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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Which is the smaller of the two numbers?
I. The difference between these two numbers is one-third of the largest number.
II. The sum of these two numbers is 30.
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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.
- By combining I and 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 p and q be the two numbers .
According to question ,
| From statement I. p - q = | 1 | p , ⇒ 2p - 3q = 0 ..........( 1 ) | 3 |
From statement II. p + q = 30 ...........( 2 )
On solving equations ( 1 ) and ( 2 ) , we get p = 18 and q = 12.
Hence , the smaller number is 12 .So , correct answer is option E .
