oxbridge interview's logic questions

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emilycatelia
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i'm very curious to know what kind of logic questions oxbridge ask on the spot...can anyone give me some examples from their experience?
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llama boy
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(Original post by emilycatelia)
i'm very curious to know what kind of logic questions oxbridge ask on the spot...can anyone give me some examples from their experience?
1) I have a bunch of flowers. All of them are roses but two. All of them are tulips but two. All of them are daisies but two. How many flowers do I have?

2) A man has three cards. One is red on both sides. One is white on both sides. One is white on one side and red on the other. He places a card on the table - you can see the top side is red. He tells you that as it obviously isn't the white/white card then it is either the red/red or the white/red therefore he'll give you odds of evens on which card it is. What are the true odds for this bet?

3) I have a 5 litre jug and a 3 litre jug. How do I measure out 4 litres?

(all of these copied and pasted from my oxbridge-info profile...i probably remember some more later..)
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Adhsur
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Is the first answer three? sorry maybe I need more thought but that's what came into my head in 5seconds...

And the third is about what is left over or spilt out yes?

Can't be bothered reading second.

Too bad I wasn't asked anything interesting like that. And yet they pronounced my logic as rubbish.
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fishpaste
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I got something ridiculously straight forward.

There were 5 cards on the table, and they had various numbers and letters on. They said "Cards with vowels on have odd numbers on the back" Which card would you need to turn over to check this assumption? The answer was obvious, it was the card with vowel on, I think it was an A or something. ANyway, yes, I dithered, I thought it was a trick, I sat there saying "Ah, but do all cards with odd numbers on have vowels on the back?" etc etc, but it really was the straightforward answer he was looking for. A lesson in not overthinking I suppose.
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powerball
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4 pirates have a 100 gold and need to share it by a voting system. Pirates are A B C D. If A makes a proposal and wins.... thats how they would share the gold. If A loses the proposal he is thrown overboard and then B makes the proposal... if he loses then C e.t.c..... A himself has a vote. If the vote is a tie proposal goes through. Pirates value their lives more than gold. What proposal would A make?

Extend the idea to 5 pirates.

What would be the effect if the person chosen to do it after the first is overboard is chosen at random.

Then some crap about risk takers.
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Saintsin
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100 legs 37 heads how many cats how many birds, well my head whent blank but I soon noticed pen and paper next to me and decided to start using it, a few minutes later I had 13 cats and 24 birds.
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powerball
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(Original post by Saintsin)
100 legs 37 heads how many cats how many birds, well my head whent blank but I soon noticed pen and paper next to me and decided to start using it, a few minutes later I had 13 cats and 24 birds.
Thats more algebra isnt it?

b + c = 37 and 4c + 2b =100

not really logic... what did you apply for?
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Ralfskini
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(Original post by llama boy)
1) I have a bunch of flowers. All of them are roses but two. All of them are tulips but two. All of them are daisies but two. How many flowers do I have?

2) A man has three cards. One is red on both sides. One is white on both sides. One is white on one side and red on the other. He places a card on the table - you can see the top side is red. He tells you that as it obviously isn't the white/white card then it is either the red/red or the white/red therefore he'll give you odds of evens on which card it is. What are the true odds for this bet?

3) I have a 5 litre jug and a 3 litre jug. How do I measure out 4 litres?

(all of these copied and pasted from my oxbridge-info profile...i probably remember some more later..)


For question 3...



Fill the five litre jug, then pour the water into the three litre jug until it is full. You are then left with two litres in the five litre jug. Empty out the three litre jug and pour the two litres from the five litre jug into the three litre jug. Now fill the five litre jug again, and pour the contents of it into the three litre jug until it is full. You will be left with four litres in the five litre jug.
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theone
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Q.3 would have been better asking what amounts can you make with a 3, 5 and 7 litre jug each.
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Tifa
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Hmm, funny I didn't think of that way, I did it different.

