Civil Service Commission Past Questions and Answers


1)

A rectangle is twice as long as it is wide. If the width is a, what is the length of a diagonal?
2)

Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had he paid for the painting?

Jose made 25% profit, so if he bought the painting for x, he sold it for: x + 0.25x = 1.25x = 2000  ⇒x = 2000 ÷ 1.25 = 1600.
The answer is (C).
3)

In the figure below what is the value of b?

Since vertical angles have the same measure, c = d, d = a, and b = a – b a = 2b.
Therefore, c = d = a = 2b. Also, the sum of the measures of all six angles is 3600,
so a + b + c + d + a – b + d = 2a + c + 2d = 360. Replacing c, d, and a by 2b yields
10b = 360  ⇒b =36.
The answer is (B).
4)

A lacrosse team raised some money. The members used 74% of the money to buy uniform, 18% for equipment, and the remaining $216 for a team party. How much money did they raise?

SINCE 74% + 18% = 92%, THE $216 spent on the party presents the other 8 % 0f the money raised. Then: 0.08m = 216  ⇒ m = 216 ÷ 0.08 = 2700. The answer is (E).
5)

In the figure below, what is the sum of the degree measures of all of the marked angles?

Each of the 10 marked angles is an exterior angle of the pentagon. If you take one angle at each vertex, the sum of the degree measures of those five angles is 360; the sum of the degree measures of the other five also is 360: 360 + 360 = 720.
The answer is (720).


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