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Arithmetic
Simplification
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NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

The value of 173 - 102 + (26/13)2 - 12 + 20 × 12 =

A
5040
B
5046
C
5055
D
5045
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
The value of 173 - 102 + (26/13)2 - 12 + 20 × 12 =
Correct Answer
5045
Sequential Calculation Protocol: To avoid cascading errors, we meticulously break down the long mathematical expression into solvable, isolated chunks using sta......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Arithmetic
Chapter -
Ref. Topic Simplification
Pg. No -
💡 Analysis & Explanation
Sequential Calculation Protocol ▼
To avoid cascading errors, we meticulously break down the long mathematical expression into solvable, isolated chunks using standard order of operations.
Resolving Exponents and Brackets ▼
Step one involves computing the pure powers. 17 cubed (17 × 17 × 17) results in 4913. 10 squared is strictly 100. The bracketed division (26 / 13) simplifies internally to 2, and squaring that 2 yields 4.
Executing Multiplication ▼
Scanning the remainder of the equation, we spot a multiplication block at the end. 20 multiplied by 12 yields exactly 240.
Linear Addition and Subtraction ▼
Substituting these resolved chunks back into the main line gives: 4913 - 100 + 4 - 12 + 240. Moving strictly left to right: 4913 - 100 = 4813. Then, 4813 + 4 = 4817. Following that, 4817 - 12 = 4805. Finally, we add the terminal block: 4805 + 240 = 5045.
Conclusion ▼
The expression collapses flawlessly to a final arithmetic value of 5045.
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