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NIMCET 2016 Question Paper with solutions
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© examsnet.com
Question : 16
Total: 120
The number of common terms in the two sequence 17, 21, 25, ..... 817 and 16, 21, 26, ... 851 is;
28
39
40
87
Validate
Solution:
Number of terms in
1st series
817
=
17
+
(
m
−
1
)
4
⇒
m
=
201
2nd series,
851
=
16
+
(
n
−
1
)
5
⇒
n
=
168
Now,
17
+
(
m
−
1
)
4
=
16
+
(
n
−
1
)
5
⇒
4
m
+
2
=
5
n
For,
m
=
2
,
n
=
2
m
=
7
,
n
=
6
m
=
12
,
n
=
10
m
=
17
,
n
=
14
It also form a series.
∴ Number of common terms,
197
=
2
+
(
P
−
1
)
5
⇒
P
=
40
© examsnet.com
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