Bunuel wrote:

If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane

(B) Lines m, n and p are in different planes

(C) Line m is parallel to line n

(D) Line m is the same line as line n

(E) Line m is the same line as line p

(A) Lines m, n and p lie in the same plane -

INCORRECTReasons: m and p could be in one plane and n and p could be in another plane hence not necessarily they all will be in same plane

(B) Lines m, n and p are in different planes -

INCORRECTReasons: m, n and p could all be in one plane as well

(C) Line m is parallel to line n -

CORRECTSince m and p are parallel on one part and n and p are parallel on other plane then there must be a plane containing lines n and m as well hence they must be parallel not necessarily in the same plane containing line p as well

(D) Line m is the same line as line n -

INCORRECT(E) Line m is the same line as line p -

INCORRECTANswer: Option C

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