DIRECTIONS for the question:Solve the following question and mark the best possible option.
A chart consists of numbers from 1 to 360. What is the sum of all the numbers remained on the chart after removing all the multiples of 2, multiples of 3 and multiples of 5?
A)
29876
B)
17280
C)
34560
D)
51840
E)
69120
B
Sum of 360 natural numbers = (360*361)/2 = 64980
Multiples of 2; 2+4+6..................360
2(1+2+3..................180) = 32580
Remaining sum, 64980-32580 = 32400
We further have to remove the unique(not common with 2), multiples of 3 and 5, we can safely approximate the answers to be 17,280.
