1.

Find the sum ofintegers from 1 to 100 that are divisible by 2 or 5.

Answer» Required sum
= ( sim of integers from 1 to 100, dividisble by 2)
+ ( sum of intergers from 1 to 100 , divisible by 5)
- ( sum of intergers from 1 to 100, divisible by 10)
( 2 + 4+ 6+ ……+ 100) + ( 5+ 10+ 15 + ……+ 100) - ( 10+20+30+.......+ 100)
` 50/2 ( 2+100) + 20/2 ( 5 + 105) - 10/2 ( 10+100) `
= ( 2550 + 1050 - 550) = 3050


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