Each question below is followed by two statements I and II. 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 answer.

(a) |
If the statement I alone is sufficient to answer the question but the statement II alone is not sufficient. |

(b) |
If the statement II alone is sufficient to answer the question, but the statement II alone is not sufficient. |

(c) |
If both statements I and II together are needed to answer the question. |

(d) |
If either the statement I alone or statement II alone is sufficient to answer the question. |

(e) |
If you cannot get the answer from the statements I and II together but needed more data. |

Anita is twice as old as Sunita, what is the difference in their ages?

I: |
5 years hence, the ratio of their ages respectively is 9 : 5. |

II: |
10 years ago, the ratio of their ages was 3 : 1. |

Each question below is followed by two statements I and II. 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 answer.

(a) |
If the statement I alone is sufficient to answer the question but the statement II alone is not sufficient. |

(b) |
If the statement II alone is sufficient to answer the question, but the statement II alone is not sufficient. |

(c) |
If both statements I and II together are needed to answer the question. |

(d) |
If either the statement I alone or statement II alone is sufficient to answer the question. |

(e) |
If you cannot get the answer from the statements I and II together but needed more data. |

Anita is twice as old as Sunita, what is the difference in their ages?

I: |
5 years hence, the ratio of their ages respectively is 9 : 5. |

II: |
10 years ago, the ratio of their ages was 3 : 1. |

1 Answer

127 votes

Let the present age of Anita be years and Sunita’s present age e years.

Therefore …(i)

I: …(ii)

⇒ (using (i))

⇒

∴ Statement I alone is sufficient to give the answer.

Now, II :

⇒2-3=-20 (using (i))

⇒

∴ Statement II alone is also sufficient to give the answer.

Finally, we note that choice (d) is correct.

127 votes

127