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((-1.5)(1.2)-(4.5)(0.4))/30

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((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}\)

(A) -1.2
(B) -0.12
(C) 0
(D) 0.12
(E) 1.2

Problem Solving
Question: 93
Category: Arithmetic Operations on rational numbers
Page: 73
Difficulty: 550


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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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15*12 = 180 Shift two decimal left
45*4 = 180 Shift two decimal left
(- 1.8 - 1.8)/30 = -3.6/30 = -1.2/10 = -0.12

Answer is B
You only need to know that answer will be negative and eliminate C,D,E

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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(-1,5*(1,2+3*0,4))/30 = (-1,5*(1,2+1,2))/30 = (-1,5*2*1,2)/30 = (-3/30)*1,2 = -1/10*1,2 = -0,12. Answer - B

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}\)

(A) -1.2
(B) -0.12
(C) 0
(D) 0.12
(E) 1.2


\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}

=\frac{3((-0.5)(1.2)-(1.5)(0.4))}{30}

=\frac{(-6-6)}{10}

=\frac{-12}{10}

=-0.12\)

Answer: (B)

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 21 Mar 2014, 00:47
arunspanda wrote:
\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}\)

(A) -1.2
(B) -0.12
(C) 0
(D) 0.12
(E) 1.2


\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}

=\frac{3((-0.5)(1.2)-(1.5)(0.4))}{30}

=\frac{(-6-6)}{10}

=\frac{-12}{10}


=-0.12\)[/b][/color]

Answer: (B)



= \(\frac{(-0.6-0.6)}{10}\)

= \(\frac{-1.2}{10}\)

= -0.12

Answer: (B)
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((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 20 May 2014, 09:56
to speed up we can also convert decimals to fractions. my answer is B
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Re: 5)(1.2)-(4.5)(0.4) 30 equals? a) [#permalink]

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New post 20 May 2014, 10:29
Its an easy one ..

[(-1.5)(1.2)-(4.5)(0.4)]/30

= [-1.8-1.8]/30

= -3.6/30

=-0.12

Hence B
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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 06 Jun 2014, 18:20
This could be done by changing the decimals into fractions
(-15/10)(12/10)=-18/10
(45/10)(4/10)=18/10
(-18/10)-(18/10)=-36/10
(-36/10)/30= -0.12
hence B

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 13 May 2015, 08:55
-1.8 - 1.8 /30 = -3.6/30 =-0.12
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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}\)

(A) -1.2
(B) -0.12
(C) 0
(D) 0.12
(E) 1.2



As always, scan the answers BEFORE solving the question.
Here, the answer choices are VERY SPREAD APART, so we can be very aggressive with our estimation.
[(-1.5)(1.2) - (4.5)(0.4)]/30 ≈ [(-2)(1) - (4)(0.5)]/30
≈ [-2 - 2]/30
≈ [-4]/30

The closest answer is
[Reveal] Spoiler:
B



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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 27 Oct 2016, 11:02
[(-9/5)-(9/5)]/30 = -3/25 ~ -0.12

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 26 Dec 2016, 03:04
My strategy is to convert fractions in decimal (1,5 =3/2; 1,2=6/5; 4,5=9/2; 0,4=2/5) thus:
[(-3/2 * 6/5) - (9/2 * 2/5)] /30
(-9/5 - 9/5) /30
(-18/5)/30
-6/50 =-0,12
hence B

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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 27 Jun 2017, 03:16
Looked Damn simple but had to do some work to get to the right answer! A lesson on not being overconfident :)

Given = \(\frac{(-1.5)(1.2)-(4.5)(0.4)}{30}\)

= \(\frac{-1.5*0.4*(3+3)}{30}\) <----- Taking the common factors

= \(\frac{-1.5 * 0.4 * 6}{30}\)

= \(\frac{-1.5 * 0.4}{5}\)

= \(-3 * 0.4\)

= \(-0.12\)

Answer choice B
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Re: ((-1.5)(1.2)-(4.5)(0.4))/30 [#permalink]

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New post 22 Aug 2017, 13:05
The key to this problem is remembering Principles of Arithmetic and order of operations.
Parenthesis are first. Resolve everything in the numerator before dividing by the denominator. Also, remember that subtracting a positive from a negative number is the same as subtracting in that (-) - (+) = (-) or moving left on the number line.

Answer is (B) -0.12
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Re: ((-1.5)(1.2)-(4.5)(0.4))/30   [#permalink] 22 Aug 2017, 13:05
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