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In each of the following questions, a question is followed by information given in three statements. You have to study the question alongwith the statements and decide the information given in which of the statement (s) is necessary to answer the question.
What is the two digit number?
I. The difference between the two digit number and the number formed by interchanging the digits is 27.
II. The difference between the two digits is 3.
III. The digit at unit’s place is less than that at ten’s place by 3.
Let the unit's digit of the number = $$y$$ and ten's digit = $$x$$
=> 2-digit number = $$10x+y$$
I : Number formed by interchanging the digits = $$10y+x$$
=> Difference = $$10x+y-(10y+x)=27$$
=> $$9x-9y=27$$
=> $$x-y=\frac{27}{9}=3$$
Statement II and III are also similar to the first statement, thus we cannot find the 2 digit number even by using all the three statements together.
=> Ans - (E)
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