the accountant 2\nan accountant assigns double - digit codes to four different clients—frank, gardner, hunt…

the accountant 2\nan accountant assigns double - digit codes to four different clients—frank, gardner, hunt and jordan. the codes are made using the digits 1 through 8, and the accountant uses each digit only once. the following conditions must apply:\n• the code with a six in the tens place has a three in the units place.\n• hunt’s code has a higher numeric value than jordan’s code does.\n• frank’s code has the highest numeric value.\n• jordan’s code ends with a two.\n• three of the four codes are even.\n2. which one of the following could be true?\n(a) gardner’s code begins with a 4.\n(b) hunt’s code begins with an 8.\n(c) hunt’s code begins with a 1.\n(d) gardner’s code ends with a 1.\n(e) gardner’s code ends with a 4.

the accountant 2\nan accountant assigns double - digit codes to four different clients—frank, gardner, hunt and jordan. the codes are made using the digits 1 through 8, and the accountant uses each digit only once. the following conditions must apply:\n• the code with a six in the tens place has a three in the units place.\n• hunt’s code has a higher numeric value than jordan’s code does.\n• frank’s code has the highest numeric value.\n• jordan’s code ends with a two.\n• three of the four codes are even.\n2. which one of the following could be true?\n(a) gardner’s code begins with a 4.\n(b) hunt’s code begins with an 8.\n(c) hunt’s code begins with a 1.\n(d) gardner’s code ends with a 1.\n(e) gardner’s code ends with a 4.

Answer

Explanation:

Step1: Analyze given conditions

We know digits 1 - 8 are used once each for four double - digit codes. Code with 6 in tens has 3 in units. Jordan's code ends with 2. Frank's code is highest. Hunt's > Jordan's. Three codes are even.

Step2: Consider Hunt's code

Since Frank's is highest and Hunt's > Jordan's, Hunt's can't be the highest. If Hunt's code began with 8, it would be very high and might conflict with Frank's being the highest. Also, since three codes are even and Jordan's ends with 2, Hunt's code can't begin with 1 as it would be hard to satisfy the other conditions and make three even - numbered codes.

Step3: Consider Gardner's code

Gardner's code can begin with 4 without violating any of the given conditions. For example, we can arrange the other digits and codes to fit the rules. Gardner's code ending with 1 or 4 might not be possible depending on the overall arrangement to meet all conditions.

Answer:

A. Gardner's code begins with a 4.