Circles - Geometry - General Aptitude (GA) Previous Year Questions

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2015 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2015 [Session 1]

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ________

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2

2015 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2015 [Session 1]

Consider an ant crawling along the curve \((x-2)^2 + y^2 = 4\), where \(x\) and \(y\) are in meters. The ant starts at the point \((4, 0)\) and moves counter-clockwise with a speed of 1.57 meters per second. The time taken by the ant to reach the point \((2, 2)\) is (in seconds) ______

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3

2015 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2015 [Session 2]

If a foam insulation is added to a 4 cm outer diameter pipe as shown in the figure, the critical radius of insulation (in cm) is __________

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4

2015 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2015 [Session 3]

Figure shows a wheel rotating about \(O_2\). Two points \(A\) and \(B\) located along the radius of wheel have speeds of 80 m/s and 140 m/s respectively. The distance between the points \(A\) and \(B\) is 300 mm. The diameter of the wheel (in mm) is _____________

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5

2018 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2018 [Session 2]

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

A

The circle has the largest area.

B

The square has the largest area.

C

The equilateral triangle has the largest area.

D

All the three shapes have the same area.

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6

2021 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2021 [Session 1]

In the above figure, O is the center of the circle and, M and N lie on the circle.
The area of the right triangle MON is 50 cm².
What is the area of the circle in cm²?

A

2π

B

50π

C

75π

D

100π

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7

2026 · General Aptitude (GA) · Geometry · Circles

Mechanical Engineering (ME) 2026

Consider a string P of length \( l \) that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length \( x \) they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of \( x/l \) is ________

A

\(\pi \)

B

\(\frac{\pi-1}{2\pi} \)

C

\(\frac{\pi}{2(\pi-1)} \)

D

\(\frac{\pi}{\pi-1} \)

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