Last Updated on May 3, 2023
GMAT OFFICIAL GUIDE PS
Solution:
We are given that Q is an ODD NUMBER and that the median of Q CONSECUTIVE INTEGERS is 120. Let’s choose a convenient number for Q, such as 3. We can now say:
The median of 3 consecutive integers is 120. Since 120 is the MEDIAN, or middle number of these integers, our 3 integers are the following:
119, 120, 121
The answer choices present us with formulas for the value of the largest integer in the sequence. To determine the correct formula, we therefore will plug 3 in for Q in each answer choice until we get 121.
A) (Q-1)/2 + 120
(3-1)/2 + 120 = 1 + 120 = 121.
This IS equal to 121.
B) 3q/2
(3 x 3)/2 = 9/2 = 4.5
This IS NOT equal to 121.
C) 150q
150 x 3 = 450
This IS NOT equal to 121.
D) q/100
3/100 = .03
This IS NOT equal to 121.
E) 150/q
150/3 = 50
This IS NOT equal to 121.
The only answer that is equal to 121.
Answer: A
