UCEED 2024

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Q8.A vehicle with a wheel arrangement is shown in Figure (i). This vehicle is travelling along a circular path as shown in Figure (ii). The wheels do not change their orientation while moving along the circular path. Figure (iii) shows the location of the centres of the wheels. The distance between the centres of Wheel-3 and Wheel-2 is 170 cm, and the distance between the centres of Wheel-1 and Wheel-2 is 180 cm. The radius of the circular path followed by Wheel-2 is 525 cm. What is the radius of the path followed by Wheel-1 in cm?

Q10.A wooden block of dimension 10 cm × 20 cm × 30 cm is cut into equal sized planks. The cut planks are stacked one above the other to achieve a total height of 100 cm exactly. If the minimum number of planks are cut to achieve this height, then what is the volume of each plank in cm³?

UCEED2024Q9·nat·Medium212 attempts

Shown below is an image of a circle and six equilateral triangles. The circumference of the circle is 18.85 cm. What is the area of ONE equilateral triangle in cm²? Assume √3 = 1.732 and π = 3.14.

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