Question

Consider a three-digit number with the following properties:

I. If its digits in units place and tens place are interchanged, the number increases by 36;

II. If its digits in units place and hundreds place are interchanged, the number decreases by 198.

Now, suppose that the digits in tens place and hundreds place are interchanged. Then, the number

(a) increases by 180

(b) decreases by 270

(c) increases by 360

(d) decreases by 540

Answer 1

Answer is : (d) decreases by 540

Let three digits number be

100x + 10y + z.

According to problem,

∴ So, on interchanging for digit at tens place and hundred place, the value of number is decreased by 540.