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UCEED 2017

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Q13.Figure 1 is an image composed of partial circles. Some cuts in the circles form the corners of triangles as shown in Figure 2. What is the total number of triangles whose three corners are formed by three circles?

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Q15.Figure 1 is formed by a black square inscribed in a white circle which in turn is inscribed in another black square of side 2 cm as shown. If a point is chosen at random inside figure 1, what is the probability that the point will be in the area shaded black?

UCEED2017Q14·nat·Hard

There are two discs, one with numbers and other with three cut-outs as shown in the figure 1 and are overlapped as shown in figure 2. For every second, the numbered disc rotates two numbers in anti-clockwise direction and the cut-out disc rotates one number in the clockwise direction. If the arrangement at zero second is as shown in figure 2, what will be the number inside the pentagonal cut-out at 5 seconds?

There are two discs, one with numbers and other with three cut-outs as shown in the figure 1 and are overlapped as shown in figure 2. For every second, the numbered disc rotates two numbers in anti-clockwise direction and the cut-out disc rotates one number in the clockwise direction. If the arrangement at zero second is as shown in figure 2, what will be the number inside the pentagonal cut-out at 5 seconds?
Keyboards off — use the numpad, just like on exam day.
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