
8
x
−
3
)
=
(
x
+
11
)
(
2
x
+
9
)
=
(
7
x
−
1
)
(
8
x
−
3
)
=
(
−
x
+
5
)
Question
10
10.
Which of the following equations is not the same as
(
5
x
−
2
)
=
6
(
−
10
x
+
4
)
=
4
(
20
x
−
8
)
=
24
(
−
5
x
+
2
)
=
(
−
6
)
(
−
15
x
+
6
)
=
(
−
18
)
(
10
x
−
4
)
=
12
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