Quantitative Aptitude Test 40

Quantitative Aptitude

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1. From the top of a building 30m high, the top and bottom of a tower are observed to have angles of depression 30° and 45° respectively. The height of the tower is :

 
 
 
 

2. In the figure given below, PQ and RS are two common tangents to the two touching circles. If SR = 8 cm, then PQ is equal to :

 
 
 
 

3. The value of cos 20° + cos 40° +cos 60°+ ……+ cos 160° + cos 180° is:

 
 
 
 

4. In the figure given below, AE and BD are two medians ofa DABC meeting at F. The ratio of the area of DABF and the quadrilateral FDCE is:

 
 
 
 

5. Ujakar and Keshav ttempted to solve a quadratic equation. Ujakarmade a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshav made a mistake in writing down the coefficient of x. He got the roots as (3, 2).What will be the exact roots of the original quadratic equation?

 
 
 
 

6. A landmark on q river bank is observed from two points A and B on the opposite bank of the river. The lines of sight Make equal angles with the bank of the river. If AB = 2 km, then the width of the river is :

 
 
 
 

7. If tanJ = n/(n + 1) and tan f= 1/(2n + 1) then (J + f) is :

 
 
 
 

8. Consider the following statements When two straight lines intersect then:
A. Adjacent angles are complementary
B. Adjacent angles are supplementary
C. Opposite angles are equal
D. Opposite angles are supplementary
of these statements :

 
 
 
 

9. If sec2x = 5, 0 < x < p/2, then the value of (tan2x – cosec2x)/(tan2x + cosec2x ) is

 
 
 
 

10. If one of the interior angles of a regular polygon is found to be equal to3/4 times of one of the interior angles ofa regular hexagon, then the number of sides of the polygon is :

 
 
 
 

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