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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 integers a and b, what is the value of max(a,b)?
(1) a > b
(2) ab = −1
(1) a > b
(2) ab = −1
21 May 2018, 09:41
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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 integers a and b, what is the value of max(a,b)?
(1) a > b --> max(a, b) = a but since we don't know the numerical value of a, then this statement is not sufficient.
(2) ab = −1. Since a and b are integers, then a = 1 and b = -1 or vise-versa. In any case, max(a, b) = 1. Sufficient.
Answer: B.
Similar questions to practice:
https://gmatclub.com/forum/max-x-y-is-d ... 28330.html
https://gmatclub.com/forum/for-any-inte ... 94998.html
https://gmatclub.com/forum/for-any-inte ... 61903.html
Hope it helps.
(1) a > b --> max(a, b) = a but since we don't know the numerical value of a, then this statement is not sufficient.
(2) ab = −1. Since a and b are integers, then a = 1 and b = -1 or vise-versa. In any case, max(a, b) = 1. Sufficient.
Answer: B.
Similar questions to practice:
https://gmatclub.com/forum/max-x-y-is-d ... 28330.html
https://gmatclub.com/forum/for-any-inte ... 94998.html
https://gmatclub.com/forum/for-any-inte ... 61903.html
Hope it helps.
General Discussion
02 Jun 2018, 11:11
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Bunuel
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 integers a and b, what is the value of max(a,b)?
(1) a > b --> max(a, b) = a but since we don't know the numerical value of a, then this statement is not sufficient.
(2) ab = −1. Since a and b are integers, then a = 1 and b = -1 or vise-versa. In any case, max(a, b) = 1. Sufficient.
Answer: B.
Similar questions to practice:
https://gmatclub.com/forum/max-x-y-is-d ... 28330.html
https://gmatclub.com/forum/for-any-inte ... 94998.html
https://gmatclub.com/forum/for-any-inte ... 61903.html
Hope it helps.
(1) a > b --> max(a, b) = a but since we don't know the numerical value of a, then this statement is not sufficient.
(2) ab = −1. Since a and b are integers, then a = 1 and b = -1 or vise-versa. In any case, max(a, b) = 1. Sufficient.
Answer: B.
Similar questions to practice:
https://gmatclub.com/forum/max-x-y-is-d ... 28330.html
https://gmatclub.com/forum/for-any-inte ... 94998.html
https://gmatclub.com/forum/for-any-inte ... 61903.html
Hope it helps.
Hello Bunuel
I've one question here:-
for 2) even this is the possibility, a = -1/2 and b = 2 or a = -2 and b = 1/2. Here also we don't have definite value for a or b. Then this statement must not be sufficient?
