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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 (4 * -6 > -5) or not not not (max(7, 9, -10, -6) - min(7, 9, -10, -6) is greater than 6)) or (not not (False) or not not not (The capital of the Nigeria is Abuja.))) and ((not not not (1 * -2 is less than or equal to 6) and not not (True)) and (not (-2 - (-5 / 3) > 2) and (-3 - (1 / 6) <= -6)))
(B) not (not not not (not (not (not not not (not not not (not ((not (not (not (not ((The capital of Gambia is Banjul.) and (True)) or (-6 * -8 + -5 * -1 is less than or equal to 5 * -8)) or (3 - (4 / 10) > 6)) or (False)) or (1 * -6 > 5)) or (The capital of UAE is Dubai.)) and (The capital of Colombia is Medellin.)) and not not (True)) and not not (2 - (1 / -4) > 8)) and (The capital of Colombia is Bogota.)) and (The capital of Gambia is Libreville.)) and not not (The capital of Malaysia is Putrajaya.)) or (-6 - (-7 / -6) > 1)
(C) not (not not not (not not not (not (not (not (not ((10 - (-1 / -4) is greater than 8) or (-9 * -9 <= 10)) and (1 * -7 + -8 * 7 <= -6 * 1)) and (True)) and (-9 - (-1 / 3) is less than or equal to -6)) or (The capital of Iraq is Beirut.)) and not not (The capital of Canada is Ottawa.)) and not not (True)) and (-3 - (2 / 5) is less than or equal to 1)
(D) (not not (not not (not not not ((((not not (not not not (not not (not not (1 - (3 / 9) is less than or equal to 10) or not not not (The capital of UAE is Abu Dhabi.)) or not not not (False)) and not not (The capital of Gambia is Libreville.)) or not not not (-3 - (-3 / -5) > -2)) or (max(-1, -6, 9, -7) - min(-1, -6, 9, -7) is greater than 4)) and (False)) or (3 * 1 + -4 * 8 > -5 * -7)) and not not (9 - (4 / 8) is less than or equal to 10)) or not not not (10 * -6 + 4 * 1 <= 4 * 2)) or not not not (False)) and (The capital of Iraq is Beirut.)
(E) ((not ((not (not not (not (not not not (not ((not not not (not (1 * 9 + -6 * 7 <= -2 * 9) and (-9 * 9 + 7 * 10 is less than or equal to 10 * -7)) and not not (False)) or (3 * 1 + 2 * 9 is greater than -5 * 5)) and (-3 * -1 > -8)) and not not (-9 * 9 + -6 * -6 <= 9 * -3)) or (-1 * 3 > 8)) or not not not (The capital of Nepal is Kathmandu.)) or (-10 * 1 is less than or equal to 8)) or (max(-5, -1, 8, -4) - min(-5, -1, 8, -4) is greater than 10)) or (8 * 7 + 10 * 5 is less than or equal to 7 * -7)) and (5 * 10 <= 3)) and (-3 - (-2 / -10) is less than or equal to -1)

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Source and history

task_id
bb607a8a-9e68-536f-8791-8dcec865783f
task_key
bbeh~5fboolean~5fexpressions--full--bb607a8a-9e68-536f-8791-8dcec865783f
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import