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14 Jun 2017, 06:52
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A
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If the sum of a, b, and c is less than five, is a less than one?
(1) b + c – 1 > 5
(2) a < b + c – 1
(1) b + c – 1 > 5
(2) a < b + c – 1
14 Jun 2017, 08:28
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Bunuel
If the sum of a, b, and c is less than five, is a less than one?
(1) b + c – 1 > 5
(2) a < b + c – 1
(1) b + c – 1 > 5
(2) a < b + c – 1
(1) a+b+c < 5 ------(m)
and b + c – 1 > 5-----(n)
subtract (m) & ( n)
a<-1
suff
(2) a+b+c < 5 ------(m)
a < b + c – 1------(x)
add (m) & (x)
a<2
not suff
Ans A
15 Jun 2017, 16:25
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Bunuel
If the sum of a, b, and c is less than five, is a less than one?
(1) b + c – 1 > 5
(2) a < b + c – 1
(1) b + c – 1 > 5
(2) a < b + c – 1
a+b+c < 5 ----- eq 1
Statement 1 :
b+c-1 > 5
b+c > 4 ------ eq 2
using eq 2 in eq 1. let's say b+c = 5 [derived from eq 2 ]. To satisfy eq 1 a has to -ve number.
Hence statement 1 : Sufficient
Statement 2 :
a < b + c – 1
a < (5-a) -1 [ From eq 1 b+c < 5 -a ]
a< 4 -a
2a < 4
a< 2
Hence statement 2 : Insufficient
IMO : Option A
