Direction: 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 both the statements and Read both the statements and give answer
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What is the two-digit number where the digit at the unit’s place is smaller?
I. The difference between the digits is 5.
II. The sum of the two digits is 7.
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- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- 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
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
- Combining statement I and statement II
- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Correct Option: E
Let, the two-digit number be 10p + q (q < p)
From statement I. p − q = 5
From statement II. p + q = 7
On solving equations ( 1 ) and ( 2 ) , we get
p = 6 and q = 1
Now ,the two-digit number = 10p + q = 10 x 6 + 1 = 61
Hence, both statements together are sufficient to answer the question.
