If the square of a two digit number is decreased by the square of the number formed by reversing the digits ,then the result is not always divisible by :
(A) 9
(B) the products of the digits
(C) the sum of the digits
(D) the difference of the digits

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Solution

21² = 441
12² = 144
441-144 = 297 is not divisible by the product of digits 2×1 = 2

75² = 5625
57² = 3249
5635-3249 = 2376 is not divisible by the product of digits 7×5 = 35

87² = 7569
78² = 6084
7569-6084 = 1485 is not divisible by the product of digits 8×7 = 56

So option B is correct answer

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