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If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x+y?

(1) x < 500 (2) y < 400

A very gripping one
from the stem statement, we can conclude that x>=450 ( because if x, for example, = 449---> the multiple of 100 that is closest to x is 400), similarly we can conclude that y>=350
---> x+y>=800

451 <= x <= 550 351 <= y <= 450 --------------- 802 <= x+y <= 1000

( statement 1) x < 500

451 <= x < 500 351 <= y <= 450 --------------------- 802 <= x+y < 950

( statement 2) y < 400

451 <= x <= 550 351 <= y < 400 --------------------- 802 <= x+y < 950

So my guess is D.

btw, just a small comment:
I think x is not nescessarily >=451 ....it can be>= 450.00000000000000000........1 coz the stem statement doesn't say that x is an integer . Similar to y.. A little change doesn't do harm to the whole reasoning process anyway

451 <= x <= 550 351 <= y <= 450 --------------- 802 <= x+y <= 1000

( statement 1) x < 500

451 <= x < 500 351 <= y <= 450 --------------------- 802 <= x+y < 950

( statement 2) y < 400

451 <= x <= 550 351 <= y < 400 --------------------- 802 <= x+y < 950

So my guess is D.

btw, just a small comment: I think x is not nescessarily >=451 ....it can be>= 450.00000000000000000........1 coz the stem statement doesn't say that x is an integer . Similar to y.. A little change doesn't do harm to the whole reasoning process anyway

True, true.
Deep insight!

If we want to get 51, it's very important not to take for granted that those numbers are integers. _________________