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If a>b>c>d and a,b,c and d are integers, what is the probability that

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If a>b>c>d and a,b,c and d are integers, what is the probability that [#permalink]

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If \(a>b>c>d\) and a,b,c and d are integers, what is the probability that product \(abcd\) is positive?

(1) Only one number is on left side of 0 on the number line.
(2) \(bc\) is positive


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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


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Re: If a>b>c>d and a,b,c and d are integers, what is the probability that [#permalink]

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New post 01 Jan 2018, 09:19
chetan2u wrote:
If \(a>b>c>d\) and a,b,c and d are integers, what is the probability that product \(abcd\) is positive?
1) only one number is on left side of 0 on the number line.
2) \(bc\) is positive


NEW question

to find probability of \(abcd>0\)

Statement 1: From this we know that one number is negative but others can be positive or \(0\). Hence \(abcd\) can be positive or \(0\). Insufficient

Statement 2: Nothing mentioned about \(a\) & \(d\). Insufficient

Combining 1 & 2: we know only 1 number is negative and as \(bc>0\) so both cannot be negative or \(0\). hence \(a>b>c>0\) and \(d<0\).

Therefore \(abcd<0\). Sufficient

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Re: If a>b>c>d and a,b,c and d are integers, what is the probability that [#permalink]

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New post 12 Mar 2018, 02:00
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Hello chetan2u

Does not statement 1 imply that product abcd can be zero (if c equals zero) or negative (if all 3 c, b and a are positive) but never positive? Which would mean that probability of it being positive is zero? And that would make statement 1 alone sufficient?

Thanks for explaining what I might be missing.
Re: If a>b>c>d and a,b,c and d are integers, what is the probability that   [#permalink] 12 Mar 2018, 02:00
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