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 was the ratio between the ages of P and Q four years ago?
I. The ratio between the present ages of P and Q is 3 : 4.
II. The ratio between the present ages of Q and R is 4 : 5.
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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.
- 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: D
As per the given above question ,
From statement I , The ratio present ages of P and Q = 3 : 4 .
From statement II , The ratio present ages of Q and R = 4 : 5 .
Combining the both statements , we get
Ratio of present ages of P , Q and R = 12 : 16 : 20 = 3 : 4 : 5
Let ages of P , Q and R be 3k , 4k and 5k .
4 years ago , Age of P = ( 3k - 4 )
and Age of Q = ( 4k - 4 )
4 years ago , Ratio of P and Q = ( 3k - 4 ) : ( 4k - 4 )
For solving this question, we want two equations in terms of P and Q .
