Find the sum of all whole numbers less than 50 that are multiples of 5 but not multiples of 3.
Answer
135
The correct answer is 135 — Add them: 5+10=15, 15+20=35, 35+25=60, 60+35=95, 95+40=135.
Step-by-step solution
- Identify all multiples of 5 less than 50: 5,10,15,20,25,30,35,40,45.
- Exclude the numbers that are also multiples of 3: 15,30,45.
- Remaining numbers are: 5,10,20,25,35,40.
- Add them: 5+10=15, 15+20=35, 35+25=60, 60+35=95, 95+40=135.
Common mistake: Including multiples of 3 in the sum
Concept tested: Sum of selective multiples
Published · How this solution was prepared and checked
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