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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Mensuration PYQ

MAH CET MCA PYQ
A pendulum swings through an angle of $30^\circ$ and describes an arc of $17.6\ \text{cm}$ in length. Find the length of the pendulum.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Arc length $l = r\theta$. Here $\theta = 30^\circ = \dfrac{\pi}{6}\ \text{radians}$ and $l = 17.6$. So, $r = \dfrac{l}{\theta} = \dfrac{17.6}{\pi/6} = \dfrac{17.6 \times 6}{3.14} \approx 33.6\ \text{cm}$.
MAH CET MCA PYQ
Two cubes each of volume $64\ \text{cm}^3$ are joined end to end. Find the surface area of the resulting cuboid.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Each cube side $a = \sqrt[3]{64} = 4\ \text{cm}$. When joined end to end, dimensions of cuboid $= 8 \times 4 \times 4$. Surface area $= 2(lb + bh + hl) = 2(8\times4 + 4\times4 + 4\times8) = 2(32 + 16 + 32) = 160\ \text{cm}^2$.
MAH CET MCA PYQ
A circular wire of radius $7.5\ \text{cm}$ is cut and bent to lie along the circumference of a hoop of radius $120\ \text{cm}$. Find (in degrees) the angle subtended at the hoop’s centre.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Arc length $s = 2\pi(7.5)=15\pi$. On hoop of radius $120$, $\theta = \dfrac{s}{r} = \dfrac{15\pi}{120}=\dfrac{\pi}{8}=22^\circ 30'$.
MAH CET MCA PYQ
cet mah mca 2025 question pyq
The area of the equilateral triangle is 49√3 cm². Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles. (Take √3 =1.73)





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

MAH CET MCA PYQ
cet mah 2025 mensuration question
Two circles touch externally. The sum of their areas is 130$\pi$ sq.cm and the distance between their centres is 14 cm. Find the radii of the circles.






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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

MAH CET MCA PYQ
Calculate the area other than the area common between two quadrants of circles of radius 16 cm each, which is shown as the shaded region in the figure given.
cet mah mca 2025 mensuration question





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

MAH CET MCA PYQ
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

MAH CET MCA PYQ
The curved surface area of a glass having radii 3cm and 4cm respectively and slant height 10cm is





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution

MAH CET MCA PYQ
A cylinder of radius 12cm contains water to a depth of 20cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75cm. The radius of the ball is





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution


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