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The following question asked at Infosys campus recruitment
held at Pragathi.
If 1>= y > x and xy=z.which of the following is not true?
i)z>0
ii)x=z
iii)y=z
iv)z>y

Answer Posted / pushpkant

Given that x<y<=1 :
(x is less than y and xy=z)

consider -inf -------------- 0 ---- 1 ---------- +inf

case i- y<0 then x<0 --> xy>0 --> z>0 --> choice i is true

case ii- y=0 yhen x<0 --> xy=0 --> z=0 --> z=y --> choice
iii is also true

case iii - y belongs to (0,1)and x=0 then
xy=0 --> z=0 --> z=x --> choice ii is also true

case iv- y belongs to (0,1) and x<y,(x!=0) then
xy<0 --> z<0 --> choise iv is not true

Is This Answer Correct ?    2 Yes 2 No



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