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Arithmetic
Ratio & Proportion
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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

If three numbers are in the ratio 2:3:5 and twice their sum is 100. Find the square of the largest of the three numbers.

A
225
B
625
C
25
D
100
Result Summary
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NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
If three numbers are in the ratio 2:3:5 and twice their sum is 100. Find the square of the largest of the three numbers.
Correct Answer
625
Equation Formulation: Let the numbers be 2x, 3x, and 5x. According to the problem, twice their sum is 100, which means 2 * (2x + 3x + 5x) = 100.Solving for x: S......
Ref/Book : NTPC Graduate Tier 1 2016
Ref. Subject Arithmetic
Chapter -
Ref. Topic Ratio & Proportion
Pg. No -
💡 Analysis & Explanation
Equation Formulation ▼
Let the numbers be 2x, 3x, and 5x. According to the problem, twice their sum is 100, which means 2 * (2x + 3x + 5x) = 100.
Solving for x ▼
Simplifying the equation gives 2 * (10x) = 100, leading to 20x = 100. Thus, x = 5.
Finding the Largest Number ▼
The numbers are 10, 15, and 25. The largest number is 25.
Final Calculation ▼
The square of the largest number is 25 * 25 = 625.
Conclusion ▼
625 is the precise mathematical output.
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