CAT 2021 Number System Question (Hard)

Question

How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?

Accepted Answer

Let s Frame the Problem Mathematically Let the three-digit number be , where , , are digits from 1 to 9 for , 0 to 9 for , . When digits are reversed, the number becomes . Given condition 100c 10b a 100a 10b c 198 Simplify 100c a 100a c 198 Bring like terms together 100c - c a - 100a 198 99c - 99a 1

CAT 2021

Quantitative

Number System

Hard

How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?

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