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Which is greater the value of x or 60
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08 Aug 2025, 05:23
08 Aug 2025, 05:23
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Question Stats:
22% (01:23) correct
77% (01:50) wrong based on 9 sessions
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Attachment:
GRE value of x in the above figure.png [ 14.15 KiB | Viewed 1067 times ]
Quantity A |
Quantity B |
value of x in the above figure |
60 |
Re: Which is greater the value of x or 60
[#permalink]
09 Aug 2025, 07:31
09 Aug 2025, 07:31
1
If you draw a line across the shape to form 2 triangles, let the base of side 10 be y and the lenght of the dividing line be a
10 + 10 > a
10 - 10 < 0
0< a < 20
For the othe other triangle
9 + 1 > a
9 - 1 < a
8 < a < 10
Which now means that a is between 8 and 10 so angle x < y
From the first triangle
x + 2y = 180
y = -x/2 + 90
From the linear equation, we know that when y is reduced by 1, x increases by 2.
Now we start from 60 that is Quantity B
Notice that x and y can be 60 from the equation.
Since x is less than y then x is less than 60
Answer is B.
10 + 10 > a
10 - 10 < 0
0< a < 20
For the othe other triangle
9 + 1 > a
9 - 1 < a
8 < a < 10
Which now means that a is between 8 and 10 so angle x < y
From the first triangle
x + 2y = 180
y = -x/2 + 90
From the linear equation, we know that when y is reduced by 1, x increases by 2.
Now we start from 60 that is Quantity B
Notice that x and y can be 60 from the equation.
Since x is less than y then x is less than 60
Answer is B.
gmatclubot
Re: Which is greater the value of x or 60 [#permalink]
09 Aug 2025, 07:31
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