Over the past year, many families have enjoyed coming together to test their intelligence.

However, some family members may still argue over who is smarter.

Well, we may have found the trickiest quiz yet that will really determine how smart you are.

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This IQ test consists of just three math questions and should only take a few minutes.

Originally published in 2005 as part of a research paper, Professor Shane Federick found that out of 3,000 participants, including students from Harvard and Yale University, only 17 percent managed to win three out of three. .

So without further ado, scroll down to find the questions, answers and theory gathered. by the Mirror.

### Questions:

(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? _____ cents

(2) If it takes 5 machines 5 minutes to create 5 widgets, how long would it take 100 machines to create 100 widgets? _____ minutes

(3) In a lake, there is a square of water lilies. 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? _____ days.

The article quotes Jensen, 1998, and says: â€œPeople with higher cognitive abilities (or ‘IQs’) differ from those with lower cognitive abilities in several important and unimportant ways.

“On average, they live longer, earn more, have greater working memory, faster reaction times, and are more sensitive to visual illusions.”

How do you think you got out of it?

### The most common incorrect answers:

1.10 cents

2.100 minutes

3. 24 days

Professor Frederick continued, â€œAnyone who thinks about it for a moment would agree that the difference between $ 1 and 10 cents is only 90 cents, not $ 1 as the problem states.

“In this case, detecting this error is tantamount to fixing the problem, because almost everyone who does not answer” ten cents “does, in fact, give the correct answer.”

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### The correct answers:

1.5 cents

25 minutes

3. 47 days

You can read on the full test and paper here.

### The answers explained:

If you’re as confused as we are, luckily Presh Talwalkar, from The Joy of Game Theory: An Introduction to Strategic Thinking, explains the answers on his Blog.

1. Suppose the ball costs X. Then the bat costs $ 1 more, so it’s X + 1. So we have bat + ball = X + (X + 1) = 1.1 because together, they cost $ 1.10. This means 2X + 1 = 1.1, then 2X = 0.1, so X = 0.05. This means the ball costs 5 cents and the bat costs $ 1.05

2. If it takes five machines 5 minutes to create five widgets, then it takes a machine 5 minutes to create a widget (each machine makes a widget in 5 minutes). If we have 100 machines working together, each one can create a widget in 5 minutes. So there will be 100 widgets in 5 minutes.

3. Each day the patch doubles in size. So every BACKWARDS day means the patch size decreases by half. So, on day 47, the lake is half full.