Home
Class 12
MATHS
If 0<x<1000 and [x/2] +[x/3] + [x/5] = (...

If 0

Text Solution

Verified by Experts

x=[x]+{x}
[x]=x-{x}
`[x/2]+[x/3]+[x/5]=(31x)/30`
`x/2-{x/2}+x/3-{x/3}+x/5-{x/5}=(31x)/30`
`x/2+x/3+x/5-[(x/2)+(x/3)+(x/5)]=(31x)/30`
`(3x)/30=t`
`t=0`
x is multiple of 2,3,5
...
Promotional Banner

Similar Questions

Explore conceptually related problems

If A={:[(0,0,0),(0,0,0),(1,0,0)]:} , then

If A=[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)] then (A) A^2=I (B) A^2=0 (C) A^3=0 (D) none of these

If A=[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)] then (A) A^2=I (B) A^2=0 (C) A^3=0 (D) none of these

If A=[[a,0,0] , [0,a,0] , [0,0,a]] then |adj A|=

If A=[{:(a,0,0),(0,a,0),(0,0,a):}] then |adjA| = …….

If A={:[(a,0,0),(0,a,0),(0,0,a)],:}" then: "|A|*|adj.A|=

If A={:[(a,0,0),(0,a,0),(0,0,a)],:}" then: "|A|*|adj.A|=