Quantitative Aptitude Test 40

Quantitative Aptitude

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

6. 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 :

 
 
 
 

7. 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 :

 
 
 
 

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. 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 :

 
 
 
 

10. 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:

 
 
 
 

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