Madir School, Madurai, five students have been assigned a unique three-digit student ID code as follows: 624, 315, 928, 736, 459.
If the digits in each of the ID codes are rearranged in descending order within the number, what will be the lowest among the new numbers formed? Give your answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0.
Answer (2)
After rearranging the digits of the student ID codes in descending order, the lowest number formed is 531. Each student's ID was assessed, and the digits were rearranged accordingly. The final comparison indicated that 531 is the smallest value among the new numbers.
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To solve this problem, we need to rearrange the digits of each student ID in descending order and then find the smallest number among the newly formed numbers.
Let's process each ID:
ID 624 :
Digits: 6, 2, 4
Rearranged in descending order: 642
ID 315 :
Digits: 3, 1, 5
Rearranged in descending order: 531
ID 928 :
Digits: 9, 2, 8
Rearranged in descending order: 982
ID 736 :
Digits: 7, 3, 6
Rearranged in descending order: 763
ID 459 :
Digits: 4, 5, 9
Rearranged in descending order: 954
After rearranging the digits of each ID in descending order, we have the following numbers: 642, 531, 982, 763, and 954.
The next step is to identify the smallest number among these rearranged numbers. Upon comparing them, 531 is the smallest.
Therefore, the lowest number among the new numbers formed is 531 .
