Number series – add descending perfect squares (14^2, 13^2, 12^2, 11^2, 10^2): 4, 200, 369, 513, 634, ?
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
Answer
Correct Answer: 734
Explanation
Introduction / Context:Another classic pattern is adding consecutive perfect squares (often descending). Once identified, extension is immediate and exact.
Given Data / Assumptions:
- 4→200 (+196 = 14^2)
- 200→369 (+169 = 13^2)
- 369→513 (+144 = 12^2)
- 513→634 (+121 = 11^2)
Concept / Approach:Continue with the next lower square: 10^2 = 100.
Step-by-Step Solution:
Next term = 634 + 100 = 734.Verification / Alternative check:All increments are perfect squares descending by 1 in the base (14, 13, 12, 11, 10).
Why Other Options Are Wrong:
715/755/788 would imply non-square increments (81, 121, 154) that break the 14^2→…→10^2 ladder.Common Pitfalls:Attempting ratios between terms; the additive square structure fits perfectly.
Final Answer:734