Number series (constant decrement −3) Sequence: 44 41 38 35 32 29 26 … Choose the next two numbers.
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
-
A24 21
-
B22 19
-
C23 19
-
D29 32
-
E23 20
Answer
Correct Answer: 23 20
Explanation
Introduction / Context:This problem checks your ability to spot a simple arithmetic progression with a negative common difference. Such patterns are common in quick-calculation tests.
Given Data / Assumptions:
- Series provided: 44, 41, 38, 35, 32, 29, 26.
- Each step appears to reduce the value by a constant.
Concept / Approach:Compute the difference between consecutive terms. If the difference is consistent, extend by subtracting the same amount.
Step-by-Step Solution:
41 − 44 = −3.38 − 41 = −3.35 − 38 = −3, and so on.Last term shown is 26. Next terms: 26 − 3 = 23; then 23 − 3 = 20.Verification / Alternative check:Re-list last few: 32, 29, 26, 23, 20 — maintains the −3 step.
Why Other Options Are Wrong:
- 24 21, 22 19, 23 19: One or both steps deviate from the −3 pattern.
- 29 32: Reverses direction and breaks the consistent decrement.
Common Pitfalls:Accidentally subtracting −2 or −4 due to mental slip.
Final Answer:23 20