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18 May 2020, 09:10
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Chethan92
I have some doubts toward the definition of “sufficient & insufficient”, at first I thought “sufficient” indicate that we could, by using the information given, infer whether each guest can have at least one slice”, or say, whether statement (1)/(2) is sufficient or not to make the question be inferable
It seems everyone agree on this ---“not enough for each 30 guest to have one pie” equal “insufficient”, I’m not sure whether there are some blind spots in my thinking to the definition of sufficient/ insufficient, if (1) is inferable then shouldn’t that this statement be sufficient to infer whether 30 guests could all get their pie?hopes someone could shed light on this, thanks
03 Aug 2020, 11:37
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30 slices required
8 slices per pizza
So we need at least 4 pizzas
(1) 5<2x<12
2.5<x<6
when x=2.6, ⌈x⌉=3, NOT ENOUGH PIZZA
when x=3, ⌈x⌉=4, YES ENOUGH PIZZA
Insufficient
(2) x=3,6,9,....
when x=3, ⌈x⌉=4, YES ENOUGH PIZZA
when x=6, ⌈x⌉=7, YES ENOUGH PIZZA
Sufficient
Answer: B
8 slices per pizza
So we need at least 4 pizzas
(1) 5<2x<12
2.5<x<6
when x=2.6, ⌈x⌉=3, NOT ENOUGH PIZZA
when x=3, ⌈x⌉=4, YES ENOUGH PIZZA
Insufficient
(2) x=3,6,9,....
when x=3, ⌈x⌉=4, YES ENOUGH PIZZA
when x=6, ⌈x⌉=7, YES ENOUGH PIZZA
Sufficient
Answer: B
03 Aug 2020, 12:20
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AbhishekDhanraJ72
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
