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 a two-digit number?
I. The number obtained by interchanging the digits is smaller than the original number by 63.
II. Sum of the digits is 11.
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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
Correct Option: E
Suppose units place of number is occupied by q and tens place by p.
From statement I : (10p + q) − (10q + p) = 63
⇒ 9p − 9q = 63
⇒ p − q = 7 …(1)
From statement II : p + q = 11 …(2)
On solving equations (1) and (2) , we get
p = 9, q = 2
Hence, required number = 10 x 9 + 2 = 92
Basically, to answer these type of questions we need the following information :
A. Difference of units and tens digits of the two-digit number.
B. Sum of units and tens digits.
C. Comparison of the value of units and tens digits. With the help of the information in statements I and II together we get the required information.
