tmua.me Medium Set F Paper 2 · Question 19

tmua.me papers

tmua.me Medium Set F Paper 2 · Q19

Paper 2Logic & proofStatisticsSequences & series

Four distinct real numbers $a,b,c,d$ satisfy

a+b+c+d=0,\qquad a^3+b^3+c^3+d^3=0.

Which of the following statements must be true?

I. The median of the four numbers is $0$ .
II. The product $abcd$ is positive.
III. When written in increasing order, the four numbers form an arithmetic progression.

Anone of them

BI only

CII only

DIII only

EI and II only

FI and III only

GII and III only

HI, II and III

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