Quantitative Reasoning II

The total amount of time university students in the United States spend sleeping, grooming, eating and drinking, and traveling is about:

1/2 of the total time.

A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of Jo winning a free lunch?

1/20

A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?

1/64

A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 0.9, $50 0.1. Over many weeks, what is a worker's expected weekly bonus?

10x0.9+50x0.1=$14

What percentage of people partake in physical activity and abstain from smoking, but do not eat fruit and vegetables?

14%

If A2 is changed from 5 to 8, what value will appear in C3 if C3 contains the formula =A2*2?

16

What are m and b in the linear equation, using the common meanings of m and b? 1 + 4x + 6 - x = y

m is 3, b is 7

A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost y as a function of the hours x?

y= 2x for x of 4 or less / y= 8 + 3 (x-4) for x of 5 or more.

The figure shows estimated medical costs versus what a user actually pays for three health insurance plans with different deductibles. For which plan does the user pay the least for estimated medical costs of $4,000?

$1,000 deductible plan.

Given a function described as the table below, what is y when x is 2?

1

About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?

1 in 12

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?

1/(30x30x30)=1/27000=0.00003 or 0.003%

Based on the grouped bar chart below, in which year did the largest gap between men and women exist in the U.S. workforce?

1970

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

2%

Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600

2000

What is the value of cell C2?

24

What is the average? 3 4 5 8

5

To draw a graph for y = 2x + 5, a person can draw a point at x of 0 and y of ___, a second point by going over 1 and up ___, and then draw a line through the points.

5, 2

Given a function described as the graph below, what is y when x is 3?

6

Given a function described as equation y = 3x + 4, what is y when x is 1, 2, and 3?

7, 10, 13

What is the median of these figure skating ratings? 6.0 6.0 7.0 7.0 7.0 8.0 9.0

7.0

Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32 What is f when c is 30?

86

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

90

What formula should be entered in A3 to compute A1 divided by C3?

=A1 / C3

The formula in cell B1 is =A$2. Autofill is used by dragging B1's autofill box across to C1, D1, and E1. What formulas will appear in C1, D1, and E1, respectively?

=B$2, C$2, D$2

Based on the vertical bar chart below, in which of the following months were approximately 10% of professional European soccer players born?

April

In any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?

Every 5 years

Given: If A AND B, then C. Given: The if-then statement's reverse is also correct. Given A is false, B is false. What is C?

False

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel's sibling, then Mel is Bo's sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Forward and reverse / Forward-only.

Indicate the most appropriate if-then statement that the English sentence represents: People 25 years or older do not pay an additional car rental fee.

If a person is 25 years old or older, then the person does not pay an additional car rental fee.

Using everyday knowledge, which of the following statements is an if-then statement whose reverse is also correct?

If the light bulb was recently on, then the light bulb is hot.

Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? (Note: This question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation). Set A: 1 2 3 23 24 25 Set B: 8 10 12 14 16 18

Larger

Given the true/false statements are true (facts), select the best logical induction made from those statements: Mo likes oranges. Jai likes oranges. Ben likes oranges.

People like oranges.

Cells B1, C1, and D1 contain the values Seat1Row1, Seat1Row2, and Seat1Row3. If cells B1, C1, and D1 were selected, and autofill used to fill E1, F1, and G1, what would be the autofilled values?

Seat 1 Row 4, Seat 1 Row 5, Seat 1 Row 6.

The rules for a soccer player receiving a yellow card are as follows: IF a player delays-restart OR (dissents-by-word OR dissents-by-action) OR ((enters OR re-enters OR leaves) AND NOT (had-permission)) OR ((corner-kick OR free-kick OR throw-in) AND fails-respect-distance) OR commits-persistence-offences THEN the player should receive a yellow card A player leaves the field with permission. Later, the player re-enters the field without permission. The player:

Should receive a yellow card.

The figure below shows total costs for three gym memberships. Which is the most accurate statement?

Standard is cheaper for a duration between 5-10 months; other plans are cheaper for shorter or longer durations.

The figure below shows costs for a current home mortgage versus a refinanced home mortgage. Refinancing has initial costs, but results in a lower monthly payment. Which best describes the lines?

The orange line is for refinancing, which starts costlier but eventually is cheaper.

Based on the line graph shown, how did Google's stock price perform between September 2015 and December 2015?

The stock price increased.