Data Sufficiency Question 16
Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement (s) is/are necessary to answer the question.
(IBPS Bank PO/MT
CWE-III 26.10.2013)
- What is the speed of boat in still water?
I. The boat covers $12 km$ in 2 hours in downstream.
II. The boat covers same distance in 4 hours in upstream.
III. The speed of stream is one third of that of boat in still water.
(1) Both I and II
(2) I and either II or III
(3) All I, II and III
(4) Question cannot be answered even with the information in all three statements.
(5) None of these
Show Answer
Correct Answer: 16. (2)
Solution: 16. (2) From statements I and II,
Rate downstream
$=u+v=6 \mathrm{kmph}$
Rate upstream $=u-v$
$=3 \mathrm{kmph}$
$u=\frac{1}{2}((u+v)+(u-v))$ $=\frac{1}{2}(6+3)$
$=\frac{9}{2} \mathrm{kmph}$
From statements I and III,
$u+v=6 \mathrm{kmph}$
$\Rightarrow u+\frac{u}{3}=6$
$\Rightarrow 4 u=18$
$\Rightarrow u=\frac{18}{4}=\frac{9}{2} \mathrm{kmph}$
BETA
