Quantitative Aptitude Test 22

Quantitative Aptitude

1. ABC is a circle with centre 0. P is an external point in the line AB. From P, a tangent PC has been drawn. If AB = 10 cm, BP 8 cm, then the tangent PC is equal to:

2. A tank, of capacity 1000 litres, contains a solution with equal amounts of alcohol and water. Each time 100 litres of solution is extracted, it is replenished with an equal amount of water. After 4 times, the solution contains x% alcohol and rest water. The value of x is:

3. A polygon has ‘n’ sides. If 4960 triangles can be formed by joining the vertices (or angular points) of the polygon as the vertices of triangle, then find the value of ‘n’.

4. The sum of prime numbers between 0 and 110 is:

5. ABCD is a rectangle and ABE is a triangle whose vertex E lies on CD. If AB = 5 cm and the area of the triangle is 10 sq. cm, then the perimeter of the rectangle is:

6. What is the probability of getting a score of atleast 7 while throwing a pair of dice? One dice is fair and is worked 1 to 6 while another dice is biased with 1 marked twice instead of 2.

7. Consider the following statements:

1. The bisectors of all the four, angles of a parallelogram enclose a rectangle.
2. The figure formed by joining the mid-points of the adjacent sides of a rectangle is a rhombus.
3. The figure formed by joining mid-points of the adjacent sides of a rhombus is a square.
Which of these statements are correct?

8. If in the figure given above, ÐPQR = 90°, O is the centroid of APQR, PQ = 5 cm and QR = 12 cm, then OQ is equal to:

9. A person when standing at a certain distance from the foot of tower find the elevation of top of the tower to be 60°. If he moves back 30 m and is raised upto the top level of tower, the angle of depression will be 30°. The height of tower is:

10. A polygon with ‘n’ sides has its exterior angles in A.P. The common difference being 5° and the largest exterior angle is 60°, find the value of n.

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