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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 (The capital of India is New Delhi.) and (-1 - (8 / -2) is greater than -7)) or (max(-6, 2, 8, 3) - min(-6, 2, 8, 3) <= 3)) or (max(3, -6, 3, 8) - min(3, -6, 3, 8) <= 10)) and (True)) or (The capital of the Nigeria is Lagos.)) or (1 * -9 + 2 * 6 is less than or equal to -4 * 1)) and (False)) or not not not (The capital of India is New Delhi.)) and not not (max(2, 10, -9, 6) - min(2, 10, -9, 6) <= 8)) and (2 * -1 + 2 * 3 > 10 * 2)) and (max(1, -3, 7, -8) - min(1, -3, 7, -8) is greater than 5)) and (1 - (-8 / -6) > 2)
(B) not (not not (not (not (not (not ((not not (not (not (not (True) and (The capital of Nepal is Kathmandu.)) and (1 * -1 + 1 * 3 > -4 * -6)) and (7 * -8 > -5)) or not not not (-6 * -1 > -9)) and (2 * -1 + -2 * 9 > -9 * -8)) and (3 * -8 + 8 * 9 is less than or equal to -9 * 10)) or (True)) and (4 * 3 + -3 * 3 is less than or equal to -2 * 2)) and (max(1, -6, -8, 3) - min(1, -6, -8, 3) is greater than 3)) or not not not (6 - (7 / -3) is greater than -2)) or (10 - (-2 / 6) <= 7)
(C) not (not (not not not (not (The capital of Turkey is Ankara.) and (The capital of Nepal is Kathmandu.)) and not not ((-3 * 7 + 1 * 1 <= -4 * -8) and (4 * 8 > -8))) or (not not (not not (max(-7, -4, -10, 2) - min(-7, -4, -10, 2) is greater than 4) or not not not (True)) or not not not (not not (The capital of Azerbaijan is Baku.) or not not not (The capital of Nepal is Pokhara.)))) or (not (not (not (max(6, -4, 5, 3) - min(6, -4, 5, 3) <= 8) or (max(4, -8, 7, 7) - min(4, -8, 7, 7) <= 3)) and ((10 * 8 <= -1) and (1 - (-9 / 9) > 2))) or (not ((-2 * 8 is less than or equal to 9) and (True)) and (not (-9 * 7 + -10 * -6 <= -7 * -3) or (4 * -2 + -8 * 8 > -2 * 9))))
(D) not (not (not (not not not (not not not ((not (not not not (not (-4 * -5 > 9) or (10 * 5 + 9 * 10 is less than or equal to -1 * -8)) and not not (10 * -6 + 10 * -2 <= -3 * 6)) or (6 * -9 + -9 * 8 > -9 * 9)) or (True)) and not not (False)) and not not (True)) and (8 * 6 + 3 * -3 is less than or equal to 1 * 9)) or (-8 - (2 / -9) <= -8)) and (-10 * 2 > -2)
(E) not not not ((not (not not not (not (not ((not (not not not ((not (not (not not (not not not (The capital of Canada is Ottawa.) and not not (True)) or not not not (max(-6, -2, -4, -6) - min(-6, -2, -4, -6) <= 3)) or (4 * 6 > -9)) or (-10 * 1 + -5 * -4 is less than or equal to -2 * 4)) or (2 * -8 > 2)) and not not (-6 * 7 > -2)) and (max(7, 4, 2, 2) - min(7, 4, 2, 2) <= 6)) or (False)) or (-3 - (3 / 3) > 5)) and (False)) and not not (-8 * 9 > -7)) or (max(-9, -4, -10, 6) - min(-9, -4, -10, 6) <= 7)) and (-7 * 10 is less than or equal to 3)) and not not (-4 * 10 > -7)

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Source and history

task_id
c0e780c5-fcb6-52c9-9d3f-c715bd7e39db
task_key
bbeh~5fboolean~5fexpressions--full--c0e780c5-fcb6-52c9-9d3f-c715bd7e39db
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import