self Maths Puzzle

Let [x] denote the greatest integer less than or equal to x. Let x and y satisfy the simultaneous equations

y = 2[x] + 2

y = 3[x - 2] + 2.

If x is not an integer, then x + y is

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self Other Question

Use only 4 lines of partition, divid the 5cmX7cm fileld into 11 parts. The circular arcs PR and QR have Q and P as centers respectively. As shown in the figure, the circle is tangent to the arcs PR and QR as well as the line segment PQ. If the circumference of the circle is 36, then the length of arc QR is