sbi-associate-po-2007

Instructions

Each of the question below consists of a question and two statements numbered I and II given below it You have to decided whether the data provided in the statement are sufficient to answer the question Read both the statements and
Give answer a:if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question
Give answer b:if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question
Give answer c:if the data either in statement I alone or in statement II alone are sufficient to answer the question
Give answer d:if the data even in both the statement I and II together are not sufficient to answer the question
Give answer e:if the data in both the statement I and II together are necessary to answer the question

Question 113

The difference between the two digits of a number is 6.What is the number ?
(I)The digit at the unit place is bigger than the other digit
(II)The sum of two digits is 12.

Solution

Let digit at unit's place = y

Digit at ten's place = x

=> Number = 10x + y

Given : | x-y | = 6

I : y > x => y - x = 6

No. can be 17,28,39

Thus, I alone is not sufficient.

II : x + y = 12

case 1 : if x - y = 6

Solving the two equations, we get x = 9 & y = 3 => No. = 93

case 2 : if y - x = 6

We get, x = 3 & y = 9 => No. = 39

Thus, II alone is not sufficient.

I & II : y - x = 6 & x + y = 12

Solving, we get x = 3 & y = 9

=> number = 39

Thus, both I & II together are sufficient.


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