**Directions:** Read the following information carefully and answer the questions that follow. There is a matrix that contains four rows (I, II, III, and IV) from top to bottom and four columns (I, II, III, and IV) from left to right. Words will be formed when we read left to right in a row and top to bottom in a column. **Conditions:** I. No letter is repeated in any row or column. II. If a letter appears in a particular row or column, it should not appear again in that row or column. III. Each row must form a meaningful English word of four letters. IV. Alphabets are coded as A = 1, B = 2, C = 3, ..., Z = 26. V. The sum of the positional values of the letters in any row or column must be an even number. VI. Some letters are given at specific positions in the matrix. Row I, Column II contains 'A'. Row II, Column IV contains 'E'. Row III, Column IV contains 'D'. Row IV, Column I contains 'M'. What is the difference between the sum of positional values of Row III and Column II?

### Concept & Logic This is an advanced matrix arrangement puzzle. By using the words provided in the options of a related question (BATS, LINE, CORD, MELT), we can map out the entire matrix. Once the matrix is filled, we simply calculate the sum of the specified row and column and find their difference. ### Step-by-Step Solution * **Matrix Reconstruction:** As deduced from the constraints and provided word options: * Row I: **B A T S** (matches given 'A' in Col II) * Row II: **L I N E** (matches given 'E' in Col IV) * Row III: **C O R D** (matches given 'D' in Col IV) * Row IV: **M E L T** (matches given 'M' in Col I) * **Calculate Sum of Row III:** * Row III is CORD. * Positional values: C=3, O=15, R=18, D=4. * Sum = $3 + 15 + 18 + 4 = 40$. * **Calculate Sum of Column II:** * Column II consists of the second letters of each row: A, I, O, E. * Positional values: A=1, I=9, O=15, E=5. * Sum = $1 + 9 + 15 + 5 = 30$. * **Find the Difference:** * Difference = $|40 - 30| = 10$. ### Exam Strategy & Shortcut Once you have confidently deduced the matrix, map out the letters required for the specific calculation quickly. You don't need to verify the sum of the entire matrix during the exam if you are certain of the words used; just focus strictly on Row III and Column II to save time. ### Common Pitfall A common error is a simple arithmetic mistake when adding alphabetical positional values. Always double-check values like O=15 and R=18, as misremembering a single letter's rank will lead to an incorrect difference. ### Final Answer Therefore, the correct answer is **10**.