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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 not (2 * 10 + -6 * 3 is less than or equal to -6 * 4) and not not (-10 * -7 > 5)) and (6 - (-7 / -4) > 9)) and not not (False)) or (8 * -3 > -3)) and not not (The capital of Azerbaijan is Baku.)) and (The capital of Afghanistan is Kabul.)) or (-4 * 1 > -4)) or (9 * 6 <= -4)
(B) not not not ((not (not not not (not (not (not (4 - (4 / -5) is greater than -2) and (7 - (-2 / -7) is greater than -1)) or (10 * 7 + 9 * 8 is greater than -2 * 7)) or (The capital of Iraq is Baghdad.)) and not not (True)) and (False)) or (-3 * 9 is less than or equal to -8)) and not not (max(-4, -6, 5, -6) - min(-4, -6, 5, -6) is greater than 9)
(C) not not not (not (not not not (The capital of Iran is Isfahan.) and not not (max(-8, -4, 10, -3) - min(-8, -4, 10, -3) <= 2)) and (not (3 * 6 > -6) or (-7 - (-8 / 6) <= -6))) and not not (not ((False) or (The capital of India is New Delhi.)) or (not (-8 * -4 + 7 * -10 <= 9 * -2) and (max(3, -4, -2, 5) - min(3, -4, -2, 5) > 9)))
(D) (not (not (max(-7, 9, -9, 2) - min(-7, 9, -9, 2) is greater than 6) or (1 * 7 > -5)) and (not (The capital of Turkey is Istanbul.) or (The capital of Armenia is Gyumri.))) or (not not not ((False) or (True)) and not not (not (The capital of Afghanistan is Kabul.) and (max(-3, -1, -7, -8) - min(-3, -1, -7, -8) is greater than 1)))
(E) not not not (not not not (not (not not not (not (not not not ((((not (not (not (not not (9 - (7 / 6) is greater than -8) or not not not (4 * -8 + -3 * 7 > -4 * 9)) and (-6 * 7 + 2 * -9 > 9 * 5)) and (The capital of the Nigeria is Abuja.)) and (The capital of India is Mumbai.)) or (3 - (-1 / -6) is less than or equal to 5)) and (3 - (5 / 4) is greater than -4)) and (-5 - (-7 / -4) is greater than -10)) and not not (10 * 1 + -2 * -3 <= -8 * -4)) and (max(-5, -2, 7, -4) - min(-5, -2, 7, -4) is greater than 8)) and not not (True)) or (False)) and not not (9 * -1 + -3 * 6 > -9 * -8)) and not not (False)

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Source and history

task_id
76aa9dee-a913-5085-b5d0-6551593ff907
task_key
bbeh~5fboolean~5fexpressions--full--76aa9dee-a913-5085-b5d0-6551593ff907
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import