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NIMCET 2018 Question Paper with solutions
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© examsnet.com
Question : 43
Total: 120
Suppose that m and n are fixed numbers such that the mth term
a
m
is equal to n and the nth term
a
n
is equal to m (m ≠ n) , then the
(
m
+
n
)
th
term is
(m + n) / mn
mn / (m + n)
(m + n) / n
(m + n) / m
Validate
Solution:
Given that, m th term of H.P
1
n
=
1
a
+
(
m
−
1
)
d
.
.
.
(
i
)
and n th term
1
m
=
1
a
+
(
n
−
1
)
d
.
.
.
(
i
i
)
Subtract Eq. (ii) from Eq. (i), we get
1
n
−
1
m
=
1
a
+
(
m
−
1
)
d
−
1
a
−
(
n
−
1
)
d
⇒
m
−
n
m
n
=
d
[
m
−
1
−
n
+
1
]
⇒
d
=
1
m
n
Put the value of d in Eq. (i)
1
n
=
1
a
+
m
−
1
m
n
1
a
=
1
n
−
(
m
−
1
)
m
n
=
m
−
m
+
1
m
n
=
1
m
n
a
=
m
n
∴
T
m
+
n
=
1
1
m
n
+
(
m
+
n
−
1
)
1
m
n
=
1
1
+
m
+
n
−
1
m
n
=
m
n
m
+
n
© examsnet.com
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