AbhishekDhanraJ72
XavierAlexander
Julie wants to be sure that she has enough pies for each of her 30 guests to have at least one slice. One pie can be divided into eight slices. If \(⌈x⌉\)represents the least integer greater than \(x\), and \(x\) is greater than \(0\), will \(⌈x⌉\) pies be enough for each guest to have at least one slice?
(1) \(5 < 2x < 12\)
(2) \(x\) is a multiple of \(3\)
if [x] represents the least integer greater than x is [3] then means x=4 ???
Here, ⌈x⌉ represents the number of pies (x is not the number of pies).
From 1: 5 < 2x < 12 => 2.5 < x < 6
=> 3 < ⌈x⌉ < 6
Note: ⌈x⌉ is the least integer GREATER THAN x (not the usual - greater than or equal to x)
The value of ⌈x⌉ could be:
x = 2.6 => ⌈x⌉ = 3 - not enough pies
x = 3 => ⌈x⌉ = 4 - enough pies
x = 3.4 => ⌈x⌉ = 4
x = 4 => ⌈x⌉ = 5
x = 4.2 => ⌈x⌉ = 5
x = 5 => ⌈x⌉ = 6
x = 5.6 => ⌈x⌉ = 6
Since each pie can be divided in 8 pieces, we need at least 4 pies (4 x 8 = 32 pieces) for 30 people (3 pies would give only 24 pieces - falls short)
Thus, the above statement is NOT SUFFICIENT
From 2: x is a positive integer and a multiple of 3
=> Minimum value of x = 3
=> ⌈x⌉ = 4 - enough pies
Thus, the above statement is SUFFICIENT
Answer B