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Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on first number results in the second number. Similarly, certain mathematical operation on second number results in the third number and so on. Which of the given options follows the same set of operations as in question?
(NOTE – A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)
2 - 4 - 16 - 32; 3 - 6 - 36 - 72
5 - 10⁻¹⁰⁰ - 200
9 - 18 - 36 - 72
2 - 4 - 16
6 - 12 - 144 - 248
5 - 10 - 100 - 200
Observe the pattern: First term × 2 = Second term; Second term squared = Third term; Third term × 2 = Fourth term. Check the sequence: 5 → (5×2=10) → (10²=100) → (100×2=200).
Two sets are given: 2 - 4 - 16 - 32 and 3 - 6 - 36 - 72.
n2=n1×2,n3=n22,n4=n3×2
Observe the pattern: First term × 2 = Second term; Second term squared = Third term; Third term × 2 = Fourth term. Check the sequence: 5 → (5×2=10) → (10²=100) → (100×2=200).
Confusing the order of operations, specifically squaring the first number instead of the second, or miscalculating 10 squared as 20 instead of 100.
Analyze the given sequence
In set 2 - 4 - 16 - 32, the operations are: 2 × 2 = 4, 4² = 16, 16 × 2 = 32.
2×24216×232
Validate against Option A
Testing 5 - 10 - 100 - 200: 5 × 2 = 10, 10² = 100, 100 × 2 = 200. This matches the established pattern perfectly.
5×2102100×2200
Conclusion
Since Option A satisfies all operations derived from the question set, it is the correct choice.
A
A is correct because it follows the sequence (n1×2, n2², n3×2) resulting in 5, 10, 100, 200.
This pattern-based logic is frequently used in RRB and banking exams under 'Number Analogy' and 'Missing Number Series'. Always verify if the middle operation involves squares or cubes.
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