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11 Mar 2026, 15:18
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
42% (02:23) correct
58%
(02:49)
wrong
based on 60
sessions
History
Date
Time
Result
Not Attempted Yet
Jerome bought 12 T-shirts for his shop. Premium shirts cost $13 each, while regular shirts cost $3 less. Jerome bought at least two of each type, and no sales tax was applied.
Did Jerome buy more than 6 premium shirts?
(1) Jerome paid for the shirts using only $10 bills, and no change was due.
(2) If Jerome had bought 7 premium shirts and 5 regular shirts, he would have saved at least $5.
Did Jerome buy more than 6 premium shirts?
(1) Jerome paid for the shirts using only $10 bills, and no change was due.
(2) If Jerome had bought 7 premium shirts and 5 regular shirts, he would have saved at least $5.
12 Mar 2026, 01:47
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kevincan
Total T shirts =12
The t shirts can be either Regular and Premium.
The price of the Premium t shirt is $13. The quantity be a.
The price of the regular t shirt is $10. The quantity be (12-a).
The quantity of premium as well as regular tshirt is greater than or equal to 2.
Total Cost = 13*a + 10 * (12-a) = 3a + 120.
We need to find: Is a>6 ?
Statement 1:
Jerome paid for the shirts using only $10 bills, and no change was due.
3a + 120 = 10 k
120 is a factor of 10.
For, 3a to be a factor of 10. a should be a multiple of 10.
Only multiple of a , that’s less than 12 is 10.
Hence, Sufficient
Statement 2:
If Jerome had bought 7 premium shirts and 5 regular shirts, he would have saved at least $5.
Buying 7 premium and 5 regular shirts = 7*13 + 5*10 = $141.
Saved amount is ATLEAST $5.
so, he spent at least $146.
3a + 120 > = 146
3a > 26
a > 8.xx
There fore, Sufficient
Hence, Option D
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