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BIG-Bench Extra Hard (BBEH) / From the following five expressions, only one evaluates to true. Which one is…

Problem

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input

From the following five expressions, only one evaluates to true. Which one is it?

(A) not not not (not not (not not (not (not (not (not not (7 * 7 <= 1) or not not not (The capital of Norway is Bergen.)) and (2 * -1 + -5 * -1 > -8 * -9)) and (-3 * -1 + 8 * 5 <= 8 * 6)) or (8 * 6 <= 10)) or not not not (True)) or not not not (-4 - (2 / 7) > -3)) and not not (True)
(B) not (not (not not not ((not (not not not (not (not (not (not not not (not (not (not not not (True) and not not (The capital of the Nigeria is Lagos.)) or (4 - (-7 / 5) is less than or equal to 8)) or (False)) and not not (max(10, -10, 10, -5) - min(10, -10, 10, -5) <= 6)) or (-2 * 4 + -2 * -2 is less than or equal to 5 * -5)) and (-7 * 4 is less than or equal to -8)) and (max(-5, -1, 7, 9) - min(-5, -1, 7, 9) <= 9)) and not not (The capital of Jordan is Beirut.)) or (False)) or (7 * -3 + -8 * -9 is greater than 6 * -3)) and not not (max(-8, 1, 2, -3) - min(-8, 1, 2, -3) is greater than 8)) or (max(-7, 7, -4, 8) - min(-7, 7, -4, 8) <= 4)) and (True)
(C) not not (not not not (not (True) or (False)) and not not (not not not (-3 * -1 + 7 * -8 <= -5 * 4) and not not (The capital of Denmark is Copenhagen.))) or not not not (not not (not (-7 - (5 / 8) > 1) or (max(-7, 4, -4, 7) - min(-7, 4, -4, 7) is greater than 9)) or not not not ((-2 * -6 + 6 * 1 is less than or equal to -10 * 6) and (-5 * 6 > -5)))
(D) (not not not (not (10 * -1 is less than or equal to 5) or (-4 * 10 + -5 * -7 <= -7 * -4)) and not not (not (True) and (4 * -3 + -9 * 6 > 8 * 5))) or (not (not (max(3, -10, 10, -8) - min(3, -10, 10, -8) is greater than 1) or (The capital of Canada is Toronto.)) or (not not (-5 - (6 / -5) <= -7) or not not not (max(-2, -9, 4, 1) - min(-2, -9, 4, 1) is greater than 2)))
(E) not not not (not not ((-1 * -6 + 5 * 1 is greater than -3 * 1) or (-4 * 10 + -8 * -10 is greater than -4 * -4)) or not not not (not not (9 - (-8 / 1) is greater than 1) or not not not (max(-8, -3, -3, -6) - min(-8, -3, -3, -6) > 9))) and not not (not not (not (-6 * 2 is less than or equal to 2) or (The capital of Cameroon is Yaounde.)) or not not not (not not not (The capital of Cameroon is Douala.) and not not (-6 * -10 + 1 * -7 is less than or equal to -1 * -1)))

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Source and history

task_id
cc4dd07f-612e-5879-8e74-016775a95d5a
task_key
bbeh~5fboolean~5fexpressions--full--cc4dd07f-612e-5879-8e74-016775a95d5a
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import