**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'. Which letter will come in Row I, Column I?

### Concept & Logic This is an advanced matrix arrangement puzzle. The key insight is to realize that the options provided in one of the questions (specifically, the question asking which word is formed in Row III) actually list the four words that form the rows of the matrix: BATS, LINE, CORD, and MELT. By placing these words into the rows according to the given letter constraints, we can satisfy all conditions perfectly. ### Step-by-Step Solution * **Given Constraints:** * Row I, Col II = 'A' * Row II, Col IV = 'E' * Row III, Col IV = 'D' * Row IV, Col I = 'M' * **Word Deduction:** Look at the options for the word formed in Row III: BATS, LINE, CORD, MELT. Let's test if these words fit the given positions. * **Row III:** Must end in 'D'. **CORD** fits perfectly. (C=3, O=15, R=18, D=4 $\rightarrow$ Sum = 40, which is Even). * **Row I:** Must have 'A' in the second position. **BATS** fits perfectly. (B=2, A=1, T=20, S=19 $\rightarrow$ Sum = 42, Even). * **Row II:** Must end in 'E'. **LINE** fits perfectly. (L=12, I=9, N=14, E=5 $\rightarrow$ Sum = 40, Even). * **Row IV:** Must start with 'M'. **MELT** fits perfectly. (M=13, E=5, L=12, T=20 $\rightarrow$ Sum = 50, Even). * **Verify Column Sums:** * Col I: B(2) + L(12) + C(3) + M(13) = 30 (Even). * Col II: A(1) + I(9) + O(15) + E(5) = 30 (Even). * Col III: T(20) + N(14) + R(18) + L(12) = 64 (Even). * Col IV: S(19) + E(5) + D(4) + T(20) = 48 (Even). * All conditions, including unique letters per row/column and even sums, are perfectly satisfied. * The letter in Row I, Column I is the first letter of the word BATS, which is 'B'. ### Exam Strategy & Shortcut In complex matrix or word puzzles, always scan all the questions and options before solving. Examiners frequently "leak" the intended words or combinations within the distractors of subsequent questions. Identifying that BATS, LINE, CORD, and MELT precisely matched the given letter constraints turns a hard puzzle into a 30-second verification task. ### Common Pitfall A common mistake is assuming that columns must also form valid English words. The instructions say "Words will be formed when we read... top to bottom in a column", which simply describes a reading direction, while Condition III explicitly restricts the strict meaningful word requirement to *rows* only. ### Final Answer Therefore, the correct answer is **B**.