OG-12, DS -115

[him1985]

For any integer x & y ,min(x,y) and max(x,y)denote the minimum & maximum of x & y respectively. For ex., 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)

[him1985]

According to OG correct answer is D But i am reaching at conclusion B

Statement 2 is OK but i am confused for statement A

w = max(20,z) for some integer z

z can be any integer, may be greater than 20 or may be less than 20..
Also We cant infer from the statement that w is z(max), it may be 20 also if value of z is less than 20.

Please Explain this..

[Anurag@Gurome]

For any integer x & y ,min(x,y) and max(x,y)denote the minimum & maximum of x & y respectively. For ex., 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)

Statement 1: w = max(20, z)
Hence, w ≥ 20 > 10
Hence, min(10, w) = 10

Sufficient

Statement 2: w = max(10, w)
max(10, w) is either equal to 10 or equal to w.
If max(10, w) = 10, then w = 10 ---> min(10, w) = min(10, 10) = 10
If max(10, w) = w, then 10 must be less than w --> min(10, w) = 10

Sufficient

The correct answer is D.

[him1985]

For any integer x & y ,min(x,y) and max(x,y)denote the minimum & maximum of x & y respectively. For ex., 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)

Statement 1: w = max(20, z)
Hence, w ≥ 20 > 10
Hence, min(10, w) = 10

Sufficient

Statement 2: w = max(10, w)
max(10, w) is either equal to 10 or equal to w.
If max(10, w) = 10, then w = 10 ---> min(10, w) = min(10, 10) = 10
If max(10, w) = w, then 10 must be less than w --> min(10, w) = 10

Sufficient

The correct answer is D.

Statement 2 is OK but i am confused for statement A

w = max(20,z) for some integer z

z can be any integer, may be greater than 20 or may be less than 20..
Also We cant infer from the statement that w is z(max), it may be 20 also if value of z is less than 20.

[Anurag@Gurome]

z can be any integer, may be greater than 20 or may be less than 20..
Also We cant infer from the statement that w is z(max), it may be 20 also if value of z is less than 20.

w = max(20, z) for any integer z
Hence, w is equal to the larger integer among 20 and z.

That means,

• If z < 20, then w = 20
  If z = 20, then w = 20
  If z > 20, then w = z > 20

To put them together w will be always greater than or equal to 20. This in turn means w will be also greater than 10.

Hence, min(10, w) = minimum of 10 and w = 10

Hope this helps.

[him1985]

Thanks now i got it...