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Solution

✅ Correct Option: 1

Looking at the table:

61014
91521
1220?

Examining the rows, each row forms an arithmetic sequence:

Row 1: 6,10,146, 10, 14 with common difference 44

Row 2: 9,15,219, 15, 21 with common difference 66

Row 3: 12,20,?12, 20, ? with common difference 88

Following this pattern: ?=20+8=28? = 20 + 8 = 28


Examining the columns to verify:

Column 1: 6,9,126, 9, 12 with common difference 33

Column 2: 10,15,2010, 15, 20 with common difference 55

Column 3: 14,21,?14, 21, ? with common difference 77

Following this pattern: ?=21+7=28? = 21 + 7 = 28


Alternatively, observing the structure as products:

Column 1: 6=2×36 = 2 \times 3, 9=3×39 = 3 \times 3, 12=4×312 = 4 \times 3

Column 2: 10=2×510 = 2 \times 5, 15=3×515 = 3 \times 5, 20=4×520 = 4 \times 5

Column 3: 14=2×714 = 2 \times 7, 21=3×721 = 3 \times 7, ?=4×7=28? = 4 \times 7 = 28

Each column multiplies consecutive odd numbers (3,5,7)(3, 5, 7) by the row position (2,3,4)(2, 3, 4).

Therefore, the missing number is 2828.

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