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List A = 0, 1, 2, 3, 4, 6 List B = 3, 6, 8, 9 Two numbers are randomly
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21 Aug 2023, 03:51
21 Aug 2023, 03:51
Expert Reply
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Question Stats:
71% (02:21) correct
28% (03:26) wrong based on 7 sessions
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List A = 0, 1, 2, 3, 4, 6
List B = 3, 6, 8, 9
Two numbers are randomly selected from the above lists, one is from List A and another from List B. What is the probability that the product of these two numbers is divisible by 9?
A. 1/5
B. 2/5
C. 13/24
D. 4/5
E. 1
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List B = 3, 6, 8, 9
Two numbers are randomly selected from the above lists, one is from List A and another from List B. What is the probability that the product of these two numbers is divisible by 9?
A. 1/5
B. 2/5
C. 13/24
D. 4/5
E. 1
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: List A = 0, 1, 2, 3, 4, 6 List B = 3, 6, 8, 9 Two numbers are randomly
[#permalink]
11 Sep 2023, 02:12
11 Sep 2023, 02:12
1
Hi,
What's the fastest way to solve for the numerator of this.
I understand the denominator is 6C1×4C1. But the numerator is somewhat time consuming
Posted from my mobile device
What's the fastest way to solve for the numerator of this.
I understand the denominator is 6C1×4C1. But the numerator is somewhat time consuming
Posted from my mobile device
List A = 0, 1, 2, 3, 4, 6 List B = 3, 6, 8, 9 Two numbers are randomly
[#permalink]
11 Sep 2023, 02:50
11 Sep 2023, 02:50
1
Expert Reply
For the denominator, you have to pick 1 number among 4 and 1 among 6
For the numerator in this kind of question is just a matter of counting manually. It is even faster instead of staying there and figure it out with a formula.
List A = 0, 1, 2, 3, 4, 6
List B = 3, 6, 8, 9
1) start from 0
3-6-8-9 all divisible by 9 once multiplied
2) with 1 we have only 1 case: 9
3) with 2 only 1:18
4) with 3 only 3:9,18,27
5) with 4 only 1:9
6) with 6 we have 3: 18,36,54
Totally 13
13/6*4=13/24
C
For the numerator in this kind of question is just a matter of counting manually. It is even faster instead of staying there and figure it out with a formula.
List A = 0, 1, 2, 3, 4, 6
List B = 3, 6, 8, 9
1) start from 0
3-6-8-9 all divisible by 9 once multiplied
2) with 1 we have only 1 case: 9
3) with 2 only 1:18
4) with 3 only 3:9,18,27
5) with 4 only 1:9
6) with 6 we have 3: 18,36,54
Totally 13
13/6*4=13/24
C
