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Bunuel
Back in 1930, Tillie had to memorize her multiplication facts from 0*0 to 12*12. The multiplication table she was given had rows and columns labeled with the factors, and the products formed the body of the table. To the nearest hundredth, what fraction of the numbers in the body of the table are odd?

(A) 0.21
(B) 0.25
(C) 0.46
(D) 0.5
(E) 0.75

Since there are 13 (0 to 12, inclusive) rows and 13 columns, there are 169 products (necessarily distinct). The product of two numbers is odd if both numbers are odd. There are 6 (i.e., 1, 3, 5, 7, 9, 11) odd numbers from 0 to 12, so there are 6 rows and 6 columns of odd numbers, creating 6 x 6 = 36 odd products. Therefore, the fraction of the products that are odd is 36/169 ≈ 0.21.

Answer: A
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Rows: 0-12= 13
Columns: 0-12= 13
Total integers in table body= 169

Odd integers in rows: 1-3-5-7-9= 6
Odd integers in Column= 6
Total odd integers in table body= 36

Fraction= 36/169= 0.21 (approx)

(40/160= 0.25, so Ans must be less than 0.21)

Ans A
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