Practice Questions on Geometry & Mensuration
Aptitude 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 \(30\%\)

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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 \(PQRS\)?

Image for Mensuration, Aptitude:2171-1

A.

\(1:(3-2\sqrt{2})\)

B.

\(2:(3-2\sqrt{2})\)

C.

\(3:(3-2\sqrt{2})\)

D.

\(4:(3-2\sqrt{2})\)

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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

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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

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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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