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Haryana Police Constable Model Paper 8
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© examsnet.com
Question : 15
Total: 100
2
18
−
1
is divisible by:
13
11
7
17
Validate
Solution:
Formula used
:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
b
2
+
ab
)
Calculation
:
⇒
(
2
9
−
1
)
(
2
9
+
1
)
⇒
[
(
2
3
)
3
−
1
)
(
2
9
+
1
)
]
⇒
[
(
2
3
−
1
)
(
2
6
+
1
+
2
3
)
(
2
9
+
1
)
]
⇒
[
(
8
−
1
)
(
64
+
1
+
8
)
(
2
9
+
1
)
]
⇒
[
(
7
)
×
(
73
)
×
(
2
9
+
1
)
]
Since, 7 is one of the factor of
21
8
−
1
∴
It will be divisible by 7
.
© examsnet.com
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