Number series (constant decrement −3) Sequence: 32 29 26 23 20 17 14 … Choose the next two numbers.
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
-
A11 8
-
B12 8
-
C11 7
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D32 29
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E10 9
Answer
Correct Answer: 11 8
Explanation
Introduction / Context:This arithmetic progression decreases steadily by a constant amount. Accuracy in repeated subtraction is all that is needed.
Given Data / Assumptions:
- Sequence: 32, 29, 26, 23, 20, 17, 14.
- Constant step: −3.
Concept / Approach:Extend by subtracting 3 sequentially from the last term provided.
Step-by-Step Solution:
After 14, next is 14 − 3 = 11.Then 11 − 3 = 8.Verification / Alternative check:Rebuild tail: 20, 17, 14, 11, 8 maintains −3 each time.
Why Other Options Are Wrong:
- 12 8 / 11 7 / 10 9: At least one value violates the −3 step.
- 32 29: Repeats earlier terms and ignores continuation.
Common Pitfalls:Miscalculating one of the subtractions when working quickly.
Final Answer:11 8