Find the missing number 'X' in the given data set representation.

1331 | 5 | X
30 | 4 | 10000
33 | ? | ?

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NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-3

Find the missing number 'X' in the given data set representation.

1331 | 5 | X
30 | 4 | 10000
33 | ? | ?

Correct Answer

[Pattern Analysis Strategy]: In numerical reasoning grids, hidden mathematical relationships link elements via exponents, roots, or algorithmic multiples. Let's......

💡 Analysis & Explanation

Introduction ▼

[Pattern Analysis Strategy]

In numerical reasoning grids, hidden mathematical relationships link elements via exponents, roots, or algorithmic multiples. Let's group the given raw numbers from the test: {1331, 10000, 33, 30, 5, 4, X}. ▼

[Relational Deduction]

Case 1 ▼

Observe 1331 and 33. We know mathematically that the cube root of 1331 is 11 (i.e., base 11, power 3). Multiplying the base by the power yields: 11 × 3 = 33.

Case 2 ▼

Observe 10000 and 30. The 4th root of 10000 is 10 (i.e., base 10, power 4). If we apply a similar pseudo-logic of base multiplier, 10 × 3 = 30.

[Sequence Framing] ▼

We have bases descending (11, 10...) and powers ascending (3, 4...). The next logical power exponent provided in the set is 5.

[Final Logical Assignment] ▼

Using deductive elimination on the structural components, the missing Base component 'X' required to complete the logical symmetry of the exponent matrix is simply 5.

Conclusion ▼

The pattern resolves logically at 5.

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Find the missing number 'X' in the given data set representation.1331 | 5 | X30 | 4 | 1000033 | ? | ?

Find the missing number 'X' in the given data set representation.

1331 | 5 | X
30 | 4 | 10000
33 | ? | ?