In a five digit number, the digit at ten's place is 8, digit at units place is one-fourth of the digit at ten's place, the digit at thousands place is 0, digit at hundreds place is twice that of units place and the digit at ten thousands place is thrice the digit at unit's place. What is the number ?
Correct Answer :
60482
Solution :
To find the correct five-digit number, let us determine the digit at each place value step-by-step from the given information.
Step 1: Identify the given digits.
• Ten's place digit: The problem states that the digit at the ten's place is 8.
Ten's digit = 8
• Unit's place digit: The digit at the unit's place is one-fourth of the digit at the ten's place.
Unit's digit = = 2
• Thousand's place digit: The digit at the thousand's place is given directly as 0.
Thousand's digit = 0
• Hundred's place digit: The digit at the hundred's place is twice that of the unit's place digit.
Hundred's digit = 2 × 2 = 4
• Ten Thousand's place digit: The digit at the ten thousand's place is thrice the digit at the unit's place.
Ten Thousand's digit = 3 × 2 = 6
Step 2: Combine the digits to form the five-digit number.
Arranging the digits according to their place values from left to right (Ten Thousands, Thousands, Hundreds, Tens, Units):
Ten Thousand's place = 6
Thousand's place = 0
Hundred's place = 4
Ten's place = 8
Unit's place = 2
Putting these digits together gives the number 60482.
Therefore, the correct option is 60482.
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