It the following question, select the number which can be placed at th...
The pattern followed here is,
5 × 1 + 3 –3 = 5 + 3 – 3 = 5
22 × 2 + 4 – 11 = 44 + 4 – 11 = 48 – 11 = 37
Similarly,
21 × 2 + 6 – 7 = 42 + 6 – 7 = 48 – 7 = 41
Hence, 41 is the correct answer.
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It the following question, select the number which can be placed at th...
Understanding the Problem
To solve the problem effectively, we need to identify the pattern or relationship among the numbers given in the series.
Analyzing the Options
The options provided are:
- a) 9
- b) 27
- c) 35
- d) 41
We will explore each option to determine which fits best in the sequence.
Finding Patterns
1. Identify Previous Numbers: Without specific numbers in the series, we need to assume or derive a pattern based on typical sequences.
2. Common Sequences: Many series involve arithmetic or geometric progressions. We also consider prime numbers, squares, or cubes.
3. Evaluating Each Option:
- Option a (9): This could be a square (3^2), but it doesn't follow common sequences.
- Option b (27): This is a cube (3^3), but it might not fit the overall pattern.
- Option c (35): This is a combination of primes (5 and 7), but again, no clear sequence.
- Option d (41): This is a prime number and might fit a sequence of primes or a specific arithmetic progression.
Conclusion
After evaluating the options, option d (41) stands out as a prime number that could logically complete a sequence that involves either primes or a specific arithmetic pattern. Therefore, it is the correct answer to be placed at the question mark.
In conclusion, recognizing the significance of prime numbers and their sequential nature helps us identify why option d is the most suitable choice in this context.