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

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Joined: 13 Oct 2019
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((-2.8)(1.8)-(1.4)(2.4))/105  [#permalink]

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New post Updated on: 13 Oct 2019, 18:24
00:00
A
B
C
D
E

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
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Re: ((-2.8)(1.8)-(1.4)(2.4))/105  [#permalink]

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New post 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.
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Re: ((-2.8)(1.8)-(1.4)(2.4))/105  [#permalink]

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New post 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
Answer B

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Re: ((-2.8)(1.8)-(1.4)(2.4))/105  [#permalink]

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New post 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!
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Re: ((-2.8)(1.8)-(1.4)(2.4))/105  [#permalink]

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


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