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21 May 2016, 17:39
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (02:20) correct
30%
(02:13)
wrong
based on 111
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There are a rectangle and a triangle as above figure. Each of triangles ABE’s area and BOE’s area is 4, what is the height(x) of the triangle ABE?
1) The rectangle BCDE is a square
2) The triangle ABE is an isosceles
*An answer will be posted in 2 days
1) The rectangle BCDE is a square
2) The triangle ABE is an isosceles
*An answer will be posted in 2 days
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21 May 2016, 23:54
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Area = 1/2 * base * height = 1/2 * BE * x
St1: The rectangle BCDE is a square.
Since diagonals of a square bisect each other, the diagonals divide the square into 4 triangles of equal area.
Area of BCDE = 4 * Area of triangle BOE = 16
Length of BE = 4
4 = 1/2 * 4 * x
x = 2
Sufficient
St2: ABE is isosceles --> Clearly insufficient as there is no information about the sides.
4 = 1/2 * BE * x
Length of BE can be different.
If BE = 8 then x = 1
If BE = 4 then x = 2
Answer: A
St1: The rectangle BCDE is a square.
Since diagonals of a square bisect each other, the diagonals divide the square into 4 triangles of equal area.
Area of BCDE = 4 * Area of triangle BOE = 16
Length of BE = 4
4 = 1/2 * 4 * x
x = 2
Sufficient
St2: ABE is isosceles --> Clearly insufficient as there is no information about the sides.
4 = 1/2 * BE * x
Length of BE can be different.
If BE = 8 then x = 1
If BE = 4 then x = 2
Answer: A
23 May 2016, 20:35
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If we modify the original condition and the question, we only need to know the length of BE. In the case of the condition 1), BE=4. The answer is unique and the condition is sufficient.
In the case of the condition 2), we cannot know BE, hence, not sufficient. Therefore, the correct answer is A.
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
In the case of the condition 2), we cannot know BE, hence, not sufficient. Therefore, the correct answer is A.
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
