BTGModeratorVI wrote: ↑Tue Dec 15, 2020 7:01 am
A certain store sells only records and CD's. All CD's cost $7.82, including tax, and all records cost $4.18, including tax. Yesterday, did John buy more than 5 records at this store?
(1) Yesterday, John spent less than $25 at the store.
(2) Yesterday, John bought at least one CD at the store.
Answer:
A
Source Veritas Prep
Target question: Did John buy more than 5 records ?
Given: CD's cost $7.82, and records cost $4.18
Statement 1: Yesterday, John spent less than $25 at the store.
Notice that it costs $25.08 to buy 6 records, since (6)($4.18) = $25.08
So, if John spent less than $25, it is impossible for him to buy 6 or more records.
In other words,
John did NOT buy more than 5 records
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: Yesterday, John bought at least one CD at the store
Since there's no information restricting the number of purchases John made, we can see that statement 2 is NOT SUFFICIENT.
For example, here are two possible cases:
Case a: John bought 1 CD and 0 records. So,
John did NOT buy more than 5 records
Case b: John bought 1 CD and 10 records. So,
John DID buy more than 5 records
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer = A
Cheers,
Brent
