# Practice Questions on Geometry & MensurationAptitude Questions and Answers

## Moderate Geometry & Mensuration Question - 1

 Q1. Given five concentric squares. If the area of the circle inside the smallest square is 77 square units and the distance between the corresponding corners of consecutive squares is 1.5 units, find the difference in the areas of the outermost and innermost squares.
 A. 1254 sq units B. 1008 sq units C. 877 sq units D. 240 sq units

## Moderate Geometry & Mensuration Question - 2

 Q2. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.
 A. 104.22 cm$^3$ B. 162.08 cm$^3$ C. 427.56 cm$^3$ D. 266.11 cm$^3$

## Moderate Geometry & Mensuration Question - 3

 Q3. A wooden door wedge is in the shape of a sector of a circle of radius 10 cm with angle $24^\circ$ and constant thickness 3 cm. Find the volume of wood used in making the wedge.
 A. $62.83\text{ cm}^3$ B. $57.88\text{ cm}^3$ C. $41.22\text{ cm}^3$ D. $33.15\text{ cm}^3$

## Moderate Geometry & Mensuration Question - 4

 Q4. In the figure above, the point on segment $PQ$ that is twice as far from $P$ as from $Q$ is
 A. (3,1) B. (2,1) C. (2,-1) D. (1.5,0.5)

## Moderate Geometry & Mensuration Question - 5

 Q5. In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?
 A. 40 B. 50 C. 60 D. 80
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