We have 6 people: Ann, Bob, Fred, Celia, Dave, Emily and 6 professions: banker, consultant, doctor, accountant, engineer, financier. We make a 6-by-6 table and label the rows and columns: A to F could be the columns and a to f the rows, the letters being the initial letters of names and professions.
Ann is the banker, so we put a tick in row b column A. We then put crosses in all the other cells of row b and column A.
We also have to indicate the seating arrangement. It would appear that three people sit opposite three other people. It would also appear that it's a rectangular arrangement rather than a circular one: two rows of three people facing. Those sitting on the the ends will have someone sitting next to them on one side only. We can label the seats 1 to 6 so that 1, 2 and 3 from left to right form one row and 4, 5 and 6 from right to left the opposite row. A table showing who sits where is also needed. The reason for this numbering arrangement is that left and right are reversed for those sitting opposite. If, for example, Ann is on seat 1, then the consultant is on seat 6; if Ann is in seat 2 then the consultant is in seat 5. (This is like the dots on opposite faces of a die.)
Ann is mentioned twice: she sits opposite the consultant and to the left of Fred, Fred sits opposite Bob and, because Ann the banker sits next to Fred, Bob sits next to the consultant. Fred's seat position is Ann's plus 1, and Bob's is the consultant's minus 1. Dave must be the doctor, engineer or financier, so Emily may sit opposite to Dave or next to him, but not if he's the doctor. In our table there is already a cross at bB, bD and bE, so we add crosses at aD and cD, eE and fE, and cB.
The consultant must be Celia or Emily. Emily cannot be the consultant, because the consultant is opposite Ann, who is the banker, and Emily sits opposite the engineer, so Celia is the consultant. Therefore Bob must be the doctor.
So we have the arrangement so far: Celia, the consultant, sits opposite Ann, the banker, who sits next to Fred, opposite Bob, the doctor. Dave and Emily must sit opposite one another, so Dave is the engineer and Fred must be the financier. Emily is the only one without a profession, so hers must be the accountant.
There we have it: 1-Ann (banker), 2-Fred (financier), 3-Emily (accountant) facing 6-Celia (consultant), 5-Bob (doctor), 4-Dave (engineer).