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UPSC CDS Math Square, Roots and Surds Questions
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© examsnet.com
Question : 1
Total: 22
Given
y
is inversely proportional to
√
x
and
x
=
36
when
y
=
36
. What is the value of x when
y
=
5
4 ?
[2019 CDS-II]
54
27
16
8
Validate
Solution:
According to the question,
y
∝
1
√
x
y
=
k
√
x
x
=
36
,
y
=
36
⇒
36
=
k
√
36
⇒
k
=
216
Now,
y
=
54
,
k
=
216
54
=
216
√
x
∴
√
x
=
4
⇒
x
=
16
© examsnet.com
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