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Before I can open my bank locker. I must remember the combination. Two of the numbers of the three-term sequence (-,-,-) are 17 and 24, but I have forgotten the third as well as the order of the numbers. The possibilities for the third number are any number between 1 and 40 (both inclusive). Assuming each trial takes 10 sec. then (for example one of the possible password is 17245)

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Maximum possible time taken to open the locker is 39 mins

Total possible password combination is 234

Maximum possible time taken to open the locker is 40 mins

Total possible password combination is 240

answer is B, D.

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Detailed Solution

Total possible password combinations are $38 (3!) + 2 (3! / 2!) = 39 (3!) = 234$
Maximum time taken $= 234 (10) s e c = 234 (1 / 6) m i n = 39 m i n$

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