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18 Mar 2026, 19:00
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Difficulty:
15%
(low)
Question Stats:
89% (01:42) correct
11%
(02:38)
wrong
based on 73
sessions
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The arithmetic mean of the even integers from 300 to 500 (both inclusive) is how much greater than the arithmetic mean of the odd integers from 225 to 425 (both inclusive)?
A. 73
B. 74
C. 75
D. 76
E. 77
A. 73
B. 74
C. 75
D. 76
E. 77
18 Mar 2026, 22:28
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since they are symmetrical data sets, Mean = (First term + last term)/2
Solution = (300+500)/2 - (225+425)/2 = 400-325 = 75.
IMO C
Solution = (300+500)/2 - (225+425)/2 = 400-325 = 75.
IMO C
19 Mar 2026, 11:48
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Since even no.s in the range 300 - 500 both inclusive are in arithmetic progression;mean of any A.P is the average of the first & last terms of the series. i.e.
(300+500)/2 = 800/2=400
The odd series is also in AP
Therefore mean = (225+4252)/2 = 325
: . Required ans - 400-325 =75
(300+500)/2 = 800/2=400
The odd series is also in AP
Therefore mean = (225+4252)/2 = 325
: . Required ans - 400-325 =75
