General Aptitude TestQuantitative ReasoningAlgebra

If ≤ft(2 a+3/a-1)=11, what is the value of ≤ft(4 a^2+9/(a^2)) ?

If $\left(2 \mathrm{a}+\frac{3}{a}-1\right)=11$, what is the value of $\left(4 a^2+\frac{9}{a^2}\right) ?$

Answer & explanation

Correct answer: option 3

If $K+\frac{1}{K}=n$

then, $K^2+\frac{1}{K^2}$ = n² – 2

If $\left(2 \mathrm{a}+\frac{3}{a}-1\right)=11$

Then, $\left(2 \mathrm{a}+\frac{3}{a}\right)=11+1=12$

what is the value of $\left(4 a^2+\frac{9}{a^2}\right) ?$ = 12² – 2 × 2 × 3 = 132