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18 Sep 2025, 00:00
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If Dave’s average (arithmetic mean) score on three tests was 74, what was his lowest score?
(1) Dave’s highest score was 82.
(2) The sum of Dave’s two highest scores was 162.
(1) Dave’s highest score was 82.
(2) The sum of Dave’s two highest scores was 162.
18 Sep 2025, 00:43
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Let 3 numbers be L, M and H.
Total = 3×74=222
(1)
H=82
L+M=140
L and M can have many possibilities ⇒ insufficient.
(2)
M+H=162
So, L=222−162=60 — sufficient.
Total = 3×74=222
(1)
H=82
L+M=140
L and M can have many possibilities ⇒ insufficient.
(2)
M+H=162
So, L=222−162=60 — sufficient.
Bunuel
18 Sep 2025, 09:09
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Highest score= A and lowest score = C
To find : C=?
(A+B+C)/3=74
A+B+C=74*3=222
(1) A=82
B+C=222-82=140
Insufficient
(2) A+B=162
C=222-(A+B)=222-162=60
Sufficient
B
To find : C=?
(A+B+C)/3=74
A+B+C=74*3=222
(1) A=82
B+C=222-82=140
Insufficient
(2) A+B=162
C=222-(A+B)=222-162=60
Sufficient
B
