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Is there a positive integer divisible by 2018 which only consists of the digits 3 and 0 (in base 10)?

Given the circle \(\Gamma\) with \(PQ\) is the diameter of the circle \(\Gamma\). The point \(R\) lies outside the circle \(\Gamma\) so that the \(PR\) and \(QR\) lines intersect circles ...

The figure shows a packing of three identical squares in a circle.

If we define ...

An series of SIMILAR TRIANGLE converges to point \(C\). If \(AE=16\) and \(ED=8\). What is the sum of all the vertical segments \((AE+BD+.....)\), such that the length ...

In a circle, chord \(AB\) and chord \(CD\) intersect at \(E\) such that \(AE = 4\), \(EB = 196\), \(DE = 14\), and \(\angle CEB = \cos^{-1}(-\frac{8}{17})\).

Find the radius ...

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