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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 50
Total: 100
The expression
5
2
n
−
2
3
n
has a factor
[2019 CDS-I]
3
7
17
None of the above
Validate
Solution:
Putting n = 1, we have
5
2
n
−
2
3
n
=
25
−
8
=
17
Putting n = 2, we have
5
2
n
−
2
3
n
=
625
−
64
=
561
∴
5
2
n
−
2
3
n
is divisible by 17
© examsnet.com
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