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Intern
Joined: 20 Jun 2021
Posts: 21
Given Kudos: 152
WE:Manufacturing and Production (Manufacturing)
If a and b are both integers and
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15 Sep 2021, 14:22
15 Sep 2021, 14:22
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Question Stats:
25% (02:15) correct
75% (02:22) wrong based on 4 sessions
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If a and b are both integers \(\frac{a}{b}=34.06\) and what is the probability that the remainder of \(\frac{a}{b}\) is a multiple of 6?
a. 0.3
b. 0.45
c. 0.5
d. 1
e. 0.66
a. 0.3
b. 0.45
c. 0.5
d. 1
e. 0.66
Re: If a and b are both integers and
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15 Sep 2021, 17:18
15 Sep 2021, 17:18
1
Starting with smallest integers for a and b that gives 34.06, 1703/50, in which reminder is 3, and next 3406/100 and reminder is 6 and so on.
so 1/2 the times the reminder is a multiple of 6.
So Answer is 1/2 or 0.5
so 1/2 the times the reminder is a multiple of 6.
So Answer is 1/2 or 0.5
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
If a and b are both integers and
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15 Sep 2021, 18:38
15 Sep 2021, 18:38
1
To start think about \(a/b=34.06\) as given OR fixed data. Then, we have many possibilities to express this as a fraction, namely, \(3406/1000\) OR \(1703/50\) OR \((1703*3)/(50*3)\). In general, we are interested only in one out of two options for the remainder with the given fraction, and this is when we multiply both numerator and denominator by the even number. Hence, out of two options of coefficients (multipliers) of both numerator and denominator, there can be odd and even multipliers possible for the resultant number \(34.06\). P(remainder=6) is \(1/2\), because only the even option out two options (odd and even) results in the remainder of 6. Answer is C
Ahasunhabib999 wrote:
If a and b are both integers \(\frac{a}{b}=34.06\) and what is the probability that the remainder of \(\frac{a}{b}\) is a multiple of 6?
a. 0.3
b. 0.45
c. 0.5
d. 1
e. 0.66
a. 0.3
b. 0.45
c. 0.5
d. 1
e. 0.66
