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
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Answer / chandrarekha
1>=y>x => y belongs to (-infinity,1]
x belongs to (-infinity,y)
if both x and y are negitive z can be greater than zero and
can be greater than y(1 and 4 are true)
if y equals 1 then x can be equal to z(2 is true)
therefore y=z is not true for any value of x and y
| Is This Answer Correct ? | 26 Yes | 3 No |
Answer / 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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