Carcass wrote:

Which one of the following choices does not equal any of the other choices?

(A) 5.43 + 4.63 – 3.24 – 2.32

(B) 5.53 + 4.73 – 3.34 – 2.42

(C) 5.53 + 4.53 – 3.34 – 2.22

(D) 5.43 + 4.73 – 3.24 – 2.42

(E) 5.43 + 4.73 – 3.14 – 2.22

Here's one approach:

First, ignore the decimals to get:

(A) 543 + 463 – 324 – 232

(B) 553 + 473 – 334 – 242

(C) 553 + 453 – 334 – 222

(D) 543 + 473 – 324 – 242

(E) 543 + 473 – 314 – 222

Subtract 543 from all expressions to get:

(A) 0 + 463 – 324 – 232

(B) 10 + 473 – 334 – 242

(C) 10 + 453 – 334 – 222

(D) 0 + 473 – 324 – 242

(E) 0 + 473 – 314 – 222

Subtract 453 from all expressions to get:

(A) 0 + 10 – 324 – 232

(B) 10 + 20 – 334 – 242

(C) 10 + 0 – 334 – 222

(D) 0 + 20 – 324 – 242

(E) 0 + 20 – 314 – 222

Add 334 to all expressions to get:

(A) 0 + 10 + 10 – 232

(B) 10 + 20 + 0 – 242

(C) 10 + 0 + 0 – 222

(D) 0 + 20 + 10 – 242

(E) 0 + 20 + 20 – 222

Add 242 to all expressions to get:

(A) 0 + 10 + 10 + 10

(B) 10 + 20 + 0 + 0

(C) 10 + 0 + 0 + 20

(D) 0 + 20 + 10 + 0

(E) 0 + 20 + 20 + 20

At this point, we can see that the correct answer is E

ASIDE: The above calculations could be performed in one step (to speed things up)

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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