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tmua.me Medium Set C Paper 2 · Q5

Paper 2Logic & proofGeometry

A rectangle has width ww, height hh and diagonal length dd. Consider the statement

If d>10, then w>6 or h>8.\text{If }d>10,\text{ then }w>6\text{ or }h>8.

Which of the following is its contrapositive?

AIf w>6w>6 or h>8h>8, then d>10d>10.
BIf d≤10d\leq10, then w≤6w\leq6 and h≤8h\leq8.
CIf w≤6w\leq6 or h≤8h\leq8, then d≤10d\leq10.
DIf w<6w<6 and h<8h<8, then d<10d<10.
EIf w≤6w\leq6 and h≤8h\leq8, then d≤10d\leq10.

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