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If Q is an odd number and the median of Q consecutive

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Intern
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Joined: 25 Feb 2017
Posts: 47

Kudos [?]: 8 [0], given: 30

GMAT 1: 720 Q50 V38
GPA: 3.67
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Re: If Q is an odd number and the median of Q consecutive [#permalink]

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New post 01 May 2017, 18:49
If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?

(A) (Q - 1)/2 + 120
(B) Q/2 + 119
(C) Q/2 + 120
(D) (Q + 119)/2
(E) (Q + 120)/2

My 2 cents.
Plug in.

Assume that Q = 3
119,120,121, the largest is 121

Plug in.
a) (3-1)/2 + 120 = 121 check.
all others, just by briefly looking at them, you know that they are out.

A.

Kudos [?]: 8 [0], given: 30

Intern
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Joined: 14 Mar 2012
Posts: 1

Kudos [?]: [0], given: 0

If Q is an odd number and the median of Q consecutive [#permalink]

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New post 15 Oct 2017, 09:50
You need to study the arithmetic sequence formulas , which should get it straight forward

Xn=a+(n-1)d , n=numbers in sequence , a=first number and d=differnce
Xq=a+(q-1)-->1
(Xq+a)/2 =120 -->2 Median=Arithmetic mean equation

from 2&1 , x=2(120)-X+Q-1 , 2X=2(120)+Q-1

X=120 + (Q-1)/2

most of the replies tell to test numbers , but in the real exam testing number could be very hard and confusing , remember the formulas

Kudos [?]: [0], given: 0

If Q is an odd number and the median of Q consecutive   [#permalink] 15 Oct 2017, 09:50

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If Q is an odd number and the median of Q consecutive

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