Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?

$$ \begin{array}{|l|l|l|l|l|l|l|l|} \hline \mathrm{P} & 22 & 89 & 50 & 45 & 78 & 60 & 39 \\ \hline \mathrm{Q} & 35 & 65 & 60 & 56 & 81 & 45 & 50 \\ \hline \end{array} $$

Spheres of unit diameter are centered at ( $l, m, n$ ) where $l, m$ and $n$ take every possible integer values.

The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, $x$ is the distance to its nearest sphere and $y$ is the distance to its next nearest sphere. The value of $\frac{y}{x}$ is :

In the triangle PQR , the lengths of PT and TR are in the ratio of $3: 2$.

ST is parallel to QR. Two semi-circles are drawn with PS and PQ as diameters, as shown in the figure.

Which one of the following statements is true about the shaded area PQS?

Note: The figure shown is representative.