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Byju's Answer
Standard VII
Mathematics
Set Builder Method
If a,b,c belo...
Question
If a,b,c belongs to N such that c divides ab and 'c' and 'a' are relatively prime, then (a) ac = b (b) c divides b (c) c = abk, k belongs to N (d) c divides root a
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Similar questions
Q.
Let
a
,
b
,
c
be positive integers such that a divides
b
2
, b divides
c
2
and c divides
a
2
. Prove that
a
b
c
divides
(
a
+
b
+
c
)
7
Q.
Let
a
,
b
,
c
be positive integers such that
a
divides
b
3
,
b
divides
c
3
, and
c
divides
a
3
. Prove that
a
b
c
divides
(
a
+
b
+
c
)
13
.
Q.
Let a, b, c be positive integers such that a divides
b
4
, b divides
c
4
and c divides
a
4
. Prove that abc divides
(
a
+
b
+
c
)
21
Q.
Let
a
,
b
,
c
be positive integers such that
a
divides
b
5
,
b
divides
c
5
, and
c
divides
a
5
. Prove that
a
b
c
divides
(
a
+
b
+
c
)
31
.
Q.
In the
Δ
ABC, if DE divides AB and AC in the same proportions, then:
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