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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

If 7.5 : 19.5 :: 16 : x, find the value of x.

A
39.4
B
41.1
C
41.6
D
45.1
Result Summary
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NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
If 7.5 : 19.5 :: 16 : x, find the value of x.
Correct Answer
41.6
Proportion Fundamentals: In any mathematically valid proportion formulated as (a : b :: c : d), the governing rule states that the product of the extremes (a &t......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Ratio & Proportion
Pg. No -
💡 Analysis & Explanation
Proportion Fundamentals ▼
In any mathematically valid proportion formulated as (a : b :: c : d), the governing rule states that the product of the extremes (a × d) must absolutely equal the product of the means (b × c).
Equation Setup ▼
Applying this theorem to the provided figures translates directly into the algebraic equation: 7.5 × x = 19.5 × 16.
Calculation Step ▼
Processing the arithmetic for the mean terms yields a product of 19.5 × 16 = 312.
Solving for Variable ▼
Isolating 'x' by dividing this product by the leading extreme term gives x = 312 / 7.5, which precisely evaluates to 41.6.
Conclusion ▼
The mathematically accurate value for x is 41.6.
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