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We all know that the hour hand and the minute hand on a clock travel at diff speeds. However, there r certain occasions when they r exactly opposite each other. Can u give a simple formula for calculating the times of these occasions?

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If n(n + 1) generates a palindrome with even numbered Digits, then either n or n + 1 is always divisible by 11. In fact, any Palindrome with an even number of digits is always and without exception Divisible by 11. Why so?