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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 (3 * 2 is less than or equal to 10) or not not not (-10 * 6 + -7 * 9 > -4 * 4)) or (not not not (The capital of Cameroon is Douala.) and not not (True))) and not not (not (not not not (4 - (6 / 6) is greater than -2) and not not (False)) and (not not not (The capital of India is Mumbai.) and not not (-2 * 9 is less than or equal to 2)))
(B) not ((not (-4 - (2 / -2) > 4) and (5 * 6 + -2 * -6 is less than or equal to 6 * -8)) or ((True) or (-1 * 10 + 1 * -9 <= -1 * -1))) or (not (not not not (8 * 5 + -8 * 5 <= 6 * 4) and not not (The capital of Iran is Isfahan.)) and (not (The capital of Colombia is Bogota.) and (True)))
(C) not (not not (not (not (not ((((not not not (((The capital of India is New Delhi.) and (max(10, -7, 7, -9) - min(10, -7, 7, -9) <= 9)) or (-4 - (9 / 7) > 4)) and not not (The capital of Colombia is Medellin.)) or (True)) and (True)) and (The capital of Iraq is Beirut.)) or (True)) or (4 * -4 + 10 * 3 is less than or equal to 1 * -2)) and (max(3, -5, -3, -7) - min(3, -5, -3, -7) is greater than 7)) or not not not (True)) or (-6 * -3 <= 6)
(D) (((The capital of Belarus is Minsk.) and (-7 * -8 + -9 * -10 is less than or equal to 2 * -2)) and (not (8 * -1 is less than or equal to -1) and (False))) or (not not (not (max(2, -6, 2, 2) - min(2, -6, 2, 2) <= 7) or (-8 - (-3 / -1) is less than or equal to 8)) or not not not (not (7 * -1 + -5 * -7 is less than or equal to 2 * 3) and (-1 - (-4 / 9) is less than or equal to 10)))
(E) not not not (not (not (not (((not not (not (not (not (not not not (not not not (not (not (-2 * 3 > -10) and (4 - (-2 / -9) is greater than -8)) and (False)) and not not (-7 * -10 + 4 * 5 is greater than 5 * -4)) and not not (6 - (6 / -3) <= -10)) and (True)) and (-7 - (-5 / 4) > -2)) or (-4 * -9 > 9)) or not not not (-5 * -1 > -7)) or (-6 - (5 / -8) > 5)) and (max(6, -5, -9, 8) - min(6, -5, -9, 8) <= 5)) and (False)) and (7 * 4 + 5 * 7 is greater than -8 * 4)) and (False)) and not not (False)

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Source and history

task_id
b8943963-8703-51f0-8f3e-17d80889e4bc
task_key
bbeh~5fboolean~5fexpressions--full--b8943963-8703-51f0-8f3e-17d80889e4bc
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import