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Set A consists of integers -9, 8, 3, 10, and J; Set B consists

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Set A consists of integers -9, 8, 3, 10, and J; Set B consists  [#permalink]

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New post 22 Dec 2014, 03:12
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Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5

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Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists  [#permalink]

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New post 22 Dec 2014, 03:19
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34 has only following factors 1,2,17,24
if R^W is a factor of 34 then W can take only 1 or 0.
If J is negative then R becomes 3 as it is the middle term in the 1st sequence.
So 3^W is a factor of 34. however 34 has only 4 factors mentioned above. So W must be equal to zero if at all 3^W has to be the factor of 34.
if the mode W is 0 then T must be equal to 0

Ans B
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Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists  [#permalink]

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New post 22 Dec 2014, 03:24
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uday1409 wrote:
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5


since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.

mode of the set is a number which occurs maximum number of time in the set. now, since T is the mode of the set. therefore t=0. hence answer is B
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Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists  [#permalink]

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New post 22 Dec 2014, 05:22
As its given that J is negative, R = 3
34 = 17 * 2
As W is a mode of B => T has to take any one of the values from B.
No other value except T = 0 will make R^W|34.
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Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists  [#permalink]

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New post 08 Nov 2017, 06:02
uday1409 wrote:
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5


A = { -9, 3, 8, 10, J }
Median R
J is negative so we have 2 negative numbers. Hence, median must be 3.
R = 3

B = { -2, 5, 0, 7, -6, T }
Mode W (this means one of the known 5 numbers is the value of T and that is the mode W)

Factors of 34 = 1, 2, 17, 34
3^W is one of these numbers. W has to be 0 because only 3^0 = 1 is a possible factor.
T = W = 0

Answer (B)
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Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists &nbs [#permalink] 08 Nov 2017, 06:02
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