ariellelouise wrote:
If ⌈n⌉ denotes the least integer greater than or equal to n and ⌈n/2 - n/3⌉= -1 which of the following could be the value of n ?
A) -10
B) - 5
C) 5
D) 10
E) 15
For your solution...
Simplify the term..⌈\(\frac{n}{2} - \frac{n}{3}\)⌉= -1......[\(\frac{n}{6}\)]=-1
As ⌈n⌉ denotes the least integer greater than or equal to n, \(\frac{n}{6}\leq{-1}.....n\leq{-6}\)
Only A possible..
You could also substitute value of n from choices
[\(\frac{n}{6}\)]=-1
A) -10......[\(\frac{n}{6}\)]=[\(\frac{-10}{6}\)]=-1.67..Immediate greater integer = -1..YES
B) - 5......[\(\frac{n}{6}\)]=[\(\frac{-5}{6}\)]=-0.8..Immediate greater integer = \(0\neq{-1}\)
C) 5......[\(\frac{n}{6}\)]=[\(\frac{5}{6}\)]=0.8..Immediate greater integer = \(1\neq{-1}\)
D) 10......[\(\frac{n}{6}\)]=[\(\frac{10}{6}\)]=1.67..Immediate greater integer = \(2\neq{-1}\)
E) 15......[\(\frac{n}{6}\)]=[\(\frac{15}{6}\)]=2.5..Immediate greater integer = \(3\neq{-1}\)
A
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