Each question below is followed by two statements I and II. You have t

1.	Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.The present age of A is 2/5 of the present age of B then what are their ages.Statement I: After 10 years, the ratio of their ages will become 4 : 7Statement II: 4 years ago, the ratio of their ages was 2 : 71.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.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.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4.If the data in both statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question.
Answer» Correct Answer - Option 3 : If the data either in statement I alone or in statement II alone is sufficient to answer the question. Calculation: Let the ages of A and B be 2x and 5x respectively. From statement I Ages of A and B after 10 years will be (2x + 10) years and (5x + 10) years respectively. Then, (2x + 10)/(5x + 10) = 4/7 ⇒ 14x + 70 = 20x + 40 ⇒ 20x – 14x = 70 – 40 ⇒ 6x = 30 ⇒ x = 5 A’s present age = 2 × 5 ⇒ 10 years B’s present age = 5 × 5 ⇒ 25 years So, the statement I alone is sufficient to answer the question. From statement II Ages of A and B 4 years ago were (2x – 4) years and (5x – 4) years respectively. Then, (2x – 4)/(5x – 4) = 2/7 ⇒ 14x – 28 = 10x – 8 ⇒ 14x – 10x = 28 – 8 ⇒ 4x = 20 ⇒ x = 5 A’s present age = 2 × 5 ⇒ 10 years B’s present age = 5 × 5 ⇒ 25 years So, the statement II alone is sufficient to answer the question. ∴ Either statement I alone or statement II alone is sufficient to answer the question.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.The present age of A is 2/5 of the present age of B then what are their ages.Statement I: After 10 years, the ratio of their ages will become 4 : 7Statement II: 4 years ago, the ratio of their ages was 2 : 71.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.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.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4.If the data in both statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question.

Answer» Correct Answer - Option 3 :

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

Calculation:

Let the ages of A and B be 2x and 5x respectively.

From statement I

Ages of A and B after 10 years will be (2x + 10) years and (5x + 10) years respectively.

Then, (2x + 10)/(5x + 10) = 4/7

⇒ 14x + 70 = 20x + 40

⇒ 20x – 14x = 70 – 40

⇒ 6x = 30

⇒ x = 5

A’s present age = 2 × 5

⇒ 10 years

B’s present age = 5 × 5

⇒ 25 years

So, the statement I alone is sufficient to answer the question.

From statement II

Ages of A and B 4 years ago were (2x – 4) years and (5x – 4) years respectively.

Then, (2x – 4)/(5x – 4) = 2/7

⇒ 14x – 28 = 10x – 8

⇒ 14x – 10x = 28 – 8

⇒ 4x = 20

⇒ x = 5

A’s present age = 2 × 5

⇒ 10 years

B’s present age = 5 × 5

⇒ 25 years

So, the statement II alone is sufficient to answer the question.

∴ Either statement I alone or statement II alone is sufficient to answer the question.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment