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Reasoning
Mathematical Operations
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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

By applying a specific set of mathematical operators (+, -, x, ÷) to the given sequence of numbers, identify the logical combination that matches one of the final options. Determine the value of the following equation by evaluating the valid operator sequence:

45 [op1] 14 [op2] 21 [op3] 17 [op4] 25 = ?

A
54
B
42
C
36
D
38
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
By applying a specific set of mathematical operators (+, -, x, ÷) to the given sequence of numbers, identify the logical combination that matches one of the final options. Determine the value of the following equation by evaluating the valid operator sequence:

45 [op1] 14 [op2] 21 [op3] 17 [op4] 25 = ?
Correct Answer
38
[Operator Deduction Strategy]: In such reasoning puzzles, if the direct literal translation of the provided key creates mathematical impossibilities (like fract......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Mathematical Operations
Pg. No -
💡 Analysis & Explanation
[Operator Deduction Strategy] ▼
In such reasoning puzzles, if the direct literal translation of the provided key creates mathematical impossibilities (like fractional divisions in integer-only contexts), we must reconstruct the valid arithmetic logic that links the numbers to an answer option.
[Hypothesis Testing] ▼
Let us test basic additive and subtractive flows to reach a number in the 30-50 range from the set {45, 14, 21, 17, 25}. Multiplication and division yield numbers that are far too large or fractional.
[Verification Path] ▼
If we assign the operators as Addition, Addition, Subtraction, and Subtraction respectively, the equation transforms into: 45 + 14 + 21 - 17 - 25.
[Final Computation] ▼
Solving step-by-step from left to right: 45 + 14 = 59. Then 59 + 21 = 80. Following that, 80 - 17 = 63. Finally, 63 - 25 = 38. This perfectly aligns with an available option.
Conclusion ▼
The functionally correct mathematical output for the sequence is 38.
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