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Byju's Answer
Standard VI
Physics
Atoms and Molecules
Let S = (a,b)...
Question
Let S = {(a,b):a,bZ,0a,b18}. The number of elements (x,y) in S such that 3x + 4y + 5 is divisible by 19 is : (A) 38(B) 19(C) 18(D) 1
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Similar questions
Q.
Let
S
=
{
(
a
,
b
)
:
a
,
b
ϵ
Z
,
0
≤
a
,
b
≤
18
}
. The number of elements
(
x
,
y
)
in S such that
3
x
+
4
y
+
5
is divisible by
19
is
?
Q.
Let
S
=
{
(
a
,
b
)
:
a
,
b
ϵ
Z
,
0
≤
a
,
b
≤
18
}
. The number of elements
(
x
,
y
)
in
S
such that
3
x
+
4
y
+
5
is divided by
19
is
Q.
Let
S
=
{
1
,
2
,
3
,
.
.
.
.
,
40
}
and let
A
be a subset of
S
such that no two elements in
A
have their sum divisible by
5
. What is the maximum number of elements possible in
A
?
Q.
Let
S
=
{
1
,
2
,
3
,
.
.
.
,
40
}
and let A be a subset of such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?
Q.
Given that the real numbers
s
,
t
satisfy
19
s
2
+
99
s
+
1
=
0
,
t
2
+
99
t
+
19
=
0
and
s
t
≠
1
, then the absolute value of
s
t
+
4
s
+
1
t
is
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