Cognitive Reflection Test MCQ — Questions and Answers
Question 1: The entire cost of a bat and a ball was $1.10. More than $1 is spent on the bat than the ball. What is the price of the ball?
- 3 Cents
- 8 Cents
- 10 Cents
- 5 Cents (Correct answer)
Correct answer: 5 Cents
This is a classic riddle designed to test cognitive reflection. If the bat cost $1.00 more than the ball, and the total is $1.10, a common incorrect answer is 10 cents for the ball. However, if the ball is 5 cents, then the bat would be $1.05 ($1.00 more than 5 cents), and their sum is $1.05 + $0.05 = $1.10.
Question 2: How long would it take 100 machines to produce 100 widgets if it takes 5 machines 5 minutes to produce 5 widgets?
- 5 Minutes (Correct answer)
- 20 Minutes
- 10 Minutes
- 15 Minutes
Correct answer: 5 Minutes
This question tests the understanding of parallel processing. If 5 machines can produce 5 widgets in 5 minutes, it implies that each machine produces one widget in 5 minutes (assuming they work independently and simultaneously). Therefore, if 100 machines are working, each machine will still take 5 minutes to produce its individual widget, resulting in 100 widgets being produced in 5 minutes.
Question 3: There is an area of lily pads in a lake. The patch doubles in size every day. How long would it take the patch to cover half of the lake if it takes 48 days to cover the whole lake?
- 36 Days
- 24 Days
- 28 Days
- 47 Days (Correct answer)
Correct answer: 47 Days
Since the patch of lily pads doubles in size every day, it means that on any given day, it was half the size it will be the next day. If it takes 48 days to cover the whole lake, then on the day before it covered the whole lake (day 47), it must have covered exactly half of the lake. This is a common cognitive reflection test question that often leads to an intuitive but incorrect answer of 24 days.
Question 4: There are twenty-four kids in a classroom. The principal puts in an order for eight pizzas for a pizza celebration on the last day of classes. 12 slices are sliced from each pizza. If the pizza is divided equally among the children, how many slices will each receive?
- 2 Slices
- 6 Slices
- 4 Slices (Correct answer)
- 3 Slices
Correct answer: 4 Slices
First, calculate the total number of pizza slices available. With 8 pizzas and 12 slices per pizza, there are 8 * 12 = 96 slices in total. Then, divide the total slices by the number of children: 96 slices / 24 children = 4 slices per child.
Question 5: There are 2,300 applicants aiming for IT jobs at a software company. Over the next two months, 15% of the candidates, according to the firm, will be hired. How many applicants will be given the job?
- 435 Applicants
- 140 Applicants
- 550 Applicants
- 345 Applicants (Correct answer)
Correct answer: 345 Applicants
To find out how many applicants will be hired, calculate 15% of the total number of applicants. This is done by multiplying 2,300 by 0.15 (which is 15% expressed as a decimal). So, 2,300 * 0.15 = 345 applicants.
Question 6: What is the total distance Danny will cover in three hours at 60 miles per hour?
- 180 Miles (Correct answer)
- 60 Miles
- 210 Miles
- 120 Miles
Correct answer: 180 Miles
To calculate the total distance, multiply the speed by the time traveled. Danny travels at 60 miles per hour for 3 hours. Therefore, the total distance covered is 60 miles/hour * 3 hours = 180 miles.
Question 7: It is the responsibility of two coworkers to shop for an office celebration in honor of their boss's birthday. Using the above receipts, they visit three separate markets in search of their supplies: Market 1 = $45.64, Market 2 = $72.20, and Market 3 = $46.16. To ensure that each employee pays the same amount, the colleagues will tally the receipts from the three markets and divide the sum four ways. How much does each coworker pay?
- $41.00 (Correct answer)
- $36.00
- $46.00
- $53.00
Correct answer: $41.00
First, sum the costs from all three markets: $45.64 + $72.20 + $46.16 = $164.00. The problem states the sum will be divided four ways, implying there are four people contributing to the cost, not just the two coworkers. Therefore, divide the total cost by 4: $164.00 / 4 = $41.00 per person.
Question 8: How much will the entire order be if a receptionist for an attorney's office orders forty boxes of legal pads, which cost $10.00 each box, thirty boxes of file folders, which cost $5.75 per box, and fifty-five reams of paper that cost $4.50 per ream?
- $972.50
- $747.50
- $820.00 (Correct answer)
- $960.00
Correct answer: $820.00
Calculate the cost for each item category and then sum them up. Legal pads: 40 boxes * $10.00/box = $400.00. File folders: 30 boxes * $5.75/box = $172.50. Reams of paper: 55 reams * $4.50/ream = $247.50. Total cost: $400.00 + $172.50 + $247.50 = $820.00.
Question 9: How much will an employee pay annually if they work ten days a month and pay $9.00 a day for a breakfast sandwich and coffee?
- $1,080 (Correct answer)
- $984
- $1,260
- $999
Correct answer: $1,080
First, calculate the monthly cost: 10 days/month * $9.00/day = $90.00 per month. Since there are 12 months in a year, multiply the monthly cost by 12 to find the annual cost: $90.00/month * 12 months/year = $1,080.00 annually.
Question 10: How many pieces of fruit do all the students have together if ten students have one apple, two students have one orange, eight students have one banana, and five students have two strawberries?
- 25
- 30 (Correct answer)
- 35
- 20
Correct answer: 30
Calculate the total number of each type of fruit and then sum them. Apples: 10 students * 1 apple/student = 10 apples. Oranges: 2 students * 1 orange/student = 2 oranges. Bananas: 8 students * 1 banana/student = 8 bananas. Strawberries: 5 students * 2 strawberries/student = 10 strawberries. Total fruit: 10 + 2 + 8 + 10 = 30 pieces of fruit.
Question 11: Human resources informs interns that they would automatically receive a 3% wage increase after their internship is over. What will an intern's pay be after the 3% raise in salary if they currently make $4,446.00 per month throughout their internship?
- $5,576.22 per month
- $5,779.80 per month
- $4,579.38 per month (Correct answer)
- $5,576.22 per month
Correct answer: $4,579.38 per month
To calculate the new pay, first find the amount of the raise: $4,446.00 * 0.03 = $133.38. Then, add this raise to the original monthly pay: $4,446.00 + $133.38 = $4,579.38. Alternatively, you can multiply the current pay by 1.03 ($4,446.00 * 1.03 = $4,579.38).
The entire cost of a bat and a ball was $1.10.
More than $1 is spent on the bat than the ball.
What is the price of the ball?