Civil Service Commission Past Questions and Answers


11)

If the difference between the measures of the two smaller angles of a right triangle is 200, what is the measure, in degrees, of the smallest angle?
12)

What is the perimeter of Triangle ABC
13)

What is the area of Triangle BED in the figure below were ABCD is a triangle?

You can calculate the area of the rectangle and subtract the area of the two white right triangles, but don’t. The shaded area is a triangle whose base is 4 and whose height is 12. The area is (4)(12) = 24. The answer is (B).
14)

What is the value of PS in the triangle below?

Use the Pythagorean Theorem twice, unless you recognize the common right triangle in the figure. Since PR = 20 and QR = 16, PQR is a 3x-4x-5x right triangle with x = 4. Then PQ = 12, and PQS is a right angle triangle whose legs are 5 and 12. The hypotenuse, PS, therefore is 13. The answer is (D).
15)

Solution
Since lines l and k are parallel, the angle marked y in the given diagram and the sum of the angles marked x and 45 are equal: 

Y = x + 45 y – x = 45.the answer is (45).


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