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How many five-digit numbers of the form XXYXX is/are divisible by 33?
1
3
5
Infinite
33 = 11 x 3 Number x * y * x Divisible by 11 = (x + y + x) - (x + x) = y Hence, y being a single digit number must be divisible by 11 or else be zero
.For divisibility by 3, number must be divisible by 3 x + x + 0 + x + x = 4x For 3,6 &9, we will get ‘4x’ as multiple of 3 Hence, number can be one of below three: 33033, 66066 & 99099 Hence, answer is 3.
By: Munesh Kumari ProfileResourcesReport error
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