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Algebra
Variation and Proportion
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RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

X is directly proportional to A2 and A is inversely proportional to Y. If X is 97 when Y is 6, find X when Y is 2.

A
873
B
871
C
872
D
875
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
X is directly proportional to A2 and A is inversely proportional to Y. If X is 97 when Y is 6, find X when Y is 2.
Correct Answer
873
Proportionality Formulation: We break down the given statements. First, X ∝ A2 implies X = k1 * A2. Second, A ∝ 1/Y implies A = k2 / Y. Substituting t......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Algebra
Chapter -
Ref. Topic Variation and Proportion
Pg. No -
💡 Analysis & Explanation
Proportionality Formulation ▼
We break down the given statements. First, X ∝ A2 implies X = k1 * A2. Second, A ∝ 1/Y implies A = k2 / Y. Substituting the second equation into the first yields a consolidated relationship: X = k1 * (k2 / Y)2. This logically simplifies to X = K / Y2, where K is a unified constant of proportionality.
Determining the Constant (K) ▼
We utilize the initial condition provided: X = 97 when Y = 6. Substituting these into our unified equation: 97 = K / 62, which means 97 = K / 36. Solving for K gives K = 97 * 36 = 3492.
Final Calculation ▼
The question asks for the value of X when Y is strictly 2. Using our completed formula X = 3492 / Y2, we substitute Y=2 to get X = 3492 / (22) = 3492 / 4.
Conclusion ▼
Dividing 3492 by 4 exactly yields the final value of 873.
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