Reason (R): The shortest distance between the starting and ending point is given by the Pythagorean theorem.
A
Both A and R are true, and R correctly explains A.
B
Both A and R are true, but R does not explain A.
C
A is true, but R is false.
D
A is false, but R is true.
Total distance is indeed 15 km (true), but Pythagoras gives displacement, not distance, so R does not explain A.
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Reason (R): Because the coin was flipped five times in a row, and each time it came up heads.
A
Both (A) and (R) are true, and (R) is the correct explanation of (A).
B
Both (A) and (R) are false, and (R) is the correct explanation of (A).
C
(A) is doubtful, (R) is true, and (R) is not the correct explanation of (A).
D
(A) is doubtful, (R) is false, and (R) is the correct explanation of (A).
Past coin flips do not influence future outcomes, hence A is doubtful, R is true but not valid explanation.
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Reasoning (R): Some men are not perfect.
A
Both (A) and (R) are true but (R) does not provide sufficient reason for (A).
B
Both (A) and (R) are true and (R) provides sufficient reason for (A).
C
(A) is true but (R) is false
D
(A) is false but (R) is true
Both statements are true but `some men are not perfect` does not fully justify `no man is perfect`.
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