• This is an assessment test.
  • To draw maximum benefit, study the concepts for the topic concerned.
  • Kindly take the tests in this series with a pre-defined schedule.

Geometry and Mensuration: Level 2 Test 3

Congratulations - you have completed Geometry and Mensuration: Level 2 Test 3.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
The length of the three sides of a right angled triangle are (x–2) cm, x cm and (x+2) cm respectively. Then the value of x is
A
10
B
8
C
4
D
0
Question 1 Explanation: 
The longest side = x+2 cm.
Thus,
(x+2)2 = x2 + (x-2)2
x2 + 4x + 4 = x2 + x2 + 4 – 4x
x2 = 8x
=> x =8
Question 2
ABC is an isosceles triangle with AB= AC. The side BA is produced to D such that AB= AD. IfABC= 30o , then BCD  is equal to
A
45o
B
90o
C
30o
D
60o
Question 2 Explanation: 
88
CAD = 30 + 30 = 60
Now AD = AC
Thus ACD = (180 – 60)/2 = 600
BCD = 30 + 60 = 900
Question 3
If the height of a triangle is decreased 20% and its base is increased by 20% what will be the effect on its area?
A
No change
B
4% decrease
C
12% decrease
D
16% increase
Question 3 Explanation: 
Let  the height be h cm and base be b cm.
The area of the triangle = ½ hb
The new height = 0.8h and base = 1.2b
The area of new triangle = 0.8 x 1.2 = 0.96 hb
Question 4
A circular ground whose diameter is 35 metres, has a 1.4 metre broad garden around it. What is the area of the garden in square metres?
A
160.16
B
6.16
C
1122.66
D
Data inadequate
Question 4 Explanation: 
89
The radius = 17.5 m.
The area of the garden is Π(17.5 + 1.4)2 – Π17.52 = 160.01
The correct option is (a)
Question 5
2 metres broad pathway is to be constructed around a rectangular plot. The area of the plot is 96 sq. m. The cost of construction is Rs.50 per sq. metre. Then find the total cost of production?
A
Rs.4, 800
B
Rs.4, 000
C
Rs.2400
D
Data inadequate
Question 5 Explanation: 
90
No specific measurement of the length and breadth of rectangular plot has been mentioned.
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



Pin It on Pinterest