At what time are the hands of clock at 90o angle between 3:15 to 4:00…

M =   \(\frac{60}{11}\)(H ± 3)  = \(\frac{60}{11}\)(3 ± 3)   

So, taking +ve sign

   =    \(\frac{60}{11}\)× 6   =  \(\frac{360}{11}\)    =   32\(\frac{8}{11}\)  minutes

 So, correct option is (A).