[面試] Quant Job Interview Questions & Answers ch8 Logic/Brainteasers
8–1
Ans:
360/12/4 = 7.5
8–2
Ans:
15*15*15 = 3375
8–3
Ans:
2*2*6 + 2*12 + 8*1 = 56
8–4
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8–5
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8–6
Ans:
It’s impossible.
8–7
Ans:
white in red: 500/105
red in white: 500/100
red in white
8–8
Ans:
8–9
Ans:
8–10
Ans:
8–11
Ans:
8–12
Ans:
It’s binary arithmetic.
1,2,4,8,16,32
e.g. We need 16 and 4 to balance 20.
8–13
Ans:
8–14
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8–15
Ans:
A and 7
https://www.socialpsychology.org/teach/wason.htm
8–16
8–17
Ans:
if n == 1, lion eats the meat.
if n == 2, no lion eats the meat.
if n == 3, one of the lions eats the meat because it know after it eat, n will be equal to 2.
if n == 4, don’t eat.
if n == 5, do eat.
In conclusion, if the number of the lion is even, no one eats. And, if the number of the lion is odd, one eats it.
8–18
Ans:
The level will go down.
Because the dense of the anchor is greater than the water.
8–19
Ans:
https://www.geeksforgeeks.org/puzzles/
8–20
Ans:
The first day, the person who knows the 0 people with blue eyes commit suicide.
The second days, the people who know the 1 person with blue eyes commits suicide.
…
The n-th days, the people who know the n-1 people with blue eyes commit suicide.
8–21
Ans:
1 captain and 21 normal prisoners.
Prisoners turn on the switch if the switch is off (just 1).
If both switches are on, don’t do anything.
Captain will turn off the switches and count.
When the captain count to 21, the game is over.
8–22
Ans:
8–23
Ans:
Match 9 will win the game.
9%4 = 1
So, we need to match 4i + 1.
1,5,9
8–24
Ans:
Play first and place the coin on the center.
And place the coin opposite to the B player’s placement.
8–25
Ans:
- The poplulation of Taiwan is 23,000,000.
- Estimate a third of taiwanese have cars, that is, there are 7,700,000 cars.
- Refuel about once a week, so 1,100,000 cars need to refuel per day.
- Assue gas station serve 15 cars per hour. And serve 240 cars per day(16hrs).
- So we have about 4,500 gas stations in Taiwan.
- There are about 2,500 gas stations in Taiwan.
8–26
Ans:
- The population of Taiwan is 23,000,000.
- Assume there are 1/10 of taiwanese play pianos, and piano needs to be tuned twice per year. We need 2,300,000 tunes per year.
- Every tuner tunes 4 piano per day and works for 200 days per year. That is, every tuner can tunes 800 pianos per year.
- There are about 3,000 tuners in Taiwan.
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