Fill the 3 litre and pour in to the 5 litre.
Fill the 3 litre again and pour into 5 litre filling it to the top, you are left with 1 litre in the 3 litre jug.
Empty the 5 litre.
Pour 1 litre from 3 litre jug into 5 litre
Fill 3 litre again, pout into 5 litre, 1+3 = 4... voila

I think my ways a wee bit longer lol. Thing is, all these logic questions are relatively simple, I think the real challenge is to manage them under pressure in an interview - a lot harder I would think... perhaps a bit more like Bruce Willis in the bomb scene in Die Hard with a Vengeance*grin*

I wouldn't know though, I didn't get any logic questions... shame really, I wonder how I would have done.
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rah
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'1) I have a bunch of flowers. All of them are roses but two. All of them are tulips but two. All of them are daisies but two. How many flowers do I have?'

three. one of each.

'3) I have a 5 litre jug and a 3 litre jug. How do I measure out 4 litres?'

half of each-half 3= 1.5 + half 5=2.5, easy
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llama boy
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(Original post by rah)
3) I have a 5 litre jug and a 3 litre jug. How do I measure out 4 litres?'

half of each-half 3= 1.5 + half 5=2.5, easy
no, no. you can only fill them up completely.
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llama boy
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(Original post by Tifa)
Thing is, all these logic questions are relatively simple, I think the real challenge is to manage them under pressure in an interview - a lot harder I would think...
Quite.

It's horrible when you can't see the end when you're working through it...you think you're right but you're terrified you're going totally wrong in front of them.
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rah
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(Original post by llama boy)
no, no. you can only fill them up completely.
ahhh you didnt say that therefore tifa is completly right!

*retracts easy statement*
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powerball
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no ones tried the pirate question?
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hitchhiker_13
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(Original post by rah)
'1) I have a bunch of flowers. All of them are roses but two. All of them are tulips but two. All of them are daisies but two. How many flowers do I have?'

three. one of each.

'3) I have a 5 litre jug and a 3 litre jug. How do I measure out 4 litres?'

half of each-half 3= 1.5 + half 5=2.5, easy


you have no way of knowing when they are exactly half full, as presumably they are not graduated, or you could just put 4l into the 5l jug.
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Saintsin
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(Original post by powerball)
Thats more algebra isnt it?

b + c = 37 and 4c + 2b =100

not really logic... what did you apply for?
Computer Science (Cambridge), which in programming there is a lot of algebra equations, but in you equation you must find what b and c are, try that when they ask you on the spot! all I really did is backcounts, but on the paper I showed all the working out that passed through my head and they where more bothered how I worked it out rather than the answer itself.

Any way aint numbers logic or mathematics a branch of logic?

Although in my interview they asked me 5 questions on the spot to do with mathematics 1 about the true meaning of an essay that I read previously before the interview and one about orientation in 3D landscape, then they asked me the Infamous impossible to answer question to see what I could come up with, it was on the 3D orientation and apart from the calculations at the end they asked me what colour was the bear on the question(which there was no description or clue of the colour)
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Kalandraka
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the pirate one is too confusing lol. is that for a particular subject or just a general one for all applicants? id be screwed if given thta in the interview, unless i missunderstood it of course
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llama boy
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(Original post by Kalandraka)
the pirate one is too confusing lol. is that for a particular subject or just a general one for all applicants? id be screwed if given thta in the interview, unless i missunderstood it of course
I'm having a go...dunno how i could do that in an interview situation though..
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Juwel
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Try this one, I don't think it's an Oxbridge thing, I read it in a book on Fermat's Last Theorem (don't ask)...

Mr Red, Mr Green and Mr Blue are in a truel (a duel with three people). It involves guns, and a shot that hits its target kills the target.

Mr Red will hit his target a third of the time. Mr Blue will hit his target half the time. Mr Green is the deadliest, he hits the target every time.
Since Mr Red is the least inaccurate he is allowed first shot, followed by Blue (provided Blue isn't dead), then Green and round again, and the winner is the last man alive.

Question: Where does Mr Red aim his first shot?

Answer to come later.
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