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Question

In a 4 digit number 2 digits are repeated, not consecutively. If the value of 5 at the hundreds place is subtracted from the value of the digit at the thousands place, the result is 6,500. Determine the number.
(More than one correct answer)


A
Seven thousand five hundred fifty-five
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B
Seven thousand five hundred seventy-five
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C
Seven thousand five hundred fifty-seven
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D
Five thousand seven hundred fifty-seven
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Solution

The correct option is B Seven thousand five hundred seventy-five
The number is a 4 digit number.


In a 4 digit number 2 digits are repeated, not consecutively.
The value of 5 at the hundreds place in the number will be 5×100=500.


This 500 is subtracted from the value of the digit at the thousands place and gives 6,500.
The value at the thousands place should be 500+6,500=7,000.


So the digit at the thousands place is 7 and our other digit is 5.
Let us form the 4 digit number in which 5 and 7 will not repeat consecutively.


The only way in which 5 and 7 will not repeat consecutively is 7,575.
The word form of 7,575 is seven thousand five hundred seventy-five.


Hence options a is the correct answer.

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