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Lulubarbar
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((-2.8)(1.8)-(1.4)(2.4))/105 Updated on: 13 Oct 2019, 18:24
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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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

71% (01:59) correct 29% (02:11) wrong based on 366 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

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

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

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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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((-2.8)(1.8)-(1.4)(2.4))/105 13 Oct 2019, 12:14
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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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((-2.8)(1.8)-(1.4)(2.4))/105 13 Oct 2019, 17:55
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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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((-2.8)(1.8)-(1.4)(2.4))/105 13 Oct 2019, 18:34
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Lulubarbar
\(\frac{((-2.8)(1.8)-(1.4)(2.4))}{105}\)

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

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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
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((-2.8)(1.8)-(1.4)(2.4))/105 01 Apr 2025, 23:38
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