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

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Which one of the following choices does not equal any of the [#permalink] New post 21 Apr 2018, 03:26
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Question Stats:

46% (01:16) correct 53% (02:46) wrong based on 13 sessions
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
[Reveal] Spoiler: OA

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Re: Which one of the following choices does not equal any of the [#permalink] New post 08 May 2018, 03:42
Hi there is there any shortcut to solve this question.
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Re: Which one of the following choices does not equal any of the [#permalink] New post 10 Mar 2019, 13:22
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probably the only shortcut you do have here is the following.

Take two answers among the five you have and DO NOT calculate them but observe.

Take first B and C because they have the first term identical

(B) 5.53 + 4.73 – 3.34 – 2.42
(C) 5.53 + 4.53 – 3.34 – 2.22

Now

(B) 5.53 + 4.73 – 3.34 – 2.42
(C) 5.53 + 4.53 – 3.34 – 2.22


The term 5.53 and 3.34 are identical in both answers and on the + and - side. So you can cancel out. Now you do have in B 4.73 and 4.53 In C on the + side and the difference is 20 in +. Then you do have 2.42 and 2.22 and the difference is 20 on the - side. So the two answers balance each other, so indeed they are equal.

Do the same process with A and D. They are equal.

E is the answer.

Hope this helps.

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Re: Which one of the following choices does not equal any of the [#permalink] New post 11 Mar 2019, 10:44
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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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Re: Which one of the following choices does not equal any of the   [#permalink] 11 Mar 2019, 10:44
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