CTET 2 Math and Science Sep 2014 Paper

Question : 40 of 120

Marks: +1, -0

The hundreds digit of a three-digit number is 7 more than the units digit. The digits of the number are reversed, and the resulting number is subtracted from the original three – digit number. The units digit of the final number so obtained is

Validate

Solution:

Let unit digit be x
Then, hundreds digit

=x+7

Number

=100(x+7)+x

=101x+700

Now, after reverse the new number will be

=100x+x+7

=101x+7

According to question
Original number – New number

=(101x+700)-(101x+7)

=693

So, unit of final number = 3.

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