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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 22
Total: 77
If
a
+
b
=
2
c
, then what is the value of
a
a
−
c
+
c
b
−
c
[2018 CDS-I]
−
1
0
1
2
Validate
Solution:
Assume such values of a, b, c, such that it satisfies
a
+
b
=
2
c
and
a
–
c
,
b
–
c
≠
0
Let a = 2, b = 0 and c = 1
∴
a
a
−
c
+
c
b
−
c
=
2
2
−
1
+
1
0
−
1
=
2
−
1
=
1
Alternative Method:
a
+
b
=
2
c
⇒
c
−
a
=
b
−
c
∴
a
a
−
c
+
c
b
−
c
=
a
a
−
c
+
c
c
−
a
a
a
−
c
−
c
a
−
c
=
a
−
c
a
−
c
=
1
© examsnet.com
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