AP ICET 2017 Shift 1 Paper

Question : 79 of 200

Marks: +1, -0

The cube root of a is inversely proportional to the square of b. if a =8 when b = 3 then 3 the value of a when

b=3/2

Solution:

a^{1/3}∝1/b^2⇒a^{1/3}.b^2=

constant

⇒a^{1/3}.(3/2)^2=(8)^{1/3}.(3)^2⇒a^{1/3}=2×9×4/9

⇒a=(8)^3=512

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