Permutations and combinations - Quantitative Aptitude (MCQ) questions for Q. 20645

Q.  A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds?
- Published on 07 Jul 17

a. 45.23 minutes
b. 36.45 minutes
c. 60.34 minutes
d. 90.15 minutes
e. 50.9 minutes

ANSWER: 36.45 minutes
 
Maximum number of trials required = 9 * 9 * 9 = 729. Since for each combination trial, 3 seconds are required to open the briefcase is given as 3 * 729 = 2187 seconds = 36.45 minutes.

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