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# ((-2.8)(1.8)-(1.4)(2.4))/105

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Intern
Joined: 13 Oct 2019
Posts: 1

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Updated on: 13 Oct 2019, 18:24
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:57) correct 32% (02:15) wrong based on 38 sessions

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$$\frac{((-2.8)(1.8)-(1.4)(2.4))}{105}$$

A : -0.008
B: -0.08
C: -0.8
D: 0.8
E: 8.0

Posted from my mobile device

Originally posted by Lulubarbar on 13 Oct 2019, 11:20.
Last edited by chetan2u on 13 Oct 2019, 18:24, edited 1 time in total.
formatted the Q
Senior Manager
Joined: 10 Apr 2018
Posts: 279
Location: India
Concentration: General Management, Operations
GMAT 1: 680 Q48 V34
GPA: 3.3

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13 Oct 2019, 11:53
Lulubarbar wrote:
((-2.8)(1.8)-(1.4)(2.4))/105

A : -0.008
B: -0.08
C: -0.8
D: 0.8
E: 8.0

Posted from my mobile device

By taking approximations, we can re-write the expression as ((-3)(2)-(1)(2))/105,
or, -6-2/105=-8/105=-0.0762~-0.08

Therefore, the correct answer is option B.
Senior Manager
Joined: 20 Mar 2018
Posts: 402
Location: Ghana
Concentration: Finance, Real Estate

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13 Oct 2019, 12:14
Just multiply the numerator and denominator by 100

100((-2.8)(1.8)- (1.4)(2.4))/100(105)
((-28)(18) - (14)(24))/100(105)

Double and halve them to work with manageable numbers ,also noticed 105 is divisible by 3

((-56)(9) - (7)(48))/100(3•5•7)
(-504-336)/100(3•5•7)
-840/100(3•5•7) —> -84/21•5•10
-8/100 —> -0.08

Posted from my mobile device
Senior Manager
Joined: 15 Feb 2018
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13 Oct 2019, 17:55
1
https://gmatclub.com/forum/rules-for-po ... 33935.html

Point 3
3. Give a Topic Name (IMPORTANT).

- Use the first sentence of the question or a string of words exactly as they show up in the question. You get 40 characters. Use them all to help with the search & similar topics feature!
Math Expert
Joined: 02 Aug 2009
Posts: 8199

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13 Oct 2019, 18:34
Lulubarbar wrote:
$$\frac{((-2.8)(1.8)-(1.4)(2.4))}{105}$$

A : -0.008
B: -0.08
C: -0.8
D: 0.8
E: 8.0

Posted from my mobile device

We know for sure that the answer is NEGATIVE and something in 8, only requirement is to know the decimals..
Now the numerator will be close to 8 and the denominatoe has a 100, which will lead to TWO decimal places.. so answer = -0.08

OR
Factorize
$$\frac{((-2.8)(1.8)-(1.4)(2.4))}{105}$$=$$\frac{((-28)(18)-(14)(24))}{10500}=\frac{-(4*7*3*3*2+2*7*4*3*2)}{5*7*3*100}=\frac{-(4*7*3*2)(3+2)}{5*7*3*100}=\frac{-(4*7*3*2*5)}{7*3*5*100}=\frac{-8}{100}=-0.08$$

B
_________________
Re: ((-2.8)(1.8)-(1.4)(2.4))/105   [#permalink] 13 Oct 2019, 18:34
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