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If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4

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If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4  [#permalink]

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New post 15 Sep 2018, 03:41
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

96% (00:45) correct 4% (00:30) wrong based on 51 sessions

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If \(|\frac{a}{c} \frac{b}{d}|=ad-bc\) for all numbers, a, b, c, and d, then \(|\frac{3}{-2} \frac{5}{4}|=ad-bc\)


A. -22

B. -2

C. 2

D. 7

E. 22
Spoiler: OA

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Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4  [#permalink]

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New post 15 Sep 2018, 04:53
1
Bunuel wrote:
If \(|\frac{a}{c} \frac{b}{d}|=ad-bc\) for all numbers, a, b, c, and d, then \(|\frac{3}{-2} \frac{5}{4}|=ad-bc\)


A. -22

B. -2

C. 2

D. 7

E. 22


\(|\frac{a}{c} \frac{b}{d}|=ad-bc\) =\(|\frac{3}{-2} \frac{5}{4}|=3*4-5*(-2)=12+10=22\)

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4   [#permalink] 15 Sep 2018, 04:53
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