A natural number \(n\) lies between \(100\) and \(400\), and the sum of its digits is \(10\). The probability that \(n\) is divisible by \(4\), is
Question and options
A natural number lies between and , and the sum of its digits is . The probability that is divisible by , is
Answer and explanation
Correct answer: B - \(\frac{7}{27}\)
Digit sum 10: hundreds digit 1 gives 10 numbers, 2 gives 9, 3 gives 8, total 27. Divisible by 4: 136, 172, 208, 244, 280, 316, 352, which is 7. Probability = 7/27.
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