Quantitative Aptitude Ques 843

Question: Directions: 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 give answer. [BOI (PO) 2010]

In how many days will five women complete a work? I. Two women, five boys and three met together complete the work in eight days II. Six women complete the same work in sixteen days

Options:

A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

B) 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

C) If the data in statement I alone or in statement II alone are sufficient to answer the question

D) If the data in both the statements I and II are not sufficient to answer the question

E) If the data in both the statements I and II together are necessary to answer the question

Show Answer

Answer:

Correct Answer: B

Solution:

  • From statement I, No equivalence relation among a woman, a boy and a man can be established. From statement II, $ M _1D _1=M _2D _2 $

$ \Rightarrow $ $ 6\times 16=5\times D _2 $

$ \Rightarrow $ $ D _2=\frac{6\times 16}{5}=\frac{96}{5}=19\frac{1}{5}days $