Ratio of max (x+y) to min (x-y)
Question
If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7 then what is the ratio of maximum value of (x + y) to minimum value of (x - y)?
Options
6
15/2
-15/2
None of the above
Explanation
To maximize (x+y), we take the maximum possible values for both variables: \max(x) + \max(y) = 8 + 7 = 15. To minimize (x-y), we must start with the smallest possible value for x and subtract the largest possible value for y: \min(x) - \max(y) = 4 - 7 = -3. The required ratio is the maximum value divided by the minimum value. Ratio = 15 / -3 = -5. Since -5 is not among the given numerical choices, the correct option is "None of the above".
Answer: (d).
Question details
Year
2025
Paper
CSAT
Question
Q36
Section
Numerical Ability
Sub-topic
Inequalities & Ranges
Type
Algebra & equations
Difficulty
Medium
Source hint
Range arithmetic
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