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Question
Mathematics
Number of divisors of the form (4n + 2), n ge 0 of the integer 240 is
Q. Number of divisors of the form
(
4
n
+
2
)
,
n
≥
0
of the integer
240
is
2520
190
IIT JEE
IIT JEE 1998
Permutations and Combinations
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A
4
39%
B
8
28%
C
10
23%
D
3
10%
Solution:
Since,
240
=
2
4
⋅
3
⋅
5
∴
Total number of divisors
=
(
4
+
1
)
(
2
)
(
2
)
=
20
Out of these
2
,
6
,
10
, and
30
are of the form
4
n
+
2
.
Therefore, (a) is the answer.