If 39 a 39 varies as 39 b 39 then which of the following statements is are correct 1 nth root of a2b...........

Quantitative Aptitude Number System

If 'a' varies as 'b', then which of the following statements is/are correct ?

1. n^th root of a²b varies as (2n)^th root of a⁴b².

2. $\frac{a}{b^{2}}$ varies inversely as b.

Select the correct answer using the code given below :

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EPFO AO EO 2021

1 only

2 only

Both 1 and 2

Neither 1 nor 2

- Given ( a ) varies as ( b ), a = kb for a constant ( k ).

- Statement 1: ( n )^th root of ( a²b ) and ( 2n )^th root of ( a⁴b²) must relate proportionately.

- Simplifying gives proportional expressions after root transformations, making this statement true.

- Statement 2: a/b² = kb/b²= k/b demonstrates inverse variation with ( b ), which is correct.

- Option 3: Both 1 and 2 - Both statements correctly represent the conditions of inverse and direct variations. Correct Answer

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