Following is a matrix of certain entries. The entries follow a certain trend row-wise. Choose the missing entry (?) accordingly. +-----+-----+-----+ | 7B | 10A | 3C | +-----+-----+-----+ | 3C | 9B | 6A | +-----+-----+-----+ | 10A | 13C | ? | +-----+-----+-----+
- A9B
- B3A
- C3BCorrect
- D3C
Explanation
The problem requires identifying the trend in the given matrix, both for the numbers and the letters, row-wise.
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Analyze the number pattern:
- Row 1: 7, 10, 3. Notice that 7 + 3 = 10. The middle number is the sum of the first and third numbers.
- Row 2: 3, 9, 6. Notice that 3 + 6 = 9. This pattern holds true.
- Row 3: 10, 13, ?. Applying the same pattern, 10 + X = 13. Therefore, X = 13 - 10 = 3. The missing number is 3.
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Analyze the letter pattern: Let's observe the letters in each column (position) across the rows.
- For the first entry in each row: B (Row 1), C (Row 2), A (Row 3). This shows a cyclic shift: B -> C -> A.
- For the second entry in each row: A (Row 1), B (Row 2), C (Row 3). This shows a cyclic shift: A -> B -> C.
- For the third entry in each row: C (Row 1), A (Row 2), ?. Following the same cyclic shift pattern (C -> A -> B), the missing letter is B.
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Combine the number and letter: The missing number is 3 and the missing letter is B. Therefore, the missing entry is 3B.
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Check the options: Option C is 3B, which matches our derived answer.
The final answer is C.
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