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14 Jun 2012, 02:27
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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:
5%
(low)
Question Stats:
88% (01:10) correct
12%
(01:37)
wrong
based on 3178
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The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
(A) 150
(B) 175
(C) 200
(D) 225
(E) 300
(A) 150
(B) 175
(C) 200
(D) 225
(E) 300
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SOLUTION
The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
(A) 150
(B) 175
(C) 200
(D) 225
(E) 300
The average of the integers from 200 to 400, inclusive is \(\frac{first+last}{2}=\frac{200+400}{2}=300\);
The average of the integers from 50 to 100, inclusive is \(\frac{first+last}{2}=\frac{50+100}{2}=75\);
The difference is \(300-75=225\).
Answer: D.
The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
(A) 150
(B) 175
(C) 200
(D) 225
(E) 300
The average of the integers from 200 to 400, inclusive is \(\frac{first+last}{2}=\frac{200+400}{2}=300\);
The average of the integers from 50 to 100, inclusive is \(\frac{first+last}{2}=\frac{50+100}{2}=75\);
The difference is \(300-75=225\).
Answer: D.
14 Jun 2012, 05:49
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Hi,
This is an easy one (Difficulty level: 600, depending on your approach)
My approach is:
For an AP the mean or average of series is average of first and last term.
So, average of numbers between 200 to 400, inclusive = (200+400)/2 = 300
average of numbers between 50 to 100, inclusive = (50+100)/2 = 75
difference = 300 - 75
= 225
Answer is (D).
Regards,
This is an easy one (Difficulty level: 600, depending on your approach)
My approach is:
For an AP the mean or average of series is average of first and last term.
So, average of numbers between 200 to 400, inclusive = (200+400)/2 = 300
average of numbers between 50 to 100, inclusive = (50+100)/2 = 75
difference = 300 - 75
= 225
Answer is (D).
Regards,
