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State 2 not given any info regarding y and zsanju09 wrote:IMO B
(1) x + y = z makes x = z - y, hence mod (x) = mod (z - y), which could be equal to y - z regardless what sign is x with, only if y > z. This is because an absolute value is non-negative; and since we know nothing about y and z, hence insufficient.
(2) reads x < 0, this means that z - y < 0; and this makes us believe that 'yes', mod (x) = y - z. So (2) alone is sufficient, hence B.
sanju09 wrote:IMO C
(1) x + y = z makes x = z - y, hence mod (x) = mod (z - y), which could be equal to y - z regardless what sign is x with, only if y > z. This is because an absolute value is non-negative; and since we know nothing about y and z, hence insufficient.
(2) reads x < 0, insufficient for the same reasons as given in (1).
(1) & (2) means that z - y < 0; and this makes us believe that 'yes', mod (x) = y - z, hence C.
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