For any integers x and y, min(x, y) and max(x, y) denote
the minimum and the maximum of x and y, respectively.
For example, min(5, 2) = 2 and max(5, 2) = 5. For the
integer w, what is the value of min(10, w) ?
(1) w = max(20, z) for some integer z.
(2) w = max(10, w)
Please explain statement 1. I did not get it.
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Hi Nishat
if z<20 say 19 ,
then w = 20
if z>20 say 21 ,
then w = z = 21
Since we dont know the exact value of z, we cant determine the value of w.
But as per both cases, w is at least 20.
Therefore min(10,w) = 10
Hence SUFF
therefore min(10, w) = 10 for all values of 10.
Hence SUFF
ANS D
Hope it helps
According to this sentence(1) w = max(20, z) for some integer z.
if z<20 say 19 ,
then w = 20
if z>20 say 21 ,
then w = z = 21
Since we dont know the exact value of z, we cant determine the value of w.
But as per both cases, w is at least 20.
Therefore min(10,w) = 10
Hence SUFF
As per this statement, w>10(2) w = max(10, w)
therefore min(10, w) = 10 for all values of 10.
Hence SUFF
ANS D
Hope it helps
Last edited by das.ashmita on Tue Oct 09, 2012 8:07 am, edited 2 times in total.
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The value of min(10,w) is equal to the MINIMUM of 10 and w.[email protected] wrote:For any integers x and y, min(x, y) and max(x, y) denote
the minimum and the maximum of x and y, respectively.
For example, min(5, 2) = 2 and max(5, 2) = 5. For the
integer w, what is the value of min(10, w) ?
(1) w = max(20, z) for some integer z.
(2) w = max(10, w)
Please explain statement 1. I did not get it.
If 10<w, then the MINIMUM of 10 and w is 10.
Statement 1: w = max(20, z) for some integer z.
In other words, w is equal to the MAXIMUM of 20 and z.
Case 1: 20<z
In this case, the MAXIMUM value is z, which is greater than 20 and thus GREATER THAN 10.
Case 2: z≤20
In this case, the MAXIMUM value is 20, which is GREATER THAN 10.
In each case, the MAXIMUM value -- in other words, the value of w -- is GREATER THAN 10.
Thus, w>10.
Since 10<w, min(10,w) = 10.
SUFFICIENT.
Statement 2: w = max(10, w)
Thus, of 10 and w, the MAXIMUM value is w.
In other words, w>10.
Since 10<w, min(10,w) = 10.
SUFFICIENT.
The correct answer is D.
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If w > 10, min(10, w) = 10[email protected] wrote:For any integers x and y, min(x, y) and max(x, y) denote
the minimum and the maximum of x and y, respectively.
For example, min(5, 2) = 2 and max(5, 2) = 5. For the
integer w, what is the value of min(10, w) ?
(1) w = max(20, z) for some integer z.
(2) w = max(10, w)
Please explain statement 1. I did not get it.
If w < 10, min(10, w) = w
Statement 1: w = max(20, z)
This means w is maximum of 20 and z. Hence, w is more than or equal to 20.
Therefore, w > 10 --> min(10, w) = 10
Sufficient
Statement 2: w = max(10, w)
This means w is maximum of 10 and w. Hence, w > 10.
Therefore, min(10, w) = 10
Sufficient
The correct answer is D.
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