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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 (not (not not not (not not ((not not ((not (not not (False) or not not not (False)) or (The capital of Turkey is Ankara.)) and (max(-10, 10, -1, 4) - min(-10, 10, -1, 4) <= 3)) or not not not (7 - (3 / 10) is less than or equal to 9)) or (False)) or not not not (3 * -9 > 6)) and not not (False)) and (-3 - (1 / 1) is less than or equal to 5)) and not not (9 * 1 > 7)) or (The capital of India is Mumbai.)) and (The capital of Afghanistan is Kandahar.)) and not not (True)) or (7 * -3 + 6 * -5 > -8 * -6)) and not not (-4 - (-6 / 10) is less than or equal to 7)) and (-7 * -5 + -8 * -1 is less than or equal to 1 * -6)
(B) (not (not (not (not (not not (not not not (not not not (not (2 * -10 + -9 * -3 is less than or equal to 2 * -1) and (False)) and not not (True)) and not not (-7 - (-8 / -7) > -1)) or not not not (-8 * -9 + -10 * 7 is less than or equal to -10 * 8)) or (max(-7, 4, -5, 9) - min(-7, 4, -5, 9) <= 9)) and (The capital of Afghanistan is Kandahar.)) or (max(-2, -3, -3, 2) - min(-2, -3, -3, 2) > 7)) or (The capital of Iraq is Beirut.)) or (max(-1, 4, 4, -7) - min(-1, 4, 4, -7) <= 9)
(C) (not (not not not ((not not not (not not not (not (not not not (max(10, 6, -3, 1) - min(10, 6, -3, 1) is greater than 3) and not not (8 * -10 + 5 * -9 <= -4 * 7)) and (-4 - (9 / 8) > -5)) and not not (5 - (-3 / 7) is greater than -4)) and not not (False)) and (True)) and not not (False)) or (max(-1, -6, 10, -1) - min(-1, -6, 10, -1) <= 1)) and (6 * 5 + -1 * 5 > 10 * 10)
(D) not (not (not (not not not (not not not (not (not (not (not not not ((not (The capital of Malaysia is Putrajaya.) and (-7 * -4 > -9)) or (-5 * -9 + 5 * 9 is less than or equal to 3 * -4)) and not not (False)) and (True)) and (-2 * 8 > -8)) or (The capital of Germany is Munich.)) and not not (The capital of Gambia is Banjul.)) and not not (True)) and (The capital of UAE is Abu Dhabi.)) or (True)) or (The capital of Colombia is Bogota.)
(E) not ((not ((not (not not not (not (not (not not not (The capital of India is Mumbai.) and not not (1 * 4 + -8 * 4 <= -7 * -4)) or (max(-3, 1, 10, 2) - min(-3, 1, 10, 2) <= 4)) and (True)) and not not (False)) and (4 * -8 > 7)) or (-7 * 10 > -5)) and (True)) or (The capital of Gambia is Banjul.)) or (5 * 7 + 3 * -4 is less than or equal to -7 * 6)

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Source and history

task_id
d89aec84-3a6f-551f-9800-6ef3019d21b9
task_key
bbeh~5fboolean~5fexpressions--full--d89aec84-3a6f-551f-9800-6ef3019d21b9
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import