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A Simple Logic Question That Most Harvard Students Get Wrong
Business Insider ^ | 12/12/2012 | Gus Lubin

Posted on 12/13/2012 7:28:50 AM PST by SeekAndFind

Havard students get near-perfect SAT scores. These are smart, smart kids. So they shouldn't have trouble with a simple logic question, right?

Try the following puzzle:

A bat and ball cost $1.10.

The bat costs one dollar more than the ball.

How much does the ball cost?

Scroll down for the answer ...

(Excerpt) Read more at businessinsider.com ...


TOPICS: Education; Society
KEYWORDS: algebra; batandball; harvard; harvardquestion; logic
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1 posted on 12/13/2012 7:28:53 AM PST by SeekAndFind
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To: SeekAndFind

I’m inclined to say “A nickel,” meaning that the ball costs 5 cents and the bat costs a dollar and five cents, making the bat cost a dollar more than the ball.


2 posted on 12/13/2012 7:31:43 AM PST by Oberon (Big Brutha Be Watchin'.)
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To: SeekAndFind
How much does the ball cost?

Nothing, their free thru 0bamaballs :-)

3 posted on 12/13/2012 7:34:45 AM PST by PROCON (MERRY CHRISTMAS!)
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To: Oberon

I’d be inclined to say, “we don’t know” because we don’t know if there is a market for balls when not paired with bats.....


4 posted on 12/13/2012 7:34:51 AM PST by ConservativeDude
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To: SeekAndFind

Got it right! Simple algebra.


5 posted on 12/13/2012 7:35:35 AM PST by cotton1706
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To: Oberon

And you’d be correct.


6 posted on 12/13/2012 7:35:52 AM PST by reformedliberal
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To: SeekAndFind
A bat and ball cost $1.10.

Must be in a right-to-work state. In a union-thug state, they would cost $47.50.

7 posted on 12/13/2012 7:36:12 AM PST by Charles Henrickson (Bat man.)
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To: SeekAndFind

(2 * X) + 1 = 1.10


8 posted on 12/13/2012 7:36:18 AM PST by ImJustAnotherOkie (zerogottago)
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To: SeekAndFind
Violent imagery.

That's racist. Probably homophobic too.

9 posted on 12/13/2012 7:37:58 AM PST by Flycatcher (God speaks to us, through the supernal lightness of birds, in a special type of poetry.)
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To: Charles Henrickson
$47.50 plus a good beating for not paying your dues.
10 posted on 12/13/2012 7:38:19 AM PST by ImJustAnotherOkie (zerogottago)
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To: PROCON

I didn’t know Obama had balls.


11 posted on 12/13/2012 7:38:44 AM PST by meatloaf (Support Senate S 1863 & House Bill 1380 to eliminate oil slavery.)
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To: SeekAndFind
I'm not sure why they call it a logic problem- it's clearly a math problem that can be solved with the simplest algebra: 2X + 1.00 = 1.10

2X + (1.00- 1.00) = 1.10 - 1.00
2X = .10
X = .10/2
X = .05

Do they not teach math at Harvard?

12 posted on 12/13/2012 7:39:57 AM PST by Repealthe17thAmendment (Is this field required?)
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To: Flycatcher
Homoerotic, actually ... or a rape imagery.

"Bat"??? "Ball"???

Come on ... we all KNOW what they're really talking about!

Thus endeth my attempt at replicating the 'Feminist/Queer Studies" answer to the question.

13 posted on 12/13/2012 7:40:17 AM PST by ArrogantBustard (Western Civilization is Aborting, Buggering, and Contracepting itself out of existence.)
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To: SeekAndFind

Is that $1.10 before or after sales tax?


14 posted on 12/13/2012 7:42:07 AM PST by USMCPOP (Father of LCpl. Karl Linn, KIA 1/26/2005 Al Haqlaniyah, Iraq)
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To: SeekAndFind

The bat cannot possibly be a dollar more than the ball, because the value of both together after taxes is about $.40. The question is flawed.


15 posted on 12/13/2012 7:44:19 AM PST by lurk
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To: ImJustAnotherOkie

Two equations two unknowns:

X + Y = 1.1

Y = X + 1

Therefore 2X + 1 = 1.1

2x = .1

X = .05


16 posted on 12/13/2012 7:49:15 AM PST by Mikey_1962 (Obama: The Affirmative Action President.)
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To: SeekAndFind

Damn, I’m stoopid


17 posted on 12/13/2012 7:49:40 AM PST by BO Stinkss
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To: SeekAndFind

My first instinct was to say 10 cents then it struck me that would mean the bat cost 90 cents more.

Of course it is a nickle.


