Cognitive Reflection Test Problem Decomposition Strategies 2

Question 1

A widget and a box cost $2.20 together. The box costs $2.00 more than the widget. Decomposing this into two equations, how much does the widget cost?

Accepted Answer

$0.10

Answer

$0.20

Answer

$0.11

Answer

$0.22

Question 2

When decomposing a problem, what is the primary purpose of identifying independent sub-problems?

Accepted Answer

So they can be solved separately without affecting each other

Answer

To make the problem look harder

Answer

To increase the number of steps

Answer

To avoid using logic

Question 3

If 5 machines take 5 minutes to make 5 widgets, decomposing the rate, how long do 100 machines take to make 100 widgets?

Accepted Answer

5 minutes

Answer

100 minutes

Answer

20 minutes

Answer

1 minute

Question 4

Which step comes first in a top-down decomposition strategy?

Accepted Answer

Break the overall goal into major components

Answer

Solve the smallest detail

Answer

Combine all solutions

Answer

Test the final answer

Question 5

A lily pad patch doubles each day and covers the lake in 48 days. Decomposing the growth backward, on what day is it half covered?

Accepted Answer

Day 47

Answer

Day 24

Answer

Day 46

Answer

Day 12

Question 6

What is a key advantage of decomposing a complex problem before solving it?

Accepted Answer

It makes each piece smaller and easier to reason about

Answer

It guarantees no mistakes ever occur

Answer

It removes the need for verification

Answer

It always reduces the answer to one step

Question 7

In problem decomposition, what does 'dependency mapping' help you determine?

Accepted Answer

Which sub-problems must be solved before others

Answer

The color of the diagram

Answer

How many people to hire

Answer

The final cost only