PCAT-SECTION3 Real Exam Questions
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The three most commonly used temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K).
They are based on the freezing point and boiling point of water as shown below.
The formula for temperature conversion between the Fahrenheit and Celsius scales is
What is the linear equation relating temperature in Fahrenheit to temperature in Kelvin?
Correct answer: D
A bag of Skittles® contains 10 red, 9 yellow, 8 orange, 6 green, and 4 blue colored candies.
What is the probability of randomly choosing an orange-colored candy from the bag?
Correct answer: A
The probability of selecting a single orange-colored candy from a bag of Skittles® requires 8 successful outcomes out of 37 possible outcomes. So the probability of selecting a single orange-colored candy is: p= 8/37
Evaluate the following definite integral:
Correct answer: A
Evaluate the following derivative:
Correct answer: C
What is the probability that two cards drawn from a deck of cards are of a black suit (e.g.
, either clubs or spades) if the first card drawn is replaced before the second card is drawn?
Correct answer: B
Because the two drawings are made from a complete deck of cards, the two events are independent of one another. You first need to determine the probability of drawing a card of twosuits from a deck of cards.
Out of a total of 52 cards, there are 13 cards of any suit and 26 cards of a black suit. The probability of drawing a card of a black suit, P(A), is 26/52. Because the first card is replaced before the second drawing, the probability of drawing a card of the same suit, P(B), is also 26/52. Thus, the probability of drawing two cards of the same suit is
What is the slope of a line described by 3x + 2y 12 = 0?
Correct answer: B
The slope can be identified by adapting the equation to the formal equation of a line or y=mx+bor
Upon rolling a pair of dice, what is the probability that the sum of the two numbers on the dice is either 7 or 12?
Correct answer: D
The three most commonly used temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K).
They are based on the freezing point and boiling point of water as shown below.
The formula for temperature conversion between the Fahrenheit and Celsius scales is
What is the slope of the conversion formula relating temperature in Fahrenheit to temperature in Celsius?
Correct answer: A
When the equation is
Adapted to the equation of a line, it can readily be seen that the slopeis.However, because the equation has physical significance, it is important that the units associated with the slope are clearly indicated.
Because the slope is the ratio.
Solve for x: x3 64x = 0
Correct answer: A
In order to solve the equationx3 64x= 0 forx, you can apply factor analysis and solve for x in each term:
Correct answer: C