18 posted on 12/13/2012 7:50:57 AM PST by yarddog (One shot one miss.)
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To: SeekAndFind

The ball is 0.05
The Bat is 1.05 which is 1.00 more than 0.05
The total is 0.05 + 1.05 = 1.10


19 posted on 12/13/2012 7:52:32 AM PST by Bobalu (It is not obama we are fighting, it is the media.)
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To: SeekAndFind

Is this before or after taxes?


20 posted on 12/13/2012 7:52:45 AM PST by Bull Man
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To: SeekAndFind

It’s not right that some should have bats and balls when others cannot afford them nor should bats only be viewed as being paired with balls. It’s perfectly acceptable that you can have 2 balls without bats and it is also acceptable that you can have two bats without balls. This question is just a product of linear male thinking.


21 posted on 12/13/2012 7:53:32 AM PST by posterchild
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To: SeekAndFind

Bat and ball? Racist code words.


22 posted on 12/13/2012 7:55:18 AM PST by SkyDancer (Live your life in such a way that the Westboro church will want to picket your funeral.)
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To: Oberon

Formally,

Let X be the price of the bat and
Let Y be the price of the ball.

X+Y=1.10 -— Eq 1
X-Y=1.00 -— Eq 2

Solve the equation simultaenously:

2X=2.10 (Step 2)
X= 1.05 (step 3)

From Eq 2:

1.05-Y= 1.00 (Step 4) (substitute 1.05 for X )

Y= 1.05-1.00 = .05 (Step 5)

Therefore:

X (Price of bat) = 1.05
Y (Price of ball) = .05

(Of course, in an actual TIMED test, you have to act fast and don’t have the luxury of doing the above ).


23 posted on 12/13/2012 7:58:18 AM PST by SeekAndFind
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To: BO Stinkss

RE: Damn, I’m stoopid

No you’re not, you in fact, deserve to be a Harvard Student :)


24 posted on 12/13/2012 8:00:32 AM PST by SeekAndFind
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To: SeekAndFind

I was engaged to a little cutie who lived in Texas. We had met and spent the Summer at a mountain retreat.

Just before classes began, I drove to Texas from Florida to visit her parents. Her Father was a genius who held a large number of patents, He was a chemist for Dow Chemical.

The first morning after I awoke but she was still asleep, Her Mother made me breakfast. Her Father was fiddling with a magazine which had a bunch of brain teasers in it. He asked if I liked doing them and I said truthfully that I did.

We worked several of them and I realized the whole thing was a test to see how smart his future Son-in-Law was.

Anyway one of the questions was this: You have 5 pieces of chain. Each piece has 3 links. You decide to make them into a single long chain.

You take them to a blacksmith and he says he will charge a penny to cut a link and 2 cents to weld a link back together. What is the cheapest you can have the job done.

The answer is 9 cents. I guess I passed as he said I was the only person who had ever given the correct answer.


25 posted on 12/13/2012 8:02:37 AM PST by yarddog (One shot one miss.)
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To: Repealthe17thAmendment
I used two variables and two equations:

x+y=1.10
x-y=1.00
-----------
2x = 2.10
x=1.05
y=.05

I haven't used that algebra in 50 years, but it gives the right answer, so I guess it's correct.

26 posted on 12/13/2012 8:03:09 AM PST by giotto
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To: PROCON

ha ha ha ha ha ha ha ha.
You win.
:-)


27 posted on 12/13/2012 8:03:49 AM PST by a real Sheila (R.I.P AMERICA 1776 - 2012)
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To: yarddog

Ok, that’s cool, but what happened to the little cutie? :)


28 posted on 12/13/2012 8:04:16 AM PST by Truth2012
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To: SeekAndFind
If weeping, wailing boner had balls would both of them be worth a dime?

If obama had balls, Reggie Love would still be his manlove and would be massaging his $ 1.05 bat.

This isn't a logic problem, it's a 5th grade basic arithmetic problem and one of the easier ones to do.

29 posted on 12/13/2012 8:08:14 AM PST by USS Alaska (Nuke the terrorist savages, start today.)
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To: yarddog

RE: I guess I passed as he said I was the only person who had ever given the correct answer.

So, are you married to the Texas cutie?


30 posted on 12/13/2012 8:09:31 AM PST by SeekAndFind
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To: SeekAndFind

Here’s another logic test Harvard grads fail:

You are spending 40% more than your income. Should you

a. Increase Spending
b. Decrease Spending.
c. make your own dollar bills.


31 posted on 12/13/2012 8:09:56 AM PST by DManA
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To: DManA

100% of Harvard grads say A AND C.


32 posted on 12/13/2012 8:10:46 AM PST by DManA
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To: DManA

The Nobel Prize winning Princeton economist Professor who writes for the NY Times will object to the choices. He wants another choice:

d. Increase spending AND Make your own dollar bills


33 posted on 12/13/2012 8:12:07 AM PST by SeekAndFind
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To: giotto

I just started at the ball = 0.0 and added the values of the bat at 1.00 more.

