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05 Sep 2019, 03:48
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D
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86% (01:03) correct
14%
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What is the sum of all even integers between 30 and 50, inclusive?
A. 640
B. 540
C. 480
D. 440
E. 240
A. 640
B. 540
C. 480
D. 440
E. 240
05 Sep 2019, 07:12
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Bunuel
What is the sum of all even integers between 30 and 50, inclusive?
A. 640
B. 540
C. 480
D. 440
E. 240
A. 640
B. 540
C. 480
D. 440
E. 240
sum of even intgers 0-50; 50*52/4 ; 650
and sum of even integers 0-28 ; 28*30/4 ; 210
so ∆ ; 650-210 ; 440 sum of even integers 30 to 50
IMO D
greenisthecolor
05 Sep 2019, 07:39
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Sum = Average * Number of integers
Number of even integers = Number of integers divisible by 2 = \(\frac{50-30}{2}+1\) = 11
Average = \(\frac{50+30}{2}+1\) = 40
Sum = 40 * 11 = 440. (D)
Number of even integers = Number of integers divisible by 2 = \(\frac{50-30}{2}+1\) = 11
Average = \(\frac{50+30}{2}+1\) = 40
Sum = 40 * 11 = 440. (D)
