Final answer:
To find the largest odd number divisible by 5, use the digits 0, 1, 5, and 6, construct the largest odd number using the available odd digits, 51. To find the smallest number greater than 1000 divisible by 5, choose the digit 0 as the last digit to form the number 1000.
Step-by-step explanation:
(a) To find the largest odd number divisible by 5 using the digits 0, 1, 5, and 6, we start by examining the available digits. Neither 0 nor 6 is odd, so we cannot use them in the number. However, both 1 and 5 are odd. Using this information, we can construct the largest odd number divisible by 5, which is 51.
(b) To find the smallest number greater than 1000 that is divisible by 5 using the digits 0, 1, 5, and 6, we analyze the available digits. Any number divisible by 5 must end in either 0 or 5. Since we want the smallest number possible, we choose the digit 0 as the last digit. Placing this digit after the digit 1, the number formed is 1000.
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