SSC CGL Tier 1 :: QA Test 53
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SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 53

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Exercise

1 .
Two houses are collinear with the base of a tower and are at distance 3 m and 12 m from the base of the tower. The angles of elevation from these two houses of the top of the tower are complementary. What is the height of the tower?
 4 m 6 m 7.5 m 36 m
2 .
A round balloon of unit radius subtends an angle of 90° at the eye of an observer standing at a point, say A. What is the distance of the centre of the balloon from the point A?
 $1\over \sqrt 2$ $\sqrt 2$ 2 $1 \over 2$
3 .
If the area of a circle, inscribed in an equilateral triangle is 4$\pi$$cm^ 2 , then what is the area of the triangle?  12\sqrt$$cm^2$ 9$\sqrt$$cm^2 8\sqrt$$cm^2$ 18$cm^2$
4 .
The difference between the area of a square and that of an equilateral triangle on the same base is $1/over4$ $cm^ 2$ . What is the length of side of triangle?
 $(4 - \sqrt 3)^{1 \over 2}$ cm $(4 + \sqrt 3)^{1 \over 2}$ cm $(4 - \sqrt 3)^{- 1 \over 2}$ cm $(4 + \sqrt 3)^{- 1 \over 2}$ cm
5 .
If the diameter of a wire is decreased by 10%, by how much per cent (approximately) will the length be increased to keep the volume constant?
 5% 17% 20% 23%
6 .
A cone is inscribed in a hemisphere such that their bases are common. If C is the volume of the cone and H that of the hemisphere, then what is the value of C : H?
 1 : 2 2 : 3 3 : 4 4 : 5
7 .

In the given triangle, AB is parallel to PQ. AP = c, PC= b,PQ = a, AB= x. What is the value of x?
 a + $ab \over c$ a + $bc \over a$ b + $ca \over b$ a + $ac \over b$
8 .
What is the number of points in the plane of a $\Delta$ABC which are at equal distance from the vertices of the triangle?
 0 1 2 3