## Solution:

We are provided that Q is one **ODD NUMBER** and that the average of Q **CONSECUTIVE INTEGERS** is 120. Let’s select a practically number because that Q, such together 3. We can now say:

The median of 3 continually integers is 120. Because 120 is the MEDIAN, or middle number of these integers, our 3 integers room the following:

119, 120, 121

The answer selections present us through formulas for the worth of the largest integer in the sequence. To recognize the exactly formula, we as such will plug 3 in because that Q in each answer an option until we get 121.

You are watching: If q is an odd number and the median of q

**A) (Q-1)/2 + 120**

(3-1)/2 + 120 = 1 + 120 = 121.

This **IS** same to 121.

**B) 3q/2**

(3 x 3)/2 = 9/2 = 4.5

This **IS NOT** same to 121.

**C) 150q**

150 x 3 = 450

This **IS NOT** equal to 121.

**D) q/100**

3/100 = .03

This **IS NOT** same to 121.

**E) 150/q**

150/3 = 50

This **IS NOT** equal to 121.

The only answer the is same to 121.

**Answer: A**

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About The writer Scott Woodbury-Stewart

Scott Woodbury-Stewart is the founder & CEO that Target test Prep. A passionate teacher that is deep invested in the success that his students, Scott began his career to teach physics, chemistry, math, and also biology. Since then, he has spent more than a decade helping students obtain entry right into the world’s top company schools, logging 10,000+ hrs of GMAT and GRE instruction. Scott additionally served as lead content developer and also curriculum architect for the revolutionary process Target check Prep GMAT and also Target test Prep GRE Quant.

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