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02 Jul 2020, 02:05
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:59) correct
24%
(02:04)
wrong
based on 68
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Benjamin’s average (arithmetic mean) on the six biology tests he took last semester was 89. On each of his first five tests, his grade was between 90 and 100, inclusive. Which of the following could have been his grade on his sixth test?
I. 35
II. 65
III. 75
(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II, and III
I. 35
II. 65
III. 75
(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II, and III
02 Jul 2020, 02:39
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\(Sum = Average \times \)#(observations)
\(Sum = 89 \times 6 = 534\)
Now, we need to minimum value and the maximum value of the 6th test.
\(Min = 534 - 100 \times 5 = 534 - 500 = 34\)
\(Max = 534 - 90 \times 5 = 534 - 450 = 84\)
OA, E
\(Sum = 89 \times 6 = 534\)
Now, we need to minimum value and the maximum value of the 6th test.
\(Min = 534 - 100 \times 5 = 534 - 500 = 34\)
\(Max = 534 - 90 \times 5 = 534 - 450 = 84\)
OA, E
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02 Jul 2020, 03:33
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Total of six subjects= 89*6 = 534
Highest marks in sixth subject can be obtain is when he scored lowest in rest 5 subjects.
Lowest marks of 5subjects = 90*5 = 450
So highest mark that Benjamin can obtain is 534-450 = 84
Lowest marks in sixth subject can be obtain is when he scored highest in rest 5 subjects.
Highest marks of 5subjects = 100*5 = 500
So lowest mark that Benjamin can obtain is 534-500 = 34
So marks bracket lie within the range of 84≥M≥34
All 3 values lies in the following bracket.
Hence answer is E
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Highest marks in sixth subject can be obtain is when he scored lowest in rest 5 subjects.
Lowest marks of 5subjects = 90*5 = 450
So highest mark that Benjamin can obtain is 534-450 = 84
Lowest marks in sixth subject can be obtain is when he scored highest in rest 5 subjects.
Highest marks of 5subjects = 100*5 = 500
So lowest mark that Benjamin can obtain is 534-500 = 34
So marks bracket lie within the range of 84≥M≥34
All 3 values lies in the following bracket.
Hence answer is E
Posted from my mobile device
