CAT 1994 — QA Question 42
Each of these items has a question followed by two statements. As the answer,
Mark (a), If the question can be answered with the help of statement I alone,
Mark (b), If the question can be answered with the help of statement II, alone,
Mark (c), If both, statement I and statement II are needed to answer the question, and
Mark (d), If the question cannot be answered even with the help of both the statements.
A and B work at digging a ditch alternately for a day each. If A can dig a ditch in ‘a’ days and B can dig that ditch in ‘b’ days, will work get done faster if A begins the work?
I. n is a positive integer such that n = 1
II. b > a
Answer & solution
a
- B
b
- C
c
- D
d
If the total work is one unit, work done by A and B in one day will be unit and unit respectively.
Using statement I: = 1,
Since ‘n’ is an integer, if both A and B work for n days, work will be completed no matter who starts a work.
Using statement II, nothing can be concluded as total amount of work is not known.