Average of three numbers - value of r
Question
The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?
Options
k
k - 1
k + 1
k/2
Explanation
Translate the word problem into algebraic equations. The average is k: p+q+r/3 = k \implies p+q+r = 3k. The statement "p is as much more than the average as q is less than the average" translates to the equation: p - k = k - q. Rearranging this gives ⟨MATH⟩p + q = 2k⟨/MATH⟩. Substitute this sum back into the first equation: 2k + r = 3k \implies r = k.
Answer: (a).
Question details
Year
2025
Paper
CSAT
Question
Q58
Section
Numerical Ability
Sub-topic
Averages
Type
Algebra & equations
Difficulty
Easy
Source hint
Average arithmetic
Same sub-topic — other years
Averages has appeared in multiple CSAT papers:
See all questions on Averages
Browse every tagged question across all years