Number series – alternating +12, −24, +36, −48, … (magnitudes +12 each time): 620, 632, 608, 644, 596, ?

Difficulty: Easy

Correct Answer: 656

Explanation:

Introduction / Context:An alternating add/subtract pattern with steadily growing magnitudes is a staple in number-series questions. The size of the adjustment increases by a fixed amount each time.

Given Data / Assumptions:

  • 620 → 632 (+12)
  • 632 → 608 (−24)
  • 608 → 644 (+36)
  • 644 → 596 (−48)

Concept / Approach:Magnitudes follow 12, 24, 36, 48 → next is 60; signs alternate +, −, +, −, so the next step is +60.

Step-by-Step Solution:

Next term = 596 + 60 = 656.

Verification / Alternative check:Continuing would be −72 afterward, maintaining the +12 ladder and sign alternation.

Why Other Options Are Wrong:

646/+50, 556/−40, 536/−60 do not match the required +60 step.

Common Pitfalls:Missing the alternating signs and focusing only on magnitudes.

Final Answer:656

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