NA 
Find the exact number of minutes after $3.00 \text{pm}$ when the minute and hour hands are first at $90^{\circ}$ to each other. 
[1] $$31 \frac{2}{11}$$ 
[2] $$31 \frac{3}{11}$$ 
[3] $$32 \frac{8}{11}$$ 
[4] $$33 \frac{3}{11}$$ 
[5] None of the above 