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An unfortunate thief was caught while trying to decode the 3-digit numerical code of a lock...

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by BTGmoderatorLU » Wed Aug 05, 2020 3:43 am

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Source: e-GMAT

An unfortunate thief was caught while trying to decode a 3-digit numerical code of a lock. The police caught him while he was making the second-last possible unique attempt. How many attempts did the thief make in total?

A. 5
B. 26
C. 719
D. 999
E. 1000

The OA is D
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Wed Aug 05, 2020 3:43 am
Source: e-GMAT

An unfortunate thief was caught while trying to decode a 3-digit numerical code of a lock. The police caught him while he was making the second-last possible unique attempt. How many attempts did the thief make in total?

A. 5
B. 26
C. 719
D. 999
E. 1000

The OA is D
Solution:

The second-last attempt is the same thing as the next-to-last attempt. Since there are 10 x 10 x 10 = 1000 codes possible, including his second-last possible attempt, the thief has made a total of 999 attempts.

Answer: D

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