Word Knowledge

1. Wanton most nearly means:
A) Justified
B) Incomplete
C) Senseless
D) Affordable
2. Impermeable most nearly means:
A) Nonporous
B) Absorbent
C) Fragile
D) Limit
3. Intermittent most nearly means:
А) Continuous
B) Infrequent
C) Prudent
D) Sporadic
4. Malleable most nearly means:
A) Rigid
B) Pliable
C) Shapeless
D) Distinct
5. Coalesce most nearly means:
А) Diverge
B) Opposite
C) Merge
D) Parallel
6. Benign most nearly means:
А) Harmful
B) Noxious
C) Indifferent
D) Harmless
7. Dearth most nearly means:
А) Surfeit
B) Shortage
C) Moderate
D) Abundance
8. Catalyst most nearly means:
А) Stimulus
B) Extinguish
C) Retardant
D) Inhibitor
9. Adulterate most nearly means:
А) Refine
B) Enrich
C) Fortify
D) Contaminate
10. The word most opposite in meaning to candid is:
А) Honest
B) Impartial
C) Insincere
D) Cantankerous

Math Knowledge

11. If the hypotenuse of a right triangle is √10 inches and one of its legs is 1 inch, then how long is its other leg?
А) 2 inches
B) 3 inches
C) 4 inches
D) 5 inches
12. Completely factor x2 – 5x = -6
А) (x + 2)(x + 3)
B) 3(x - 2)(x - 3)
C) (x - 6)(x + 1)
D) (x - 2)(x - 3)
13. Three angles of a triangle are 3x, x + 10, and 2x - 40. How many degrees is the smallest angle in the triangle?
А) 30 degrees
B) 35 degrees
C) 40 degrees
D) 45 degrees
14. Which of the following numbers has the greatest value: 8⁄3, 2.28, 10⁄12, and .0199.
А) 8⁄3
B) 2.28
C) 10⁄12
D) .0199
15. Find the mean, median, and the range of the following: 10, 14, 21, 6, 16, and 20.
А) 14, 14, and 15
B) 14.5, 15, and 15
C) 15, 15, and 15
D) 14.5, 15, and 14
16. Simplify the expression: (3x7y5)2.
А) 9x9y7
B) 9x14y7
C) 9x92y7
D) 9x14y10
17. Solve the following system of equations: -.5x + y = -1 and 2x - 2y = 3.
А) x = -1⁄2 and y = 1
B) x = 4 and y = 2
C) x = 1 and y = -1⁄2
D) x = 1⁄2 and y = -1⁄2
18. If a circle has an area of 225π, then what is its diameter?
А) 30
B) 15
C) 40
D) 20
19. If a rectangular prism has a length of 9 inches, a width of 5 inches, and a height of 7 inches, what is its surface area?
А) 286 inches3
B) 286 inches2
C) 315 inches2
D) 315 inches3
20. Simplify the expression: 7 × (5 − 2)2 − 15 ÷ 3 × 2.
А) 5
B) 53
C) -1
D) -2
21. Write an equation of the line that passes through the point (-2 , 3) and is parallel to the line y = -x + 2.
А) y = -x + 1
B) y = x + 1
C) y = -x - 1
D) y = -2x + 1

Paragraph Comprehension

Use the following passage to answer questions 22, 23, 24, and 25.

Naval architects never claim that a ship is unsinkable, but the sinking of the passenger-and-car ferry Estonia in the Baltic surely should have never have happened. It was well designed and carefully maintained. It carried the proper number of lifeboats. It had been thoroughly inspected the day of its fatal voyage. Yet hours later, the Estonia rolled over and sank in a cold, stormy night. It went down so quickly that most of those on board, caught in their dark, flooding cabins, had no chance to save themselves: Of those who managed to scramble overboard, only 139 survived. The rest died of hypothermia before the rescuers could pluck them from the cold sea. The final death toll amounted to 912 souls. However, there were an unpleasant number of questions about why the Estonia sank and why so many survivors were men in the prime of life, while most of the dead were women, children, and the elderly.

22. Based on the passage, we can infer that:
А) the lifesaving equipment was almost certainly faulty.
B) design faults and a poorly trained crew contributed to the sinking of the Estonia.
C) naval architects claimed that the Estonia was unsinkable.
D) the Estonia sank so quickly that this tragedy was unavoidable.
23. The passage suggests that the survivors of the accident:
А) helped one another overcome the tragedy.
B) were mostly young men.
C) helped save hundreds of lives.
D) told the investigators very little about the accident.
24. When the Estonia sank:
А) there were only 139 passengers on board.
B) few of the passengers were asleep.
C) there were enough lifeboats for the number of people on board.
D) faster reaction by the crew could have increased the Estonia's chances of survival.
25. Which of the following is NOT true about the sinking of the Estonia?
А) Weather conditions had no effect on the final death toll.
B) Regular maintenance was performed on the Estonia.
C) There were 1,051 passengers aboard the Estonia.
D) The Estonia sank in the Baltic sea.

Arithmetic Reasoning

26. Rick bought three shirts for $18.00 each, two pair of socks for $4.00 a pair, and a pair of slacks for $45.00. If the sales tax rate is 8.5%, how much did he pay in total? Round your answer to the nearest cent.
А) $115.09
B) $116.10
C) $117.00
D) $116.09
27. If 1 inch represents 75 miles on a map, then how many inches will represent 690 miles?
А) 10.2 inches
B) 8.2 inches
C) 9.2 inches
D) 7.2 inches
28. Two trains starting at the same station head in opposite directions. They travel at the rates of 25 and 40 mph, respectively. If they start at the same time, how soon will they be 195 miles apart?
А) 1.5 hours
B) 2 hours
C) 2.5 hours
D) 3 hours
29. A math student scored 75, 70, 85, 90, 100 on the first five tests he took. After he took his sixth math test, his class average is now 85. What did he score on the sixth test?
А) 75
B) 80
C) 85
D) 90
30. If a bedroom is 10 feet wide by 12 feet long, then how many square yards is the room?
А) 13 1⁄3 yd2
B) 12 1⁄2 yd2
C) 120 yd2
D) 120 ft2
31. A maple desk is being sold at a 36% discount. If the sale price is $496, what was its original price?
А) $710
B) $775
C) $668
D) $825
32. If the diameter of a wagon wheel is 2 m, how much distance will the wagon have traveled when its wheel completes 100 revolutions?
А) 550 m
B) 628 m
C) 700 m
D) 625 m
33. It takes 12 hours to fill a water tank. It takes 16 hours to drain the same water tank. How long will it take to fill the tank if the drain is left open?
А) 24 hours
B) 36 hours
C) 48 hours
D) 72 hours
34. Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Kleinschmidt gave a total of 60 vaccinations that consisted of a total of 184 doses. How many polio vaccinations and how many measles vaccinations did Dr. Kleinschmidt give last year?
А) 45 polio vaccines and 15 measles vaccines
B) 40 polio vaccines and 20 measles vaccines
C) 30 polio vaccines and 30 measles vaccines
D) 32 polio vaccines and 28 measles vaccines
35. During the holiday season, a store offers successive discounts of 10% and 20% on a luxury purse. If the original price of the purse is $600, what is its final sales price?
А) $432
B) $420
C) $423
D) $402