• This is an assessment test.
  • These tests focus on geometry and mensuration and are meant to indicate your preparation level for the subject.
  • Kindly take the tests in this series with a pre-defined schedule.

Geometry and Mensuration: Test 12

Congratulations - you have completed Geometry and Mensuration: Test 12. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1
A man standing in one corner of a square football field observes that the angle subtended by a pole in the corner just diagonally opposite to this corner is 60o. When he retires 80 m from the corner, along the same straight line, he finds the angle to be 30o. The length of the field, in m, is:
A
40
B
20√2
C
20
D
40√2
Question 1 Explanation: 
2
$ \displaystyle \begin{array}{l}From\text{ }the\text{ }given\text{ }description\text{ }if\text{ }the\text{ }diagonal\text{ }is\text{ }x\text{ }m\text{ },\\we\text{ }can\text{ }derive,\\\sqrt{3}x=\frac{x+80}{\sqrt{3}}\\\Rightarrow 3x=x+80,\\\Rightarrow 2x=80\\\Rightarrow x=40\\Thus\text{ }the\text{ }length\text{ }of\text{ }the\text{ }football\text{ }field\\=\frac{40}{\sqrt{2}}=20\sqrt{2}m\end{array}$
Question 2
Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is:
A
9
B
8
C
10
D
7
Question 2 Explanation: 
geometry-and-mensuration-test-12-qestion2-pic-1
Question 3
$ \displaystyle ~O\text{ }is\text{ }the\text{ }in\text{ }center\text{ }of\vartriangle ABC\text{ }and\angle A=\text{ }{{30}^{o}},\text{ }then\angle BOC\text{ }is$
A
100o
B
105o
C
110o
D
90o
Question 3 Explanation: 
geometry-and-mensuration-test-12-qestion4-pic-1
Question 4
$ \displaystyle \begin{array}{l}Let\text{ O }the\text{ }in-centre\text{ }of\text{ }a\text{ }triangle\text{ }ABC\text{ }and\text{ }\\D\text{ }be\text{ }a\text{ }point\text{ }on\text{ }the\text{ }side\text{ }BC\text{ }of\vartriangle ABC,\text{ }\\such\text{ }that\text{ }OD\bot BC.\text{ }If\angle BOD=\text{ }{{15}^{o}},\text{ }\\then\angle ABC=.\end{array}$
A
75o
B
45o
C
150o
D
90o
Question 4 Explanation: 
5'
$ \displaystyle \begin{array}{l}\angle OBD\text{ }=\text{ }{\scriptscriptstyle 1\!/\!{ }_2}\text{ }of\angle ABC.\\Thus\text{ }the\text{ }required\text{ }angle\text{ }=\text{ }2\times \left( 180-90-15 \right)\text{ }=\text{ }\\{{150}^{0}}.Correct\text{ }option\text{ }is\text{ }\left( c \right)\end{array}$
Question 5
If the circum radius of an equilateral triangle be 10 cm, then the measure of its in-radius is
A
5 cm
B
10 cm
C
20 cm
D
15 cm
Question 5 Explanation: 
4
The circumradius: inradius of the equilateral triangle is 2:1.
Thus the inradius = 10/2 = 5 cm.
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return

Want to explore more Arithmetic Tests?

Explore Our Arithmetic Tests

Get Posts Like This Sent to your Email
Updates for Free Live sessions and offers are sent on mail. Don't worry: we do not send too many emails..:)
Get Posts Like This Sent to your Email
Updates for Free Live sessions and offers are sent on mail. Don't worry: we do not send too many emails..:)



Join Our Newsletter
Get the latest updates from our side, including offers and free live updates, on email.
Join Our Newsletter
Leverage agile frameworks to provide a robust synopsis for high level overviews.
Join our Free TELEGRAM GROUP for exclusive content and updates
Join our Free TELEGRAM GROUP for exclusive content and updates

Pin It on Pinterest