number where the first digit is one-third the second, the third is the sum of the first and second, and the last is three times the second.
145. A boy and a girl are sitting on a bench. “I’m a girl,” says the child with brown hair. “I’m a boy,” says the child with blond hair. If at least one of them is lying, which one is lying, or are they both lying?
146. You have twelve balls that are identical in all ways, except one ball is heavier than the rest. With a balance scale, how could you determine in three weighings which is the heavy ball?
147. If you add the age of a man to the age of his wife, the result is 91. He is now twice as old as she was when he was as old as she is now. How old is the man and how old is his wife?
148. Suppose you have fifty American coins with at least one quarter, totaling exactly $1.00. If you drop a coin at random, what is the probability that it is a penny?
149. Bill bought four times as many apples as Harry, and this amount happened to be three times as many as Martin bought. If Bill, Harry, and Martin purchased a total of less than 190 apples, what is the greatest number of apples that Bill could have purchased?
(a) 168
(b) 120
(c) 119
(d) 117
(e) 108
(f) 90
150. Put the numbers 1 through 9 in the circles below so that the numbers in four circles on each side add up to 17. Note: You can’t use a number more than once.
151. Using six straight lines without retracing, connect all sixteen circles.
152. Suppose there are two buckets, one that contains a gallon of water and the other that contains a gallon of alcohol. A cup of alcohol from the second bucket is poured into the bucket of water. A cup of the resulting mixture is then poured back into the bucket of alcohol. Which is now true?
(a) There is more water in the alcohol than alcohol in the water.
(b) There is more alcohol in the water than water in the alcohol.
(c) There is the same amount of water in the alcohol as alcohol in the water.
153. A figure is divided into two squares by drawing one straight line. The original figure could have been a/an:
(a) nonrectangular trapezoid
(b) triangle
(c) square
(d) circle
(e) octagon
154. What is the next letter in the following series: s t n o j k g h ?
(a) g
(b) c
(c) d
(d) e
(e) f
155. A bus can hold x people. It is half full, and y people now get off. How many people could now get on the bus?
156. Unscramble the words to make a phrase about the movies:
SGITHL, AEMRAC, CTONIA
157. If I have 3 dimes, 3 nickels and 3 quarters, how many ways can I make change for $1.00?
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5
158. Three friends eat breakfast at a restaurant. They estimate that the bill should come to $30. They split the bill 3 ways and pay $10 each. When the bill comes, it is $25. Since this is not divisible by 3, they each take $1 back, and a $2 tip is left. Since each paid $9 and $9 x 3 = $27, plus $2 for the tip, where did the extra dollar go?
159. What is the least whole number greater than 95,555 where four of the digits of the number are the same?
160. What English word contains all the vowels, in alphabetical order?
161. How many states are there in the United States where the first letter of the capital city is the same as the first letter of the state?
162. BUILDING : CHURCH ::
(a) dance : ballet
(b) poetry : sonnet
(c) museum : relics
(d) song : hymn
(e) morality : ethics
163. HAMLET : VILLAGE ::
(a) street : sidewalk
(b) highway : car
(c) building : skyscraper
(d) photograph : portrait
(e) cottage : house
164. Fill in the blanks:
In spite of the________of her presentation, many people were
________with the speaker’s concepts and ideas.
(a) interest…enthralled
(b) power…taken
(c) intensity…shocked
(d) greatness…gratified
(e) strength…bored
165. Fill in the blank:
Richard Wagner was frequently intolerant; moreover, his strange behavior caused most of his acquaintances to________ the composer