Test:209 QNo:2

Fundamental period of : [x]+[2x]+[3x]+[4x]+[5x]-15x is:(where [ ] is greatest integer fn:

2 Answers

Q2 Fundamental period of : [x]+[2x]+[3x]+[4x]+[5x]-15x is:(where [ ] is greatest integer fn:
a) 1
b) 5
c) 15
d) 10

How to proceed?

15x= x + 2x + 3x + 4x + 5x

also FP of x-[x] is 1 (as {x} = x-[x])

so answer is (a) (as LCM of 1,1/2,1/3,1/4,1/5 =1)

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