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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The sum of the numbers from 1 to 100 which are not divisible by 3 and 5 is:
Solution
Total sum: $S = \dfrac{100 \cdot 101}{2} = 5050$Sum of multiples of 3 ≤100:
$3 + 6 + \ldots + 99 = 1683$
Sum of multiples of 5 ≤100:
$5 + \ldots + 100 = 1050$
Sum of multiples of 15 ≤100:
$15 + \ldots + 90 = 315$
Numbers divisible by 3 or 5:
$1683 + 1050 - 315 = 2418$
Required sum:
$5050 - 2418 = 2632$
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