1. 

What is the difference between the digits of a two digit number ?

I.  The sum of the digits of that number is 8.

II. One-fifth of that number is 15 less than half of 44.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option E

Explanation:

Let the tens and unit digits be X and Y respectively. Then,

I. X + Y = 8 ------ (i)

II. ( 1/2 x 44) - 1/5 ( 10X + Y ) = 15

⇒ 10X + Y = 35 ------- (ii)

On solving (i) and (ii), we get X = 3 and Y = 5.

Thus, I and II together give the answer.

∴ Correct answer is (E)