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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

Which among the following is true for the given numbers?

A. 3/8 < 19/73 < 29/47 < 17/39
B. 19/73 < 3/8 < 17/39 < 29/47
C. 19/73 < 3/8 < 29/47 < 17/39
D. 19/73 < 29/47 < 3/8 < 17/39

A
3/8 < 19/73 < 29/47 < 17/39
B
19/73 < 3/8 < 17/39 < 29/47
C
19/73 < 3/8 < 29/47 < 17/39
D
19/73 < 29/47 < 3/8 < 17/39
Result Summary
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APEDIA

NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
Which among the following is true for the given numbers?

A. 3/8 < 19/73 < 29/47 < 17/39
B. 19/73 < 3/8 < 17/39 < 29/47
C. 19/73 < 3/8 < 29/47 < 17/39
D. 19/73 < 29/47 < 3/8 < 17/39
Correct Answer
19/73 < 3/8 < 17/39 < 29/47
Decimal Conversion Strategy: To easily arrange cumbersome fractions into an ascending sequence, converting them into approximate two- or three-digit decimals is......
💡 Analysis & Explanation
Decimal Conversion Strategy
To easily arrange cumbersome fractions into an ascending sequence, converting them into approximate two- or three-digit decimals is the most efficient method.
Evaluation of Fractions
The fraction 3/8 equals exactly 0.375. The fraction 19/73 is approximately 0.260. The fraction 17/39 is approximately 0.435. The fraction 29/47 is approximately 0.617.
Sequential Arrangement
Comparing the decimal values yields the distinct ascending order: 0.260 < 0.375 < 0.435 < 0.617.
Final Mapping
Re-substituting the original fractions back into this established inequality chain results in: 19/73 < 3/8 < 17/39 < 29/47.
Conclusion
Option B accurately mirrors this mathematically proven sequence.