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Question

Which is the lowest number that should be subtracted from 153 so that the digits in the tens and ones places of the resulting number are the same?
(Hint: Look for the number nearest to 153 with the same digit in tens and ones places.)

A
7
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B
9
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C
10
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D
8
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Solution

The correct option is B 9
Say:
We have to subtract the least number from 153 that has the same digits in tens and ones places.
The nearest number that has the same digits in tens and ones places are 144 and 155.
As we need to subtract from 153, the number that we can choose here will be 144.
Let us now find the answer by subtracting these two numbers.
Step:
153=100+50+3
144=100+40+4
So, 153144=9
Hence, 9 needs to be subtracted from 153 to arrive at a number that has the same digit in tens and ones place.
So, option C is the correct answer.

Probing Q: Is there any other way to find this out?

A: We can count forward from 144 to 153 to find the answer.


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