Ratios — Compound Proportionality
Question
Suppose x, y and z are variables taking positive real numbers as their possible values. It is given that y is directly proportional to x^2 and x is inversely proportional to z. For z=rac{7}{25}, the values of x and y are 5 and 50, respectively. If y=98, what is z equal to?
Options
\frac{1}{7}
\frac{1}{5}
\frac{5}{7}
1
Explanation
Let us translate the proportional relationships into mathematical equations:
Let us find the constant values using the initial data (z = 7/25, x = 5, y = 50):
Now, substitute the new value y = 98 to find the corresponding value for z:
7 × z = 7/5 \implies z = 1/5
Answer: (b).
Question details
Year
2026
Paper
CSAT
Question
Q10
Section
Quantitative Aptitude
Sub-topic
Ratio & Proportion
Type
Arithmetic Problem
Difficulty
Medium
Source hint
Standard variation — proportional constant determination
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