Free World's 200 Hardest Brain Teasers by Dr. Gary R. Gruber Page B

sentence: CHURCH is a religious type of BUILDING as hymn is a religious type of song.
    163. (e) cottage : house
    Put the analogy in a very specific sentence: HAMLET is a small VILLAGE as cottage is a small house.
    164. (e) strength…bored
    The key words are in spite of. Look for a contrast or opposites.
    165. (c) shun
    The key word is moreover. Not only was Wagner intolerant, but with his “strange behavior,” people would avoid (or shun) the composer.
    166. (b) feed on poisonous plants
    Try to get clues from the rest of the passage and use inferences. Since the fish and shellfish become toxic, it can be inferred that they must eat the plankton, which could only be small animals or plants. (a) swim in poisonous water is incorrect because “coastal plankton” is distinguished in the sentence from “fishes and shellfish.” (d) give off a strange glow is incorrect because nowhere in the passage does it mention that the fish give off a “strange glow.” Choices (c) change their feeding habits and (e) take strychnine into their system are incorrect because it is unlikely that fish and shellfish would eat sand deposits or glacier or rock formations—they would eat plants or smaller animals.
    167. (e) phenomena of the sea
    Pay attention to the three parts of a passage: The opening sentence leads into what is going to be discussed, the middle tells us about the passage, and the last sentence or paragraph usually summarizes or wraps up the passage. Look at the opening phrase, which introduces the passage. The fact that glowing water is mentioned indicates that the paragraph preceding the sentence probably talks about the sea.
    168. (a) 36
    Draw the figure with angle C as a right angle. Now the key strategy is to draw an extra line, BD.

    Triangle BCD is then a right triangle and is a 3-4-5 right triangle. Now you have triangle BAD as a 5-12-13 triangle. This is also a right triangle. (In high school you prove these things by using the Pythagorean theorem, but usually students are told to remember certain right triangles like the popular 3-4-5 and 5-12-13 ones.) So if triangle BAD is a right triangle (where angle ABD is a right angle), you can show the area is (5 x 12)/2 = 30. The area of triangle BCD is (3 x 4)/2 = 6, so the total area of the figure is 36.
    169. 41
    Square ( x + y ) = 7. You get x 2 + y 2 + 2 xy = 49. Now substitute xy = 4.
    You get x 2 + y 2 + 2(4) = 49. So x 2 + y 2 + 8 = 49 and so x 2 + y 2 = 41.
    170. equal to
    Draw the figure and notice that there are two right angles because the sum of the angles of the four-sided figure is 360°.

    Since there are then two right triangles, with the use of the Pythagorean theorem, we get
    a 2 + b 2 = c 2 + d 2 . Thus, we find that a 2 - c 2 = d 2 - b 2 .
    171. less than
    Compare 2 ab divided by ( a + b ) with ( a + b) divided by 2 by manipulating the inequality or equality: Multiply both sides by 2 and then by ( a + b ). Then multiply out (a + b ) x ( a + b ) and subtract the 4 ab on the left side from both sides. You will get 0 as compared with ( a - b) x ( a - b). Since a is not equal to b (given), 0 is always less than
    ( a - b) x ( a - b).
    172. (a) acclaim…reservations
    The key words are even though. This signals a contrast.
    173. (e) car : garage
    A SHIP is put in a HARBOR as a car is put in a garage. Although bird is put in a nest, the analogy presents the ideas in the reverse order, and a nest is not put in a bird.
    174. 50
    Draw lines to get additional information.
    175. (b) tranquil
    One strategy is when the word sounds “big” like effervescent, magnanimous, and scintillating, it probably will mean something big or flashy. Think of ebullient as a big-sounding word. The opposite would be tranquil.
    176. 30
    From 10 to 100, you have 12, then 15, etc., up to 99. This is 4 x 3, 5 x 3, up to 33 x 3. So there are 33 - 4 + 1 = 30 integers.
    177. 36
    The edge of the cube is 3 and there are 12 edges.
    178. (e) o

    179. 3
    In 4 hours Jim can do one