# Practice Questions on Geometry & MensurationAptitude Questions and Answers

## Difficult Geometry & Mensuration Question - 1

 Q1. The length, breadth and height of a room are in the ratio $3:2:1$. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
 A. remains the same. B. decrease by $13.64\%$ C. decrease by $15\%$ D. decrease by $30\%$

## Difficult Geometry & Mensuration Question - 2

 Q2. In the figure given below $MN$ and $NL$ are adjacent sides of a square and the arc $MPL$ is drawn with $N$ as centre and $MN$ as radius. $P$ is a point on the arc and $PQRS$ is a square such that, $RS$, if extended, passes through $L$ while $RQ$, if extended, passes through $M$. What is the ratio of the area of a square of side $MN$ and the square $PQRS$?
 A. $1:(3-2\sqrt{2})$ B. $2:(3-2\sqrt{2})$ C. $3:(3-2\sqrt{2})$ D. $4:(3-2\sqrt{2})$

## Difficult Geometry & Mensuration Question - 3

 Q3. One of the angles of a triangle is $60^\circ$ and length of its two sides is 6 cm and 7 cm. The length of the third side of the triangle is:
 A. $\sqrt{43}$ B. $3+\sqrt{22}$ C. $\sqrt{43}$ or $3+\sqrt{22}$ D. None

## Difficult Geometry & Mensuration Question - 4

 Q4. The external length, breadth and height of a closed box are 10 cm, 9 cm and 7 cm respectively. The total inner surface area of the box is 262 sq. cm. If the walls of the box are of uniform thickness $t$ cm, then $t$ equals
 A. $1$ cm B. $\dfrac{23}{3}$ cm C. $1$ or $\dfrac{23}{3}$ cm D. None

## Difficult Geometry & Mensuration Question - 5

 Q5. $S_1$and $S_2$ are two  sets of parallel lines.  The number of lines in $S_1$ is greater than the number of $S_2$ They intersect at 12 points.  The number of parallelograms that $S_1$ and $S_2$  may form is :
 A. 12 or 6 B. 8 or 4 C. 18 D. 18 or 15
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