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Quantitative Analyst Interview Questions


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a, b, c are integers. Such that a^2 + 2bc = 1; b^2 + 2ac=2012, find all the possibles values of c^2 + 2ab.

7 Answers

2011 is prime

More details in addition to the last post. 1) subtracting the 1st equation from the 2nd one gives: (b-a)*(b+a-2c)=2011 2) 2011 is prime, so there are only two possibilities: b-a=1, b+a-2c=2011; or b-a=2011, b+a-2c=1 3) subtracting the 1st equation from the 3rd equation gives: (c-a)(c+a-2b)=x-1 4) plugging c-a=0.5*[(b-a)-(b+a-2c)], c+a-2b=(c-a)-2(b-a) into 3) gives you x

In 2) there should be four rather than two possibilities. Both terms could be negative.

You have a deck of 52 cards, and you keep taking pairs of cards out of the deck. if a pair of cards are both red, then you win that pair; if a pair of cards are both black, then I win that pair; if a pair of cards has one red and one black, then it's discarded. If, after going through the whole deck, you have more pairs than I do, then you win $1, and if I have more pairs than you do, I win $1. What is the value of this game in the long run?

7 Answers

You have 10 mice and 1000 bottles of wine. You also have 24 hours before a party, and one of the bottles has been tainted with a slow acting poison, which takes 24 hours to kill a mouse. In the 24 hours you have remaining, how many bottles can you guarantee safe for human consumption (assume humans and mice react identically)? Assume the lethal dosage is insignificant relative to the size of the bottle.

9 Answers

derive the formula for the variance of OLS from scratch

4 Answers

100 sided die question was difficult

4 Answers

What is the theta of an option?

1 Answer

What would you do as a trading strategy?

1 Answer

What is the volatility?

1 Answer

Why did you chose npower?

1 Answer

If you bought an Equity Call Option with a Down-and-In Barrier, are you Long Skew or Short Skew? Please provide explanation as well.

1 Answer
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