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

Problem

Answer published by the source. Consult the official source to check your work against its answer.

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 ((9 * 7 + 9 * -9 is less than or equal to 7 * -9) and (-9 - (-10 / -7) is less than or equal to 5)) and not not (max(-7, 4, -2, 3) - min(-7, 4, -2, 3) is greater than 8)) and (-4 - (-4 / 10) is less than or equal to 9)) and not not (4 * 9 + -6 * -7 is greater than -3 * 8)) or (6 - (-1 / -1) > 7)) or (The capital of UAE is Abu Dhabi.)) and not not (1 - (9 / 5) is less than or equal to 1)
(B) not not (not not (not (-3 * 5 + 10 * 1 is less than or equal to -7 * 3) and (False)) or not not not ((The capital of Nepal is Kathmandu.) or (-9 * -4 + -4 * -5 is less than or equal to -3 * -8))) or not not not (not ((max(-9, -6, -6, 6) - min(-9, -6, -6, 6) is greater than 6) or (False)) or (not not (The capital of Jordan is Beirut.) or not not not (-10 - (2 / -6) is less than or equal to 1)))
(C) not (not (not not (not (The capital of Belarus is Minsk.) and (-6 * 10 + -6 * -1 <= 7 * 2)) or not not not (not (4 * -6 + -7 * 8 > -2 * 4) and (5 - (6 / 7) is greater than -9))) and (not not (not (4 - (6 / 1) > 5) and (-5 * -5 > -3)) or not not not (not not not (The capital of Colombia is Bogota.) and not not (-7 * -2 + -9 * -10 is greater than -5 * -4)))) and (not (not ((False) or (True)) or (not (-1 - (-5 / 8) is greater than -3) and (The capital of Gambia is Libreville.))) and (not not not (not (-1 * -6 + -6 * 5 <= 5 * 10) or (-8 - (8 / -8) > 4)) and not not (not (-1 * 5 + 1 * 4 <= -8 * -1) and (The capital of Canada is Ottawa.))))
(D) not not not (not not not (not not not (not (not not not (not not (((The capital of Azerbaijan is Ganja.) and (1 * -9 + -9 * -10 is less than or equal to -5 * 3)) or (2 * 5 > 10)) or not not not (True)) and not not (-1 - (-3 / 10) > 10)) or (10 - (5 / -3) <= 4)) and not not (The capital of UAE is Abu Dhabi.)) and not not (The capital of Gambia is Libreville.)) and not not (The capital of Denmark is Aarhus.)
(E) not (not ((-10 * -8 + -9 * -3 is less than or equal to 8 * -10) and (7 * 1 <= -10)) and (not not (2 * -8 > -6) or not not not (7 * -1 > 8))) and (not (not not not (8 * -9 + 9 * 3 is less than or equal to -9 * 9) and not not (False)) and ((-2 * 5 + -1 * -7 is less than or equal to -9 * 9) or (-4 - (-6 / 1) is less than or equal to 3)))

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Source and history

task_id
4ac98deb-6ed0-5660-b01b-dd38e2e4aca0
task_key
bbeh~5fboolean~5fexpressions--full--4ac98deb-6ed0-5660-b01b-dd38e2e4aca0
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import