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08 Jan 2020, 02:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
57% (01:14) correct
43%
(01:13)
wrong
based on 178
sessions
History
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Time
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Is the perimeter of a triangle greater than 30?
(1) The shortest side's length is greater than 10.
(2) The longest side's length is greater than 15.
Are You Up For the Challenge: 700 Level Questions
08 Jan 2020, 02:51
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Is the perimeter of a triangle greater than 30?
Statement 1: The shortest side's length is greater than 10
Let's assume the length of short side to be 10.1 and others are 10.2 and 10.2 - We will get the Perimeter (sum of all sides) greater than 30.
Sufficient
A D /B C E
Statement 2: The longest side's length is greater than 15
We know that the longest side will be less than than the sum of other two sides.
Let's assume the length of longest side to be 15.1 and the sum of the other two will be greater than it, let's take 15.2. We will get the Perimeter (sum of all sides) greater than 30
Sufficient
'D' is the winner.
Are You Up For the Challenge: 700 Level Q
Statement 1: The shortest side's length is greater than 10
Let's assume the length of short side to be 10.1 and others are 10.2 and 10.2 - We will get the Perimeter (sum of all sides) greater than 30.
Sufficient
A D /
Statement 2: The longest side's length is greater than 15
We know that the longest side will be less than than the sum of other two sides.
Let's assume the length of longest side to be 15.1 and the sum of the other two will be greater than it, let's take 15.2. We will get the Perimeter (sum of all sides) greater than 30
Sufficient
'D' is the winner.
Are You Up For the Challenge: 700 Level Q
Quote:
(1) The shortest side's length is greater than 10. sufic
ABC: B-A<C<B+A, C-A<B<C+A, C-B<A<C+B
ABC: 10.01,10.01,10.01 = 30.03
(2) The longest side's length is greater than 15. sufic
ABC: B-A<C<B+A, C-A<B<C+A, C-B<A<C+B
if C>15, and C-B<A<C+B, then 15.01<A+B, so C+A+B>30
Ans (D)
