Instructions

Each question below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Give answer a: if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
Give answer b: if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
Give answer c: if both statements A and B together are needed to answer the question.
Give answer d: if either the statement A alone or statement B alone is sufficient to answer the question.
Give answer e: if you cannot get the answer from the statements A and B together, but need even more data.

Question 137

The ages of Pradumn and Gunit are in the ratio of 7 : 5 . What is the age of Pradumn.
A. The ages of Pradumn and Nandini are in the ratio of 3 :1.
B. After 7 years the ratio of Pradumn’s and Aviral’s ages will be 4: 3.

Solution

Let age of Pradumn = $$21x$$

=> Age of Gunit = $$15x$$

Statement A : Ratio of Pradumn and Nandini's age = 3 : 1

Since, Pradumn's age = $$21x$$

=> Nandini's age = $$7x$$

We cannot find Pradumn's exact age. Thus, this statement alone is insufficient.

Similarly, statement B alone is not sufficient.

Even if we combine both statement,the same problem arises.

Thus, both statements even together are not sufficient.


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