This is the boss. No calculator. Today the bench convention is $\dfrac{1}{2\pi} \approx 0.16$, and therefore $2\pi \approx 6.25$ — the round stand-ins engineers keep for head arithmetic and site sanity checks. The L and C values are chosen so that $LC$ and $L/C$ are both perfect squares, which means every root comes out whole and every line lands on a clean number.

One tank, one long problem, and every answer feeds the next: the resonant frequency, then the coil's reactance at it, then the capacitor's reactance as a cross-check — they must agree, and if they do not, one of your first two lines is wrong — then the bandwidth the sheet's Q allows. Write each line down as you go; one early slip rolls all the way to the verdict.

And note what the last line actually asks. It does not want another number; it wants a DECISION about whether this tank may be installed, the way a real bench check does. The arithmetic is only there to earn you the right to make it. 5★ under par here is the chapter crown. Clock in.