Test Prep Test Prep Certifications OAT Questions & Answers

• Question 181:

  8 dogs must line up behind each other in single file to get a treat. How many different ways can the dogs line up?

  A. 8

  B. 16

  C. 64

  D. 320

  E. 40320

  Correct Answer: E

  This question is asking for the different ways the 8 dogs can be arranged, without repeats. This is represented by the factorial (!). Thus, 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320. Thus, the number of ways to arrange the 8 equal dogs is 40320.

• Question 182:

  Find the value of x in 3x – 3 = 93x − 7:

  A. 2.2

  B. 1

  C. 3.5

  D. 4

  E. 4.5

  Correct Answer: A

  Begin by finding a common base root. Left side is 31(x − 3); right is 32(3x − 7). The 3's cancel out on both sides, and you have: 1(x − 3) = 2(3x − 7). Simplifying gives:

  x – 3 = 6x − 14 −3 = 5x − 14 11 = 5x x = 2.2

• Question 183:

  A wall that is 9 ft × 10 ft costs $88 to paint. How much would it cost to paint a wall that is 21 ft × 30 ft?

  A. $264

  B. $350

  C. $593

  D. $616

  E. $682

  Correct Answer: D

  It will cost $88 to paint an area of 90 square feet (9 ft × 10 ft). The new wall has 630 square feet (21 ft × 30 ft). Thus, the new area is 7x bigger (630 square feet / 90 square feet = 7), and thus, 7x more expensive.

  7 × $88 = $616

• Question 184:

  Solve for x:

  (42)8x = 265

  A. 1/4

  B. 1/2

  C. 3/4

  D. 2

  E. 8/5

  Correct Answer: A

• Question 185:

  

  w = ?

  A. 5/24

  B. 15/24

  C. 1 7/8

  D. 1 15/8

  E. 8

  Correct Answer: C

  This is a simple algebraic problem. Multiply both sides by 3 to get `w' alone. This results in 15/8, which is equivalent to 1 7/8.

• Question 186:

  Robert is taking a road trip from Jacksonville to Fort Lauderdale. He drives 150 miles at 70 miles per hour and then drives another 150 miles at 50 miles per hour. What is his average speed?

  A. 40 mph

  B. 58.4 mph

  C. 63 mph

  D. 70 mph

  E. Need more information.

  Correct Answer: B

  Speed is equivalent to distance over time: Speed = (Distance / Time).

  The total distance of this trip is 150 + 150 = 300 miles

  Break down the question into 2 components, one for each speed and distance traveled.

  First 150 miles:

  Time = (Distance / Speed) = (150 / 70) = 2.14 hours

  Second 150 miles:

  Time= (Distance / Speed) = (150 / 50) = 3.0 hours

  Total time is therefore: 2.14 + 3.0 = 5.14 hours

  Thus, returning back to the Speed=(distance/time)

  Speed = (Distance / Time) = (300 miles) / (5.14 hours) = 58.4 miles per hour

• Question 187:

  A store has a series of sales. In August, all items are reduced to 50%. In September, all items are reduced an additional 30%. If an item was $140 back in July, how much would the item be in September?

  A. $49

  B. $70

  C. $35

  D. $30

  E. $77

  Correct Answer: A

  Starting out with $140, taking 50% off (or simply doing 140 × 0.5) gives us $70.

  Taking an ADDITIONAL 30% off $70, we do 70 × 0.3=21.

  70 − 21 = $49.

• Question 188:

  Juliet gets 78, 84, 98, 94 on her first 4 genetics exam. What grade must she receive on her final and fifth exam, in order to attain a 'A' in the class?

  A. 92

  B. 93

  C. 94

  D. 95

  E. 96

  Correct Answer: E

  Make this an algebra type problem as you find the averages of the exam scores to total 450. (Because 450/500 is 90% = A) 78 + 84 + 98 + 94 + x = 450

  Solving for x: 354 + x = 450 x = 96

• Question 189:

  134 is what percent of 335?

  A. 25

  B. 35

  C. 40

  D. 45

  E. 55

  Correct Answer: C

  For this (and other similar problems), it is basically asking, what percent of 335 will give 134. From the answer choices, you can already eliminate anything over 50% as 134 is clearly less than half of 335, and you can tell 134 will definitely fit into 335 less than 4 or so times, thus eliminating 25%. This leaves you with 3 answer choices.

  Begin the process of elimination by multiplying the answer choice percentages by the given 335 and pick the one that gives the provided benchmark (134).

  Answer choice (35) will give: 0.35 × 335 = 117.25. Answer choice (40) will give: 0.40 × 335 = 134

• Question 190:

  A square has an area of 36. If you doubled the length of the sides of the square, what will its new perimeter be?

  A. 24

  B. 36

  C. 48

  D. 52

  E. 72

  Correct Answer: C

  If a square has an area of 36, it's sides must be 6, as s2 = area of a square.

  Doubling the side of the square gives 12. Add all 4 sides (12 + 12 + 12 + 12) and you have a perimeter of

  48.