Yes. Buy one call option with strike 10 and one call option with strike 30, and sell two call options with strike 20. Then you can work out for yourselves that this always yields a positive profit.

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Interview Question for Strategist at Goldman Sachs:

Suppose you have three call options on the market, with strikes 10, 20, and 30. Suppose the call option with strike 10 costs $12, the call option with strike 20 costs $7, and the call option with strike 30 costs $1. Does there exist an arbitrage opportunity?

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