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17 Dec 2017, 05:54
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
46% (01:50) correct
54%
(01:57)
wrong
based on 241
sessions
History
Date
Time
Result
Not Attempted Yet
If Jack buys 5 pieces of three different items priced $20, $80 and $100, does he buy at least one piece of each item?
(1) Three of 5 pieces are priced at $100 each.
(2) Average cost of 5 pieces is greater than $80.
self made
(1) Three of 5 pieces are priced at $100 each.
(2) Average cost of 5 pieces is greater than $80.
self made
17 Dec 2017, 06:11
Kudos
Bookmarks
chetan2u
(1) Three of 5 pieces are priced at $100 each.
It can be 3 $100 and 2 items of $20 & $800 Gives Yes
It can be all 5 $100 Gives No
(2) Average cost of 5 pieces is greater than $85.
It says total cost is more than 425
It can be 3 $100 and 2 items of $20 & $800 Gives Yes
It can be all 5 $100 Gives No
Combining both doesn't give any info
Hence E
17 Dec 2017, 06:11
Kudos
Bookmarks
chetan2u
Statement 1: other two items can be priced at $80 each or one can be of $20 & the other of $80. Insufficient
Statement 2: \(Average >80 =>\) total price\(>400\)
Now if all three items are bought then cost of 3 items will be \(=20+80+100=200\)
so the total cost of remaining two items has to be at least 201. But maximum cost of any item is 100, hence we can reach only upto 200, resulting in total cost of 400. But we know total price >400
Hence all three items were not bought. Sufficient
Option B
