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Time and Work - General Aptitude

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
  • Give answer (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.
  • Give answer (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.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
Q1:

A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried out by A?
I.  A completed the job alone after A and B worked together for 5 days.
 II.  Part of the work done by A could have been done by B and C together in 6 days.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:A - I alone sufficient while II alone not sufficient to answer

B's 1 day's work = 1
20
(A+ B)'s 1 day's work = 1
7
 I. (A + B)'s 5 day's work = 5
7
Remaining work = 1 - 5 = 2 .
7 7
2 work was carried by A.
7
II. is irrelevant.  Correct answer is (A).