Instructions

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and 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 H 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 statements I and H together are not sufficient to answer the question.
Give answer e: if the data in both the statements I and II together are necessary to answer the question.

Question 109

What is the two digit number where the digit at the unit place is smaller ?
I. The difference between the two digits is 5.
II. The sum of the two digits is 7.

Solution

2 digit numbers where digit at unit place is smaller :

I : Difference between the two digits is 5

=> 2 digit numbers can be = 61 , 72 , 83 , 94


II : Sum of the two digits is 7

=> 2 digit numbers can be = 70 , 61 , 52 , 43


I & II : Clearly, the common number from the above two sets = 61

Thus, I & II together are sufficient.


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