siddhantvarma
A group of six employees, including Lisa, participated in a weekly coding contest. Lisa resolved 30 bugs, and each of her colleagues resolved at least one bug. Did Lisa resolve more bugs than at least three of her colleagues?
(1) The median number of bugs resolved by Lisa's five colleagues is 28.
(2) The average (arithmetic mean) number of bugs resolved by Lisa's five colleagues is 18.
(1) The median number of bugs resolved by Lisa's five colleagues is 28Let the # of bugs resolved by the \(5\) colleagues be as shown below, arranged in ascending order.
\(28,28,28,31,32 \)
It can clearly be seen, that Lisa's \(30 \) bugs will always be more than first, second and third collegues.
SUFF.
(2) The average (arithmetic mean) number of bugs resolved by Lisa's five colleagues is 18Thus the total of the \(5\) colleagues is \(90 \)
If we want a NO to the stem, then at least \(3 \) colleagues should get at least \(30.\)
If \(3\) colleagues get at least \(30\) then that leaves nothing for the other two colleagues. As total of \(90\) is already obtained.
Thus it is not possible to get a NO to the stem.
Hence we can answer
YES to the stem.
SUFF.Ans D
Hope it helped.