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13 Feb 2019, 23:27
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (00:39) correct
6%
(00:57)
wrong
based on 53
sessions
History
Date
Time
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Not Attempted Yet
Bob leaves point A and drives due west to point B. From point B, he drives due south to point C. How far is Bob from his original location?
(1) Point A is 24 miles from point B.
(2) Point B is 18 miles from point C.
(1) Point A is 24 miles from point B.
(2) Point B is 18 miles from point C.
13 Feb 2019, 23:44
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Solution
Given:
- • Bob leaves point A and drives due west to point B.
• From point B, Bob drives due south to point C.
- • The distance Bob is now, from his original position.
Analysing Statement 1
As per the information given in statement 1, point A is 24 miles from point B.
- • However, from this statement we cannot find out the distance between point B and point C, or the direct distance between point A and point C.
Hence, statement 1 is not sufficient to answer the question.
Analysing Statement 2
As per the information given in statement 2, point B is 18 miles from point C.
- • However, from this statement we cannot find out the distance between point A and point B, or the direct distance between point A and point C.
Hence, statement 2 is not sufficient to answer the question.
Combining Both Statements
Combining both, we can say
- • Point A to point B = 24 miles
• Point B to point C = 18 miles
• Therefore, distance AC = \(\sqrt{(24^2 + 18^2)}\) = 30 miles
Hence, the correct answer is option C.
Answer: C
Archit3110
14 Feb 2019, 11:34
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SajjadAhmad
Plot on values as given
we can see it will be a right angled triangle
#1 AB = 24 miles
BC & AC not known in sufficient
#2
BC = 18
AB & CA not known
in sufficient
from 1 & 2
3:4:5 right angled triangle
so AC = 30
IMO C
