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Question

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

A
3150
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B
3550
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C
2550
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D
3050
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Solution

The correct option is D 3050
The required sum
= (sum of integers divisible by 2)
+ (sum of integers divisible by 5)
(sum of integers divisible by 10)

=(2+4+6++100) +(5+10+15++100) (10+20+30++100)=502(2+100)+202(5+100)102(10+100)=50×(51)+10×(105)10×(55)=2550+10×(10555)=2550+500=3050


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