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Geometry and Mensuration: Level 1 Test 3
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Question 1 |
Two medians AD and BE of ΔABC intersect at G at right angles. If AD= 9 cm and BE= 6 cm, then the length of BD, in cm, is
10 | |
6 | |
5 | |
3 |
Question 1 Explanation:
$ \begin{array}{l}The\,\,centroid\,\,divides\,\,the\,\,median\,\,in\,\,the\,\,ratio\,\,2:1.\\Thus,GD=1/3\times 9=3cm.\\BG=2/3\times 6cm=4cm.\\Thus\,\,BD=\sqrt{({{3}^{2}}+{{4}^{2}})}=5\\Correctoptionis(c)\end{array}$
Question 2 |
The length of rectangular plot is thrice its breadth. If the area of the rectangular plot is 6075 sq. metres, what is its length?
145 metres | |
130 metres | |
75 metres | |
None |
Question 2 Explanation:
Let the length be 3x m and thus the breadth = x m.
3x2=6075
=> x= 45 m.
Thus length = 45X3 = 135 m
3x2=6075
=> x= 45 m.
Thus length = 45X3 = 135 m
Question 3 |
In ΔABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD= 5 cm, BC= 7.5 cm, then AB: AC is
2: 3 | |
1: 2 | |
4: 5 | |
3: 5 |
Question 3 Explanation:
$ \displaystyle \begin{array}{l}We\text{ }know\text{ }that\text{ }if\text{ }in\text{ }a\text{ }triangle\text{ }ABC,\text{ }AD\text{ }is\text{ }the\text{ }internal\text{ }bisector,\\\frac{AB}{AC}=\frac{BD}{DC}=\frac{5}{7.5-5}=1:1.15=2:3\end{array}$
Question 4 |
A wall 3m × 2.7m × 0.2m of concrete weight 320 kg per cubic meter. What will be the total weight of the wall in kg.?
5184.0 | |
51.84 | |
518.4 | |
51840. |
Question 4 Explanation:
Volume of the wall = 3 x 2.7 x 0.2 = 1.62 cu m.
Total weight = 320 X 1.62 = 518.4 Kg.
Total weight = 320 X 1.62 = 518.4 Kg.
Question 5 |
If the circumcentre of a triangle lies outside it, then the triangle is
Equilateral | |
Acute angled | |
Right angled | |
Obtuse angled |
Question 5 Explanation:
If the circumcentre is outside the triangle, the triangle must be obtuse.
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There are 5 questions to complete.
List |
for q no.3 the correct ans is 2:1, which is not given in the option
by the way 7.5-5=2.5 not 1.5 which is written in ur solution
Thanks a lot. Correcting the typo.