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Set A consists of integers 9, 8, 3, 10, and J; Set B consists
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22 Dec 2014, 03:12
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78% (01:52) correct 22% (02:55) wrong based on 138 sessions
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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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Joined: 14 Dec 2014
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Re: Set A consists of integers 9, 8, 3, 10, and J; Set B consists
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22 Dec 2014, 03:19
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
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22 Dec 2014, 03:24
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
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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^W34.



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