(1) if the hundreds digit of k + 150 is 4, 400 <= k + 150 < 500
thus 250 <= k < 350
the hundreds digit of k could be 3 or 4 NS
(2) tells us nothing about the hundreds digit NS
(T) according to (2) the remainder when k + 25 is divided by 100 is between 70 and 79 inclusive
Thus the remainder when k is divided by 100 is between 45 and 54 inclusive
k could be any integer from 250 to 254 or any integer from 345 to 349
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three digit integer
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