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# Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol

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Joined: 02 Sep 2009
Posts: 52363
Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol  [#permalink]

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10 Apr 2018, 20:49
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Difficulty:

25% (medium)

Question Stats:

79% (01:03) correct 21% (01:20) wrong based on 59 sessions

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Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the following pairs of terms, if added to Set M, would ensure that Set M has exactly two modes?

A. {2, 3}
B. {9, 9}
C. {1, 6}
D. {4, 5}
E. {10, 10}

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Re: Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol  [#permalink]

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11 Apr 2018, 06:24
Ans C, if we add just { 1, 6} we will have two modes 3 and 9

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Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol  [#permalink]

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11 Apr 2018, 08:46
Bunuel wrote:
Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the following pairs of terms, if added to Set M, would ensure that Set M has exactly two modes?

A. {2, 3}
B. {9, 9}
C. {1, 6}
D. {4, 5}
E. {10, 10}

Logic - Set M already has two modes, 3 and 9

There are only two ways to make M continue to have two modes:
1) add one 3 and one 9; or
2) Add two unequal numbers not in the set

#1 is not among the options
#2 shows up in C) {1, 6}

Options Looking only at existing modes and possible modes created:

A. {2,3}: 2,2,3,3,3,9,9. ONE mode now (3)

B. {9,9}: 3,3,9,9,9,9. ONE mode now (9)

C. {1,6}: 1,3,3,6,9,9. TWO modes now (3,9). CORRECT

D. {4,5}: 3,3,4,4,5,5,9,9. FOUR modes now (3,4,5,9)

E. {10,10}: 3,3,9,9,10,10: THREE modes now (3,9,10)

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Re: Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol  [#permalink]

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12 Apr 2018, 09:40
Option C.

{1, 6} and we will have two modes: 3 and 9.
Re: Set M consists of the terms {2, 3, 3, 4, 5, 7, 9, 9}. Which of the fol &nbs [#permalink] 12 Apr 2018, 09:40
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