Can you pass this 3 questions quiz?

Svnla

Lifer
Nov 10, 2003
17,986
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No cheating, no Google, no help. Just your brain.

The Cognitive Reflection Test"

1. A bat and a ball cost £1.10 in total. The bat costs £1.00 more than the ball. How much does the ball cost?

2. If it takes five machines five minutes to make five widgets, how long would it take 100 machines to make 100 widgets?

3. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?











Answers
1) 5 pence (not 10)
2) 5 minutes (not 100)
3) 47 days (not 24)

In question one, the bat costs £1,00 MORE than the ball. If the ball cost 10p, it would only cost 90p more.

In question two, each machine takes five minutes to make a widget, so 100 machines will take five minutes, just as five machines do.

In question three, the patch doubles every day, so, going backwards in time, it halfs in time every day, hence the lake will be half-covered on day 47.
 
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zinfamous

No Lifer
Jul 12, 2006
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sadly, the first one baffled me for 2 minutes too long.

2 and 3 were easy
 

BxgJ

Golden Member
Jul 27, 2015
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Yes, in less than 10s, though it's because I've seen them before. I don't remember where, I think my daughter was reading something from some site and asked me those questions. They're not hard if you stop to think, and don't blurt out the 'seems obvious (because it's wrong)' answer.
 

dullard

Elite Member
May 21, 2001
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1) What is the package discount when buying the set?

2) Are there any upstream or downstream limitations? For example, can the current employees and/or current conveyor belts actually supply enough raw parts for 100 widgets in just 5 minutes?

3) Do the lily pads grow continually, or does the growth speed increase when there is more energy (such as when the sun is shining)? Also, is it exactly 48 days to be fully covered, or did the observer just notice that it was fully covered on the 48th day that the observer arrived? Also, if the lake is really long and narrow, can lily pads grow faster than the speed of light? Does the doubling of size only occur in the surface of the water, or does it also include possible vertical size increases?

3 Again) What species of water lily? I ask because a single Victoria Amazonica is 7 m^2 in surface area. If it truly doubled in size (horizontally) 48 times, then it would cover more area than the total surface area of the Earth's oceans. I'm skeptical that this lake is really that big.
 
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dullard

Elite Member
May 21, 2001
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I still don't get why the ball cost 5cents and not 10cents.
If the ball was £0.10, then the bat (which costs £1.00 more than the ball) would cost £1.10. Total would be £1.20. But the total was supposed to be £1.10.
 

Paratus

Lifer
Jun 4, 2004
17,734
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I still don't get why the ball cost 5cents and not 10cents.

This is just like the algebra questions I get to help my kids with.

So
Bat + Ball = 1.10
Ball = X
Bat = X +1

Substituting
X + X+1 = 1.10

Reduce
2X = 1.10 - 1
2X = 0.1
X= 0.05

Solve
Ball = 0.05 pounds
Bat = 1.05 pounds
 

dullard

Elite Member
May 21, 2001
26,187
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Bat + Ball = 1.10
Ball = X
Bat = X +1

Substituting
X + X+1 = 1.10
I still stick by my original question above, can you actually do this substituting part for this problem?

For example: https://www.newegg.com/Product/ComboBundleDetails.aspx?ItemList=Combo.3466726
Not enough information was given to solve any of the problems.
 

mindless1

Diamond Member
Aug 11, 2001
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Surely you guys had tests in high school that were harder than this?

dullard, it's always assumed everything else is a constant unless stated otherwise.
 

SKORPI0

Lifer
Jan 18, 2000
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Not sure why someone would not understand the word "more". ;)

1 .
5 pence ball + 105 pence bat = 110 pence.
 

dullard

Elite Member
May 21, 2001
26,187
4,853
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I happen to favor the picket fence type of Cognitive Reflection test.

You are building a picket fence with 10 panels. How many posts do you need?

I see that question answered wrong over and over and over again when fixing other people's programming bugs.