The hundreds digit in the largest number that is made up of the digits 3, 4, 5, 6, and 7 when arranged to form even five-digit numbers is 5.
What are even numbers?
Even numbers are those numbers that are divisible by 2.
We know that for a number to be even it must end with an even number, therefore, the number to be even it must end with 4 or 6, but if the number ends with 6 it will be a small number as 6 can take a greater place to form a big number, therefore, the number will end with four and the rest of the number will be arranged in the ascending order from the left to right.
Thus, the largest even number that can be formed with digits 3, 4, 5, 6, and 7 is 76534.
Now, as we need to find the hundreds digit in the largest of these numbers, therefore, the hundreds digit in the number 76534 is 5.
Hence, the hundreds digit in the largest number that is made up of the digits 3, 4, 5, 6, and 7 when arranged to form even five-digit numbers is 5.
Learn more about Even numbers:
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