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Question 72
How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits?
Correct Answer: 6
Solution
Let 'ab' be the two digit number. Where b $$\neq$$ 0.
We will get number 'ba' after interchanging its digit.
It is given that 10a+b > 3*(10b + a)
7a > 29b
If b = 1, then a = {5, 6, 7, 8, 9}
If b = 2, then a = {9}
If b = 3, then no value of 'a' is possible. Hence, we can say that there are a total of 6 such numbers.
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