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Difficulty:
25%
(medium)
Question Stats:
73% (01:16) correct
27%
(01:31)
wrong
based on 103
sessions
History
Date
Time
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Not Attempted Yet
A man 6 feet tall is standing near a pole. On the top of the pole is a light. What is the length of the shadow cast by the man? (Assume that the men is in a room with flat floor and the light on the pole is the only source of the light in that room).
(1) The pole is 18 feet high.
(2) The man is 12 feet from the pole
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(1) The pole is 18 feet high.
(2) The man is 12 feet from the pole
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
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option C
from Q stem we can draw a triangle similar to the one in attachment. however we need to know two more variables.
st1 gives the height of the post but this doesnt say anything about the length of shadow.
st2 gives the distance between the man and the post and this doesnt give the length of the shadow.
combining st1 & st2 we can find the length of the shadow as 4 (however not needed)
from Q stem we can draw a triangle similar to the one in attachment. however we need to know two more variables.
st1 gives the height of the post but this doesnt say anything about the length of shadow.
st2 gives the distance between the man and the post and this doesnt give the length of the shadow.
combining st1 & st2 we can find the length of the shadow as 4 (however not needed)
Attachments
1.jpg [ 9.65 KiB | Viewed 8668 times ]
Plunkster82
Joined: 09 Aug 2017
Last visit: 24 Apr 2018
Posts: 49
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE:Research (Finance: Investment Banking)
GMAT 2: 630 Q47 V29
Posts: 49
Based on the question stem, we know that the man is parallel to the light. So these triangles will be similar and hence proportional. We just need to know the height of the pole and distance from the pole.
ST1) Gives us the height
ST2) Gives us distance.
So C 1+2 together.
ST1) Gives us the height
ST2) Gives us distance.
So C 1+2 together.
frndrobinster
Joined: 02 Sep 2015
Last visit: 11 Nov 2017
Posts: 30
Location: India
Concentration: General Management, Entrepreneurship
Schools: Sauder 'Dec 18
GPA: 3.79
WE:General Management (Energy)
Schools: Sauder 'Dec 18
Posts: 30
St 1: it gives the height of pole but remains silent regarding distance of man from pole , so it is not sufficient to answer.
Statement 2 :it gives distance of man from pole but doesn't say anything about pole height. So it is insufficient to answer.
Combining St1 & 2, we can answer the question using similar triangle principle.
Hence Answer is C.
PS: since it is DS question, so don't try to find the exact answer, we should only ensure that the question can be answered uniquely.
Give Kudos if like the solution.
Posted from my mobile device
Statement 2 :it gives distance of man from pole but doesn't say anything about pole height. So it is insufficient to answer.
Combining St1 & 2, we can answer the question using similar triangle principle.
Hence Answer is C.
PS: since it is DS question, so don't try to find the exact answer, we should only ensure that the question can be answered uniquely.
Give Kudos if like the solution.
Posted from my mobile device
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