A certain integer n when divided by 5 yields a remainder of 4. Which of these cannot be an integer?
A. n/9
B. n/10
C. n/14
D. n/19
E. none of these
Explanation: বলা আছে, একটি পূর্ণসংখ্যা, অর্থাৎ \(n\) কে 5 দিয়ে ভাগ করলে তার ভাগশেষ 4 থাকে । \(n = 5x + 4\), যেখানে \(x\) একটি positive number। \(x = 1, 2, 3\) হলে \(n = 9, 14, 19\) হয়; সুতরাং answer (A), (C) এবং (D) পূর্ণসংখ্যা হতে পারে। কিন্তু \(x\) এর কোনো পূর্ণস্যাঙ্খিক মান ই \(5x+4 = 10\) কে satisfy করতে পারেনা। সুতরাং (B) হচ্ছে সঠিক উত্তর ।
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