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AP ICET 2016 Paper

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Question : 1 of 200

Marks: +1, -0

If a and b are two distinct two digit numbers that share the same digits, what is the value of

a+b

I. The difference between the two digits in each number is 7

|a-b|=63

if the statement 1 alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Solution:

‘a’ and ‘b’ are two distinct two-digit numbers that share the same digits.

I. Given : Difference between digits = 7

⇒ (a, b) = (18, 81) (29, 92)

⇒ a, b and hence a + b can’t be uniquely determined .

∴ I alone is not sufficient.

II. Given :

|a-b|=63

Let the two digit number be xy.

\Rightarrow|(10x+y)-(10y+x)|=63

⇒ | 9 (x – y)|= 63 ⇒ | x – y| =7

The information obtained is same as from statement I.

∴ Neither I alone nor II alone nor I & II together are sufficient.

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