So I just quickly walked the values up like so
0.00 + 1.00 = 1.00
0.01 + 1.01 = 1.02
0.02 + 1.02 = 1.04
0.03 + 1.03 = 1.06
0.04 + 1.04 = 1.08
0.05 + 1.05 = 1.10 - bingo!

This is the fastest way to do it in your head, doing the algebra takes more time and the test may have a time limit.

Like with IQ test questions the answer than immediately comes to mind (0.10) is pretty much always false.


34 posted on 12/13/2012 8:12:59 AM PST by Bobalu (It is not obama we are fighting, it is the media.)
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To: USS Alaska
Say, whatever really happened to Reggie Love? I miss him, and so does Barry! Is there a new man in the playroom? I tried to call Valerie, but she won't pick up.

Enquiring minds need to know. Should I ask Michelle?

A smart politician should never be caught with a dead girl or a live boy, so I guess Barry be smart.

35 posted on 12/13/2012 8:15:00 AM PST by Kenny Bunk (Say, whatever happened to Reggie Love?)
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To: Repealthe17thAmendment

Don’t need algebra. Need a brain. The answer is the remainder of the difference between the 2 (.10)divided equally (.05).


36 posted on 12/13/2012 8:19:20 AM PST by Louis Foxwell (Better the devil we can destroy than the Judas we must tolerate.)
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To: SeekAndFind; Truth2012

No, we attended different colleges and after a few months she told me she thought she was in love with someone else. I was really devastated.

Anyway I ended up married to an even more beautiful girl. Oddly I kept in touch with a mutual friend who told me the Texas girl later broke up with the boyfriend. In the meantime I got married. After she found out that I was married, she went back to the boyfriend, they got married and from what I have heard, had a happy marriage. They also have 5 children.


37 posted on 12/13/2012 8:21:30 AM PST by yarddog (One shot one miss.)
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To: yarddog

Minimum blacksmith charge is $50.


38 posted on 12/13/2012 8:23:06 AM PST by Louis Foxwell (Better the devil we can destroy than the Judas we must tolerate.)
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To: SeekAndFind

The bat costs $1.05 and the ball costs 5¢. That was easy...


39 posted on 12/13/2012 8:24:15 AM PST by Epsdude
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To: Mikey_1962

You get an A for showing your work.


40 posted on 12/13/2012 8:25:44 AM PST by ImJustAnotherOkie (zerogottago)
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To: SeekAndFind

Urkel would say “The ball represents centuries of oppression and is probably made by the criminal 1%. It should cost nothing and I am introducing a bill that everyone below the poverty line receives a new ball every week.”


41 posted on 12/13/2012 8:26:55 AM PST by Cyman
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To: SeekAndFind
0bama/Harvard math:

a=b
a² = ab
a² - b² = ab - b²
(a – b) (a + b) = b (a – b)
(a – b) (a + b) = b (a – b)
(a + b) = b
But a = b, therefore
a + a = a
2a = a

hence
2 = 1

So we can double the taxes on the rich and they come out OK. Got it?

42 posted on 12/13/2012 8:27:18 AM PST by FatherofFive (Islam is evil and must be eradicated)
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To: SkyDancer

That just depends if you were referring to the people with the Big Bats or the Small Bats.


43 posted on 12/13/2012 8:27:28 AM PST by ImJustAnotherOkie (zerogottago)
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To: DManA

Missed option D. Borrow more money


44 posted on 12/13/2012 8:29:03 AM PST by ImJustAnotherOkie (zerogottago)
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To: Truth2012

“Ok, that’s cool, but what happened to the little cutie?”

That’s precisely the answer this low information reader was looking for!


45 posted on 12/13/2012 8:30:28 AM PST by Bshaw (A nefarious deceit is upon us all!)
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To: SeekAndFind

$1.10. They’re a package deal. If you said 5 cents, you don’t understand marketing.


46 posted on 12/13/2012 8:30:58 AM PST by dangus
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To: meatloaf
I didn’t know Obama had balls.

He did, until Je$$e Jack$$on ripped them off.

47 posted on 12/13/2012 8:31:08 AM PST by Fresh Wind
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To: SeekAndFind

We can acquire the raw materials for 5 cents, but with the right synergy between public and private sectors, we can probably charge taxpayers $2,300.


48 posted on 12/13/2012 8:33:00 AM PST by dangus
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To: SeekAndFind

Where can you find sporting equipment that cheap?


49 posted on 12/13/2012 8:33:48 AM PST by bmwcyle (We have gone over the cliff and we are about to hit the bottom)
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To: SeekAndFind

Darn! Of my friends that responded, they all got it wrong! I instantly realized that one dollar is only 90 cents more than a dime, and looked for the correct answer.


50 posted on 12/13/2012 8:34:56 AM PST by Dr. Bogus Pachysandra ( Ya can't pick up a turd by the clean end!)
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